Sep 27, 2024

OHIO University Undergraduate Catalog 2022-23

OHIO University Undergraduate Catalog 2022-23 [Archived Catalog]

Course Descriptions

The course information (including course titles, descriptions, credit hours, requisites, repeat/retake information, OHIO BRICKS, and active status) contained in this catalog is effective as of Fall Semester 2022-23. This information is subject to change at the discretion of Ohio University.

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Marketing
	MKT 4100 - Sustainability Marketing In this course, students investigate the overlap between marketing and sustainability in a dynamic business landscape. Using a combination of lectures, videos, assignments, and group projects, the class examines the environmental, social, and economic principles of sustainability within a business context. Students learn to think critically and creatively to challenge assumptions and uncover bridges and barriers to successful marketing strategy. Finally, students discuss the role of personal beliefs and cultural norms in an interconnected, global economy. The goal is to develop responsible, analytical, curious businesspeople who are ready to tackle the issues of our changing planet. Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to describe and summarize the history and current global trends in sustainability marketing Students will be able to examine business decisions through multiple lenses, including ethical, environmental, economic, social, & political Students will be able to analyze frameworks and theories related to sustainability and the marketing mix Students will be able to differentiate and position brands based on their sustainability initiatives Students will be able to investigate and explain brand authenticity and corporate strategy as it relates to sustainability
	MKT 4200 - Services Marketing Reflects the increasing proportion of GNP taken up by the service sector. Industries that do not sell a physical good as their main offering to the public are examined. These could include the recreations industry, government agencies, financial institutions, and professional (legal, medical) services. Requisites: MKT 2020 or 2400 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to explain differences between goods and services. Students will be able to recognize considerations that services marketers encounter. Students will be able to classify types of service industries and organizations and evaluate the impact of the service economy. Students will be able to define and measure the concepts of customer satisfaction and service quality. Students will be able to discuss aspects involved in managing services.
	MKT 4250 - Business to Business Marketing Introduces the field of business-to-business (B2B) marketing. Answers the questions: What is business marketing? In what markets does it occur? Topics include: Organizational buyer behavior, methods of assessing business market opportunities, and business marketing strategies. Requisites: MKT 2020 or 2400 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to define business-to-business marketing terminology, concepts, activities, and strategies. Students will be able to explain the role of customer relationship management. Students will be able to develop business models and frameworks. Students will be able to evaluate critical business-to-business management problems and develop solutions using quantitative and qualitative methods. Students will be able to compare decisions related to ethical, global, and sustainability issues within the context of business-to-business marketing.
	MKT 4300 - Digital Marketing and Sales Strategies The course is designed to help students learn how to design and execute digital marketing strategies that will effectively reach target audiences, develop their attention, and convert them to customers. Requisites: MKT 2020 or 2400 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to discuss and identify components of media tactics used in digital marketing strategies. Students will be able to explain the role of data, analytics and technology in digital marketing. Students will be able to apply knowledge and skills to create digital marketing campaigns and strategies. Students will be able to identify new information and trends in digital marketing and assess the advantages and limitations of digital media.
	MKT 4410 - International Marketing Focuses on understanding the major issues facing international/global marketing managers today through the application of marketing principles in the international/global business environment. This course also builds awareness of ethical, international, and cross-cultural issues, primarily, as they relate to marketing decisions, encourages the search for cross-cultural contact, and creates cultural curiosity in the students to guide students to become Global Citizens. Requisites: MKT 2020 or 2400 Credit Hours: 3 OHIO BRICKS Bridge: Diversity and Practice Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to identify and describe international marketing concepts, activities, and strategies. Students will be able to develop a strategic framework for implementing international programs with strong emphasis on exploring country specific differences. Students will be able to explain ethics and sustainability issues as they relate to global marketing and general business decisions. Students will be able to display cultural self-awareness, cultural curiosity, and empathy, as well as to employ effective communication skills.
	MKT 4440 - Consumer Behavior Iillustrates the practical importance of understanding consumers’ knowledge and attitudes, incorporating various approaches for assessing such knowledge and attitudes. Identifies major factors that influence how consumers process and learn marketing information and considers various techniques marketers can use to influence consumer attitudes and behavior. Requisites: MKT 2020 or 2400 and WARNING: No Credit for both this course and the following (always deduct credit for the first course taken): MKT 3020 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to describe the internal and external influences associated with consumer behavior and to recognize both their varying and joint impacts. Students will be able to explain the steps of the consumer decision-making process. Students will be able to identify how consumer behavior is integrated into business and marketing strategy and how consumer-related information aids in organizational decision-making. Students will be able to apply consumer marketing terminology, concepts, activities, and strategies to generate insights and solve marketing problems. Students will be able to employ consumer behavior knowledge to become more informed consumers and better employees via a heightened awareness of marketplace forces.
	MKT 4500 - Management of Promotion Integrates communication theory, concepts and research with in-depth treatment of the following elements of the promotional mix: advertising, sales promotions, public relations, and point-of-purchase communications. Requisites: MKT 2020 or 2400 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to explain the role of promotions in the marketing mix and within the business functions an organization. Students will be able to describe integrated brand promotions and its role in an organization. Students will be able to classify marketing communication techniques and evaluate when to utilize each. Students will be able to create a strategic marketing communications plan.
	MKT 4550 - Achieving Customer Satisfaction and Service Excellence Teaches students how companies can retain their current customers and develop long-term profitable relationships with them. Requisites: MKT 2020 or 2400 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to describe and evaluate marketing concepts, activities, and strategies associated with customer satisfaction and service excellence. Students will be able to summarize theories for creating and managing customer value. Students will be able to translate theories of building customer relationships strategies and tactics for delivering customer service excellence. Students will be able to identify strategies for developing service-centric cultures.
	MKT 4580 - Sales Management Principles and practices in planning, organizing, and controlling sales force. Selection, training, compensating, supervising, and stimulating salespeople. Analysis of sales potentials and costs. Requisites: MKT 3580 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to identify the role of sales management in an organization¿s strategy. Students will be able to evaluate an organization’s business cycle and connect its cycle to the design of a sales structure. Students will be able to describe and apply the principles used to determine sales compensation. Students will be able to evaluate salesperson performance based on evaluation criteria. Students will be able to develop a sales strategy for an organization.
	MKT 4600 - Brand Management The course provides an overview of the key principles of brand building and brand management. The topics include designing effective brand strategy and tactics, developing a brand value proposition, managing brand portfolios, cobranding, brand repositioning, brand extensions, brand valuation, and the legal aspects of protecting the brand. The course emphasizes practical applications and case studies. Requisites: MKT 2020 or 2400 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to define branding terms and approaches Students will be able to explain how brands are built, managed, positioned, extended, and re-positioned Students will be able to critique brand positioning, growth, and maintenance strategies as a means of creating market value Students will be able to compare techniques for measuring brand impact and equity Students will be able to evaluate brand management techniques designed to grow and sustain brand equity Students will be able to describe legal concepts associated with brand protection
	MKT 4630 - Marketing Strategy Capstone course focuses on the integration of marketing knowledge accumulated as a marketing major. Includes situation analysis and development of strategic marketing plans. Consideration is given to the complex dynamic environment in which all marketing activities take place. Requisites: MKT 2400 and 3580 and 3790 and 4440 and SR Credit Hours: 3 OHIO BRICKS Capstone: Capstone or Culminating Experience General Education Code (students who entered prior to Fall 2021-22): 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to formulate strategy and value creation in marketing. Students will be able to describe segmentation, targeting, and positioning for customer, company, and collaborator value. Students will be able to identify and define the role of the marketing mix elements in marketing strategy. Students will be able to formulate a marketing strategy for business growth.
	MKT 4650 - New Product Development The course provides an overview of the key principles of new product development and product management over a product’s life cycle. Topics include target market identification, product value propositions, product adoption, new product development processes, product positioning, and product mix strategies. Course emphasizes practical applications and case studies. Requisites: MKT 2020 or 2400 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to explain the importance of innovation and why it should be a key strategic initiative in an organization Students will be able to comprehend and apply the language of new product development (NPD) and product management Students will be able to apply new product and service development concepts to business problems, exercises, and cases Students will be able to determine why new products fail or succeed and illustrate examples of each Students will be able to develop a new product development plan for a new product or service concept
	MKT 4680 - Consultative Sales Sales capstone course for college seniors focused on selling as a career. Students learn how to successfully match the selling process with a decision maker’s buying process. Requisites: MKT 3580 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to recognize the role of strategic account management in the business world. Students will be able to employ advanced sales approaches that focus on the decision-making process for strategic accounts and develop adaptive strategies to manage and close a complex sales process. Students will be able to apply advanced tools to analyze the profitability and riskiness of strategic accounts. Students will be able to distinguish solutions and value from products and services. Students will be able to describe strategies that add value for top management. Students will be able to identify ethical, global, and sustainability issues as they relate to complex sales.
	MKT 4700 - Marketplace Analytics Course provides opportunities to understand the use of data and analytics tools, processes, and techniques for the purposes of generating knowledge, developing business intelligence, and improving managerial decision-making within the context of factors associated with the marketplace. Requisites: MKT 2400 and MIS 4580 and QBA 3720 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to use data analytics to improve an organization’s managerial decision-making. Students will be able to illustrate the role of data analytics in solving specifically contextualized managerial problems. Students will be able to analyze how marketplace factors influence the role and usefulness of data analytics to managerial practice. Students will be able to evaluate the strengths, limitations, and value of data analytics information to organizations strategic and managerial choices. Students will be able to develop recommendations for using data analytics data and information to solve current real-world business problems. Students will be able to apply critical thinking skills to solve organizational problems (i.e., consider an issue, use information from sources to develop an analysis, analyze assumptions, defend a specific position, and draw conclusions).
	MKT 4780 - Sales Strategy & Technology Explores the strategy and science of selling. Students learn how to analyze their customers’ needs, how to develop their selling opportunities, what customers want today from professional salespeople and how to use sales technology. Requisites: MKT 3580 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to implement an effective social selling strategy using social media, technology and networking tools. Students will be able to apply a technology-oriented approach to sales by leveraging the use of CRM tools. Students will be able to develop and deliver a web-based sales presentation. Students will be able to identify and interpret criteria for managing boundary spanner effectiveness and sales territory assignment. Students will be able to recognize global and cultural challenges in sales.
	MKT 4900 - Special Topics in Marketing This course covers special topics of interest in Marketing. Requisites: Permission required Credit Hours: 3 Repeat/Retake Information: May be repeated for a maximum of 6.0 hours. Lecture/Lab Hours: 3.0 seminar Grades: Eligible Grades: A-F,PR,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to identify and evaluate marketing concepts, activities, and strategies relevant to the course topic. Students will be able to apply marketing concepts, activities, and strategies relevant to the course topic. Students will be able to describe the strategic importance of the course topic.
	MKT 4910 - Sales Internship Sales Internship Requisites: Permission required Credit Hours: 1 - 3 OHIO BRICKS Bridge: Learning and Doing Repeat/Retake Information: May be repeated for a maximum of 12.0 hours. Lecture/Lab Hours: 3.0 internship Grades: Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to apply sales knowledge to a professional context. Students will be able to perform sales-related tasks in professional context. Students will be able to demonstrate sales-related skills in a professional context.
	MKT 4919 - Marketing Internship Marketing internship Requisites: Permission required Credit Hours: 1 - 3 OHIO BRICKS Bridge: Learning and Doing Repeat/Retake Information: May be repeated for a maximum of 6.0 hours. Lecture/Lab Hours: 3.0 internship Grades: Eligible Grades: F,CR,PR,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to apply marketing knowledge to a professional context. Students will be able to perform marketing-related tasks in a professional context. Students will be able to demonstrate marketing-related skills in a professional context.
	MKT 4930 - Independent Study Readings in selected fields of marketing. Topics selected by student in consultation with faculty member. Requisites: Permission required Credit Hours: 1 - 3 Repeat/Retake Information: May be repeated for a maximum of 12.0 hours. Lecture/Lab Hours: 1.0 independent study Grades: Eligible Grades: A-F,PR,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to discuss the application of marketing terminology, concepts, activities, and strategies to a particular area of study. Students will be able to evaluate marketing concepts, activities, and strategies in a particular area of study. Students will be able to describe the strategic importance of the relevant topic.
	MKT 4940 - Independent Research Research in selected fields of marketing under direction of faculty member. Requisites: Permission required Credit Hours: 1 - 3 OHIO BRICKS Bridge: Learning and Doing Repeat/Retake Information: May be repeated for a maximum of 15.0 hours. Lecture/Lab Hours: 1.0 research Grades: Eligible Grades: A-F,PR,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to identify and describe research related to a marketing topic. Students will be able to evaluate research related to a marketing topic. Students will be able to synthesize research related to a marketing topic.
Mathematics
	MATH D003 - Elementary Algebra Developmental course for students who need preparation for Intermediate Algebra and covers review of Pre-Algebra concepts including whole numbers, integers, fractions, decimals, ratio and proportion, percentages, linear equations, exponents, simplifying and evaluating linear and quadratic polynomials, and other related topics. Warning: Does not meet any graduation requirements. Requisites: Math placement level DV and WARNING (no credit for this course if taken after any other MATH course including developmental MATH courses) and (not ND9955 or ND9956 College Credit Plus) Credit Hours: 2 General Education Code (students who entered prior to Fall 2021-22): 0M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 2.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to apply arithmetic operations in the context of problem solving. Students will be able to calculate percentages, ratios, and proportions and applications of these concepts. Students will be able to evaluate linear and quadratic polynomials. Students will be able to evaluate sum, difference, product, and quotient of real numbers. Students will be able to identify and work with whole numbers, integers, fractions, and decimals. Students will be able to identify properties of arithmetical operations of real numbers. Students will be able to simplify exponents including square roots. Students will be able to simplify linear and quadratic expressions in one unknown by combining like terms. Students will be able to solve linear equations in one unknown.
	MATH D004 - Intermediate Algebra with PreAlgebra Developmental course in algebra for students in need of preparation for math placement level PL1. Review of arithmetic operations with whole numbers, integers, fractions, and decimal numbers. Operations and equations with rational expressions, equations of a line, introduction to functions, introduction to systems of linear equations in two and three variables, absolute-value equations and inequalities, rational exponents, operations and equations with radicals, introduction to complex numbers, quadratic equations and various application problems on these topics. Same as Math D005, but with more review of basic pre-algebra material. No credit for this course if taken after any higher level MATH course. Requisites: MATH Placement Level DV and WARNING: No credit for this course if the following is taken (keeps credit for the following course, as defined by department): MATH course above D004 Credit Hours: 5 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 5.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
	MATH D004 - Intermediate Algebra with PreAlgebra Developmental course in algebra for students in need of preparation for math placement level PL1. Review of arithmetic operations with whole numbers, integers, fractions, and decimal numbers. Operations and equations with rational expressions, equations of a line, introduction to functions, introduction to systems of linear equations in two and three variables, absolute-value equations and inequalities, rational exponents, operations and equations with radicals, introduction to complex numbers, quadratic equations and various application problems on these topics. Same as Math D005, but with more review of basic pre-algebra material. No credit for this course if taken after any higher level MATH course. Requisites: MATH Placement Level DV and WARNING: ((No credit for this course if the following is taken (keeps credit for the following course, as defined by department): MATH course above D004) and (not ND9955 or ND9956 College Credit Plus)) Credit Hours: 5 General Education Code (students who entered prior to Fall 2021-22): 0M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 5.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to add and multiply complex numbers. Students will be able to add, multiply, and factor polynomials. Students will be able to add, multiply, divide, and simplify rational expressions. Students will be able to apply algebraic operations in the context of problem solving. Students will be able to evaluate formulas using algebraic substitution. Students will be able to graph linear and other functions. Students will be able to manipulate rational exponents and radicals in functions and equations. Students will be able to perform operations on real numbers. Students will be able to simplify algebraic and rational expressions. Students will be able to solve equations and inequalities with absolute values. Students will be able to solve linear equations and inequalities. Students will be able to solve linear systems of equations with 2 and 3 variables. Students will be able to solve quadratic equations using the quadratic formula, including all cases. Students will be able to effectively use basic arithmetical operations, fractions, and decimals.
	MATH D005 - Intermediate Algebra Developmental course in algebra for students in need of preparation for math placement level PL1. Operations and equations with rational expressions, equations of a line, introduction to functions, introduction to systems of linear equations in two and three variables, absolute-value equations and inequalities, rational exponents, operations and equations with radicals, introduction to complex numbers, quadratic equations and various application problems on these topics. No credit for this course if taken after D004 or any higher level MATH course. Requisites: Math placement level DV and WARNING: no credit for this course if taken after any other MATH course Credit Hours: 4 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 4.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
	MATH D005 - Intermediate Algebra Developmental course in algebra for students in need of preparation for math placement level PL1. Operations and equations with rational expressions, equations of a line, introduction to functions, introduction to systems of linear equations in two and three variables, absolute-value equations and inequalities, rational exponents, operations and equations with radicals, introduction to complex numbers, quadratic equations and various application problems on these topics. No credit for this course if taken after D004 or any higher level MATH course. Requisites: Math placement level DV and WARNING: no credit for this course if taken after any other MATH course and not ND9955 or ND9956 (not College Credit Plus) Credit Hours: 4 General Education Code (students who entered prior to Fall 2021-22): 0M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 4.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to add and multiply complex numbers. Students will be able to add, multiply, and factor polynomials. Students will be able to add, multiply, divide, and simplify rational expressions. Students will be able to apply algebraic operations in the context of problem solving. Students will be able to evaluate formulas using algebraic substitutions. Students will be able to graph linear and other functions. Students will be able to manipulate rational exponents and radicals in functions and equations. Students will be able to simplify algebraic and exponential expressions. Students will be able to Solve equations and inequalities with absolute values. Students will be able to solve linear equations and inequalities. Students will be able to solve linear systems of equations with 2 and 3 variables. SStudents will be able to solve quadratic equations using the quadratic formula, including all cases.
	MATH D200X - College Algebra Essentials This course is a co-requisite for Math 1200 (College Algebra for students with development placement. Students will use adaptive learning software, such as ALEKS, under the supervision of a mentor/instructor to obtain just-in-time support/review for concepts covered in College Algebra. Requisites: MATH 1200 concurrent and permission Credit Hours: 1 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: laboratory Grades: Eligible Grades: F,CR,WP,WF,WN,FN,AU,I
	MATH D300 - Peer-Led Team Learning Laboratory for Pre-Calculus Small groups of students concurrently enrolled in MATH 1300 Pre-Calculus meet in weekly workshops with a peer mentor. Together, they work on problem sets, reading, and team-based learning projects to master the material in MATH 1300 and the mathematical reasoning it requires. Requisites: MATH 1300 concurrent Credit Hours: 1 General Education Code (students who entered prior to Fall 2021-22): 0M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 2.0 laboratory Grades: Eligible Grades: F,CR,WP,WF,WN,FN,AU,I Learning Outcomes: Students can pass Pre-Calculus.
	MATH D301 - Peer-Led Team Learning Laboratory for Calculus I Small groups of students concurrently enrolled in MATH 2301 meet in weekly workshops with a peer mentor. Together, they work on problem sets, reading, and team-based learning projects to master the material in MATH 263A and the mathematical reasoning it requires. Requisites: MATH 2301 concurrent Credit Hours: 1 General Education Code (students who entered prior to Fall 2021-22): 0M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 2.0 laboratory Grades: Eligible Grades: F,CR,WP,WF,WN,FN,AU,I Learning Outcomes: Students can pass Calculus I.
	MATH 1060 - Quantitative Reasoning This course develops critical thinking and problem solving skills in a variety of mathematical and quantitative contexts including real life situations. The course focuses on framing real-life problems mathematically and quantitatively and then using logical and quantitative techniques, such as linear and exponential growth modeling and statistical literacy, to make predictions and decisions and to solve these problems. Not recommended for students with majors in STEM areas. No credit if Math 1250 or any higher have been completed. Cannot be used for College of Arts and Science requirements. Requisites: ((C or better in MATH D004 or MATH D005) or Math Placement Level 1 or higher) and Warning: No credit if Math 1250 or higher Credit Hours: 3 OHIO BRICKS Foundations: Quantitative Reasoning General Education Code (students who entered prior to Fall 2021-22): 1M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Course Transferability: OTM course: TMM011 Quantitative Reasoning College Credit Plus: Level 1 Learning Outcomes: Students will be able to solve real-world problems requiring the use and interpretation of ratios in a variety of contexts. Students will be able to solve real-world problems relating to rates of change, including growth and decay. Students will be able to distinguish between absolute and relative rates of change and describe the difference using models. Students will be able to compare and contrast statements which are proportional and those that are not. Students will be able to create and use tables, graphs, and equations to model real-world situations and identify the limitations in proposed models. Students will be able to model financial applications such as credit card debt, installment savings, loans, etc. and calculate taxes, mortgage payments, etc. Students will be able to create basic linear and exponential models for real-world problems. Students will be able to choose most appropriate model for a given situation and describe the limitations of the proposed model. Students will be able to critically evaluate statistics being presented in the media, journals, and other publications. Students will be able to critically evaluate sampling strategy, the impact of sample size, and any inferences made. Students will be able to summarize and interpret data sets and compare two or more data sets in the light of the information presented. Students will be able to create visual representations of real-world data sets and be able to describe their strengths and limitations. Students will be able to calculate probabilities and conditional probabilities in real-world settings, and use them to draw conclusions. Students will be able to communicate quantitative findings and results verbally and in writing.
	MATH 1060L - Support for Quantitative Reasoning This course develops skills to support student engagement, critical thinking, and problem solving in a variety of mathematical and quantitative contexts, especially real-life situations.The course focuses on strategies to solve quantitative problems, to comprehend quantitively rich text, to interpret visual displays of quantitative information, to listen to and watch with comprehension quantitively rich presentations, and to represent and communicate quantitative information. The course develops organizational skills, spreadsheet skills, word-processing skills, a growth mindset, self-efficacy, and means to overcome various forms of anxiety. Must be taken concurrently with MATH 1060. Not recommended for students with majors in STEM areas. No credit if MATH 1250 or any higher have been completed. Cannot be used forCollege of Arts and Sciences requirements. · Credit Hours: 1 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: laboratory Grades: Eligible Grades: F,CR,WP,WF,WN,FN,AU,I
	MATH 1090 - Consumer Mathematics Applications of elementary mathematics to day-to-day problems. Special emphasis on consumer topics such as compound interest, mortgages, and installment buying. Scientific calculator required. Does not apply to arts and sciences requirements. No credit for this course if taken after MATH 1250 or higher level MATH course. Requisites: C or better in MATH D005 or MATH 102 or MATH D004 or Math Placement Level 1 or higher and WARNING: No credit for this course if taken after MATH 1250 or higher Credit Hours: 3 General Education Code (students who entered prior to Fall 2021-22): 1M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students can use elementary business mathematics in a variety of applications.
	MATH 1101 - Elementary Topics in Mathematics I Elementary Topics in Mathematics I and II develop mathematical topics usually taught in grades preK-5 to a depth required for future elementary and middle grades educators (and related fields) to establish professional expertise. The courses are taught through an inquiry approach that focuses on problem solving and discussion. Key themes of Elementary Topics in Mathematics I include 1) explaining and justifying standard and alternative algorithms for basic arithmetic operations on whole numbers, rational numbers, and integers that are learned in grades preK-5; 2) students’ construction and critique of their own ideas and others’ ideas; and 3) using manipulatives to represent and justify algorithms. Topics include counting and cardinality, the development of the base-10 number system, properties of and operations on natural, whole, signed, rational, and irrational numbers; and number theory. Satisfies Tier I requirement for elementary education majors only. Does not apply to Arts & Sciences Natural Science requirements. Requisites: (C or better in MATH D004 or MATH D005 or Math placement level 1 or higher) and (education or prim early childhood major) Credit Hours: 4 OHIO BRICKS Foundations: Quantitative Reasoning General Education Code (students who entered prior to Fall 2021-22): 1M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 4.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Course Transferability: OTM course: TMM021 Mathematics in Elementary Education I College Credit Plus: Level 1 Learning Outcomes: Students will be able to justify and explain the meaning of concepts explored, and represent these concepts verbally, numerically, symbolically, graphically, and with concrete manipulatives. Students will be able to describe and understand the relationships between sets, counting, cardinality, and one-to-one correspondence. Students will be able to describe and understand the base-10 number system and its connection to place value. Students will be able to construct the sets of natural, whole, rational, signed, and irrational numbers and understand their properties. Students will demonstrate proficiency with arithmetic operations on natural, whole, signed, rational, and irrational numbers through standard and nonstandard algorithms. Students will be able to explain fundamental ideas of number theory and use these ideas to solve problems, including divisors, factors, primes, prime factorization, composite numbers, greatest common factor, and least common multiple. Students will be able to describe and justify divisibility rules.
	MATH 1102 - Elementary Topics in Mathematics II This is a continuation of MATH 1101. Elementary Topics in Mathematics I and II develop mathematical topics usually taught in grades preK-5 to a depth required for future elementary and middle grades educators (and related fields) to establish professional expertise. The courses are taught through an inquiry approach that focuses on problem solving and discussion. Key themes include 1) explaining and justifying standard and nonstandard algorithms for basic arithmetic operations learned in grades preK-5; 2) students’ construction and critique of their own ideas and others’ ideas; and 3) using manipulatives to represent and justify algorithms. This emphasis on the standard algorithms for basic operations taught in K-8 mathematics and their comparison to children’s invented algorithms allows students to engage with the cultural aspects of mathematics and see how our approach to computation and teaching mathematics reflects our greater access to technology and our evolving values of broader society. The mathematical content is focused on topics of fundamental importance for understanding, reasoning about, interpreting, and constructing arguments with quantitative data. The specific topics include ratios and proportional reasoning, algebraic reasoning, functional and non-linear relationships, and measurement. Properties of two-dimensional and three-dimensional geometric objects are explored including area, congruence, similarity, symmetry and translations. Foundational ideas of probability and statistics are addressed including data displays, measure of central tendency, comparing populations and samples, experimental and theoretical probability, and relationships in bivariate data. Does not apply to Arts & Sciences Natural Science requirements. Requisites: MATH 1101 Credit Hours: 4 OHIO BRICKS Arch: Constructed World General Education Code (students who entered prior to Fall 2021-22): 1M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 4.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Course Transferability: OTM course: TMM022 Mathematics in Elementary Education II College Credit Plus: Level 1 Learning Outcomes: Students will be able to justify and explain the meaning of key concepts, and represent these concepts verbally, numerically, symbolically, graphically, and with concrete manipulatives. Students will be able to use and explain quantitative reasoning and relationships that include ratio, rate, direct proportion, inverse proportion, functional relationships, linear and non-linear relationships, and the use of units in problem situations. Students will be able to investigate and reason about functional relationships represented using data, tables, graphs, equations, and descriptions of functions in words. Students will be able to demonstrate proficiency in solving linear equations through both inverse operations and through alternative methods such as diagrams, and explain the relationships between these methods. Students will be able to use and convert between metric and U.S. customary units of measure of length, area, volume, weight, mass, and capacity, including choosing appropriate units for measurement, and describing the relationships between them. Students will be able to use and describe geometric measure in linear units, measures of area, surface area, volume, and additivity and invariance related to measurements. Students will be able to describe and use basic geometric objects in one, two, and three dimensions, such as line segments, lines, rays, angles, circles, arcs, polygons, polyhedral solids, cylinders, cones, and spheres. Students will be able to describe geometric concepts of angle, parallel, and perpendicular, congruence, similarity and use them in describing and defining shapes and in solving problems. Students will be able to classify shapes into categories and reason to explain relationships among the categories. Students will be able to decompose 2D and 3D geometric objects into parts (e.g., a parallelogram into 2 triangles) and explain and justify properties of geometric objects. Students will be able to derive and explain the rationale behind formulas for perimeter, area, surface area, and volume of these two and three-dimensional figures. Students will be able to explain why the Pythagorean Theorem is valid and under what conditions it is valid and use the Pythagorean Theorem to solve problems. Students will be able to informally prove and explain theorems about angles and solve problems about angle relationships. Students will be able to use and describe a variety of transformations & their properties (translations, rotations, reflections, glide reflections, dilations, compositions) and will express symmetry, congruence, and regularity in terms of transformations. Students will be able to calculate theoretical and experimental probabilities of simple and compound events, and understand why their values may differ for a given event in a particular experimental situation. Students will be able to formulate a statistical question use reasoning about proportional relationships to make claims about a population based on a sample. Students will be able to select, create and interpret appropriate data displays for different types of data in order to ask and answer questions about data and to compare data sets. Students will be able to summarize, describe, and compare distributions of numerical data in terms of shape, measures of central tendency (e.g., mean, median), and spread (e.g., range, interquartile range). Students will be able to generate problem solving strategies collaboratively and respectfully share their thinking in small groups and whole class settings. Students will be able to respectfully question, justify, and evaluate their own and others’ ideas in small groups and whole class settings.
	MATH 1200 - College Algebra Equations, functions and graphs, including linear equations and systems, polynomials, rational and radical expressions, quadratic equations, exponential and logarithmic functions, and inequalities. Students who will not need MATH 1200 for their intended majors or as a prerequisite for other classes should consider MATH 1090, MATH 1250, MATH 1260, or another Tier I quantitative skills course instead. No credit for both this course and MATH 1321 (first course taken deducted). No credit if the student has credit for MATH 2301, 2302, or higher than 2500. Requisites: (C or better in MATH D005 or 102 or D004) or (Math Place DV & co-req MATH 1200L) or (Math Place Level 1 or higher) WARNING: No credit for this crse & MATH 1321. No credit if the student has taken for MATH 2301, 2302, or above 2500. Credit Hours: 4 OHIO BRICKS Foundations: Quantitative Reasoning General Education Code (students who entered prior to Fall 2021-22): 1M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 4.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Course Transferability: OTM course: TMM001 College Algebra College Credit Plus: Level 1 Learning Outcomes: Students will be able to analyze the algebraic structure and graph of functions to determine intercepts, domain, range, intervals on which the function is increasing, decreasing or constant, etc. Students will be able to determine algebraically and graphically whether the graph of an equation exhibits symmetry. Studens will be able to determine whether an algebraic relation or given graph represents a function. Students will be able to find inverses of functions and understand the relationship of the graph of a function to that of its inverse. Students will be able to perform operations with functions including addition, subtraction, multiplication, division and composition. Students will be able to perform transformations of functions including translations, reflections and stretching and shrinking. Students will be able to represent functions verbally, numerically, graphically and algebraically, including linear, quadratic, polynomial, rational, root/radical/power, exponential, logarithmic and piecewise-defined functions. Students will be able to solve a system of linear equations graphically and algebraically by substitution and elimination, and solve application problems that involve systems of linear equations. Students will be able to solve a variety of equations, including polynomial, rational, exponential, and logarithmic, including equations arising in application problems. Students will be able to solve polynomial and rational inequalities graphically and algebraically. Students will be able to understand the difference between an algebraic equation of one, two or more variables and a function and the relationship among the solutions of an equation in one variable, the zeros and intercepts of the corresponding function. Students will be able to use functions, including those listed in the first outcome, to model a variety of real-world problemsolving applications. Students will be able to use the Remainder and Factor Theorems for polynomial functions.
	MATH 1200L - College Algebra Essentials The course provides just-in-time support/review of concepts and skills needed for understanding the material in Math 1200 (College Algebra) and is taken concurrently with Math 1200. Requisites: MATH 1200 Concurrent Credit Hours: 1 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 2.0 laboratory Grades: Eligible Grades: F,CR,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to use algebra concepts that are essential for College Algebra and apply to solve problems. Students will be able to use basic algebra skills to perform operations with functions. Students will be able to use factoring and other algebra concepts to solve polynomial and rational equations as well as inequalities. Students will be able to use algebra concepts to solve applied problems.
	MATH 1250 - Introductory Game Theory The course introduces mathematical models for situations of conflict, whether actual or recreational, and considers two-person, n-person, zero-sum and nonzero-sum games, Nash equilibria, cooperation and the prisoner’s dilemma. Application to fields such as environmental policy, business decisions, football, evolution, warfare and poker will be analyzed. The course uses elements of algebra, geometry and probability skills, including matrix manipulation, linear and quadratic equations, graphing equations, extracting information from graphs, determining probabilities and expectation values. Requisites: C or better in MATH D004 or MATH D005 or MATH 102 or Math Placement Level 1 or higher Credit Hours: 3 OHIO BRICKS Foundations: Quantitative Reasoning General Education Code (students who entered prior to Fall 2021-22): 1M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Course Transferability: OTM course: TMMSL Transfer Module Mathematics, Statistics and Logic College Credit Plus: Level 1 Learning Outcomes: Calculate Nash Equilibria in non-zero-sum games and identify stability and Pareto optimality of solutions. Calculate outcomes and find winning strategies in simple combinatorial games. Find dominance, saddle-points and mixed strategies for zero-sum and interpret their meanings in applications. Model games by game trees and calculate expected payoffs for branches. Model two entity conflicts, both zero- and non-zero-sum, as matrix games. Recognize game theory as a mathematical tool that is applicable in a large variety of contexts. Understand that non-linear problems can have surprising consequences, such as random winning strategies, existence of multiple solutions, and non-existence of acceptable solutions. Use linear equations, quadratic equations, and their graphs. Use the basic axioms and methods of discrete probability. Verify/disprove the axioms of utility and fairness in matrix games.
	MATH 1260 - Finite Mathematics A course in the use of intermediate algebraic and combinatorial techniques in the context of common business applications. Topics include systems of linear equations and matrices, linear programming, mathematics of finance (compound interest, annuities, amortization), sets, counting and elementary probability. Requisites: C or better in MATH D004 or MATH D005 or MATH 102 or Math Placement Level 1 or higher Credit Hours: 3 General Education Code (students who entered prior to Fall 2021-22): 1M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students can recognize optimization problems and use linear programming as a tool to find solutions. Students can use elementary finite probabilities and expectation values in application problems. Students can use linear equations to model and solve application problems. Students can use the techniques of intermediate algebra in a variety of contexts. Students can use vector and matrix notations.
	MATH 1300 - Pre-Calculus Course provides a rigorous treatment of graphs, inverses, and algebraic operations of polynomial, rational, exponential, logarithmic, and trigonometric functions, trigonometry and analytic geometry. The course also includes introductions to linear systems, polar coordinates, vectors, conic sections, sequences and series. Recommended only for students intending to enroll in MATH 2301 Calculus I. No credit for both this course and MATH 1322 (first course taken deducted). Requisites: (C or better in MATH 1200 or MATH 1321) or math placement level 2 or higher WARNING: No credit for both this course and MATH 1322 (first course taken deducted) Credit Hours: 4 OHIO BRICKS Foundations: Quantitative Reasoning General Education Code (students who entered prior to Fall 2021-22): 1M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 4.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Course Transferability: OTM course: TMM002 Pre-Calculus College Credit Plus: Level 1 Learning Outcomes: Analyze the algebraic structure and graph of a function to determine intercepts, domain, range, intervals on which the function is increasing, decreasing or constant, etc. Define the six trigonometric functions in terms of right triangles and the unit circle. Determine algebraically and graphically whether the graph of an equation exhibits symmetry. Determine whether an algebraic relation or given graph represents a function. Express angles in both degree and radian measure. Find inverses of functions and understand the relationship of the graph of a function to that of its inverse. Identify and express the conics (quadratic equations in two variables) in standard rectangular form, graph the conics, and solve applied problems involving conics. Identify and express the general term of arithmetic and geometric sequences, and find the sum of arithmetic and geometric series. Perform basic vector operations both graphically and algebraically addition, subtraction, and scalar multiplication. Perform operations with functions addition, subtraction, multiplication, division, and composition. Perform transformations of functions translations, reflections and stretching, and shrinking. Represent functions verbally, numerically, graphically and algebraically, including linear, quadratic, polynomial, rational, root/radical/power, piecewise-defined, exponential, logarithmic, trigonometric, and inverse trigonometric functions. Represent sequences verbally, numerically, graphically and algebraically, including both the general term and recursively. Represent vectors graphically in both rectangular and polar coordinates and understand the conceptual and notational difference between a vector and a point in the plane. Solve a system of linear equations graphically and algebraically by substitution and elimination, and solve application problems that involve systems of linear equations. Solve a variety of equations, including polynomial, rational, exponential, and logarithmic, trigonometric and inverse trigonometric, including equations arising in application problems. Solve a variety of trigonometric and inverse trigonometric equations, including those requiring the use of the fundamental trigonometric identities, in degrees and radians for both special and non-special angles. Solve application problems that involve trigonometric equations. Solve application problems using vectors. Solve polynomial and rational inequalities graphically and algebraically. Solve right and oblique triangles in degrees and radians for both special and non-special angles, and solve application problems that involve right and oblique triangles. Understand the difference between an algebraic equation of one, two or more variables and a function, and the relationship among the solutions of an equation in one variable and features of the graph. Use functions, including those listed in the first outcome, to model a variety of real-world problem solving applications. Use the Remainder and Factor Theorems for polynomial functions. Verify trigonometric identities by algebraically manipulating trigonometric expressions using fundamental trigonometric identities, including the Pythagorean, sum and difference of angles, double-angle, and half-angle identities. Write series in summation notation, and represent sequences of partial sums verbally, numerically, and graphically.
	MATH 1321 - Elementary Applied Mathematics I Course provides a rigorous treatment of graphs, inverses, and algebraic operations of polynomial, rational, exponential and logarithmic functions, equations and inequalities and an introduction to linear systems, sequences and series. Intended, together with MATH 1322, to prepare students for MATH 2301 Calculus I. Students cannot keep credit for both MATH 1200 and MATH 1321 (first course taken deducted). No credit if the student has credit for MATH 2301, 2302, or higher than 2500. Requisites: C or better in MATH D005 or MATH 102 or MATH D004 or Math Placement Level 1 or higher WARNING: No credit for this course and MATH 1200 (first course taken deducted) No credit if the student has credit for MATH 2301, 2302, or higher than 2500. Credit Hours: 3 OHIO BRICKS Foundations: Quantitative Reasoning General Education Code (students who entered prior to Fall 2021-22): 1M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Course Transferability: OTM course: TMM002 Pre-Calculus College Credit Plus: Level 1 Learning Outcomes: Students will be able to analyze the algebraic structure and graph of functions to determine intercepts, domain, range, aymptotes, where the function has symmetry (even/odd), etc. Students will be able to analyze functions and their graphs to determine intervals on which the function is increasing, decreasing or constant, the vertex of a quadratic function. Students will be able to determine algebraically and graphically whether the graph of an equation exhibits symmetry. Students will be able to determine whether an algebraic relation or given graph define a function. Students will be able to find inverses of functions listed in the first outcome and understand the relationship of the graph of a function to that of its inverse. Students will use the Remainder and Factor Theorems for polynomial functions. Students will be able to identify and express the general term of arithmetic and geometric sequences, and find the sum of arithmetic and geometric series. Students will be able to perform transformations of functions including translations, reflections and stretching and shrinking. Perform operations with functions: addition, subtraction, multiplication, division and composition. Students will be able to represent functions verbally, numerically, graphically & algebraically, including polynomial, rational, root/radical/power, piecewise-defined, exponential, and logarithmic functions. Students will be able to apply knowledge of sequences/series to represent sequences verbally, numerically, graphically and algebraically, including both the general term and recursively. Students will be able to solve a system of linear equations graphically and algebraically by substitution and elimination, & solve application problems that involve systems of linear equations. Students will be able to solve polynomial and rational inequalities graphically and algebraically. Students will be able to solve a variety of equations, including polynomial, rational, exponential, and logarithmic, including equations arising in application problems. Students will be able to understand the average rate of change of the graph of a function or equation on an interval. Students will be able to understand the difference between an algebraic equation and a function, and the relationship among the solutions of an equation in one variable, the zeros of the corresponding function, and the coordinates of the x-intercept. Students will be able to use functions to model a variety of real-world problem solving applications. Students will be able to write series in summation notation, and represent sequences of partial sums verbally, numerically and graphically.
	MATH 1322 - Elementary Applied Mathematics II A rigorous course in trigonometry and analytic geometry including right angle trigonometry, trigonometric functions and their graphs, inverse trigonometric functions, trigonometric identities and equations and introductions to vectors, polar coordinates and conic sections. Intended to prepare students for MATH 2301 Calculus I. Students cannot earn credit for both MATH 1300 and MATH 1322 (first course taken deducted).. Requisites: C or better in (MATH 1200 or 1321) or Math placement level 2 or higher and WARNING: No credit for both this course and MATH 1300 (first course taken deducted) Credit Hours: 3 OHIO BRICKS Foundations: Quantitative Reasoning General Education Code (students who entered prior to Fall 2021-22): 1M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Course Transferability: OTM course: TMM002 Pre-Calculus, OTM course: TMM003 Trigonometry College Credit Plus: Level 1 Learning Outcomes: Analyze the algebraic structure and graph of trigonometric and inverse trigonometric functions to determine whether the function is one-one, exhibits any symmetry (even/odd), etc. Analyze the algebraic structure and graph of trigonometric and inverse trigonometric functions to determine intercepts, domain, range, intervals on which the function is increasing, decreasing or constant, asymptotes, Angles/Triangles. Express angles in both degree and radian measure. Convert points and equations between rectangular and polar form. Identify and express the conics (quadratic equations in two variables) in standard rectangular form, graph the conics, and solve applied problems involving conics. Perform basic vector operations both graphically and algebraically addition, subtraction, and scalar multiplication. Perform transformations of trigonometric and inverse trigonometric functions translations, reflections and stretching and shrinking (amplitude, period and phase shift). Represent trigonometric and inverse trigonometric functions verbally, numerically, graphically and algebraically; define the six trigonometric functions in terms of right triangles and the unit circle. Represent vectors graphically in both rectangular and polar coordinates and understand the conceptual and notational difference between a vector and a point in the plane. Solve a variety of trigonometric and inverse trigonometric equations, including those requiring the use of the fundamental trigonometric identities, in degrees and radians for both special and non-special angles. Solve application problems that involve trignometric equations. Solve application problems using vectors. Solve right and oblique triangles in degrees and radians for both special and non-special angles, and solve application problems that involve right and oblique triangles. Use trigonometric and inverse trigonometric functions to model a variety of real-world problem-solving applications. Verify trigonometric identities by algebraically manipulating trigonometric expressions using fundamental trigonometric identities, including the Pythagorean, sum and difference of angles, double-angle and half-angle identities.
	MATH 1350 - Survey of Calculus Presents a survey of basic concepts of calculus. For students who want an introduction to calculus, but do not need the depth of 2301 and 2301. Note: Students cannot earn credit for both MATH 1350 and 2301 (MATH 1350 always deducted). Requisites: MATH 1321 or (C or better in 1200) or math placement level 2 or higher and WARNING: No credit for this course and MATH 2301 (MATH 1350 always deducted) Credit Hours: 4 OHIO BRICKS Foundations: Quantitative Reasoning General Education Code (students who entered prior to Fall 2021-22): 2AS Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 4.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Course Transferability: OTM course: TMM013 Business Calculus College Credit Plus: Level 1 Learning Outcomes: Apply differential calculus to business applications. Apply integral calculus to business applications. Demonstrate the ability to determine indefnite integrals, use the Fundamental Theorem of Calculus, and integrate by substitution and by parts. Determine derivatives of Exponential and Logarithmic Functions. Determine derivatives using the power rule, sum & difference rules, product rule, quotient rule, and chain rule. Determine higher order derivatives of a function. Understand velocity as the derivative of position and acceleration as the 2nd derivative of position. Determine the absolute extrema of a continuous function on a closed interval. Determine the continuity of functions at a point or on intervals. Determine the limits of functions graphically, numerically, and analytically. Recognize and determine infinite limits and limits at infinity. Understand the business terminology of demand, cost, price, revenue, and profit. Use linear, polynomial, rational, algebraic, exponentail, and logarithmic functions in business applications. Understand the business terminology of marginal quantities, including marginal cost, marginal revenue, and marginal profit. Understand the interpretation of the derivative as the slope of a line tangent to a graph and as the rate of change of a dependent variable with respect to an independent variable and determine the derivative of a function using the limit definition. Use and solve differential equations to model growth and decay. Use defnite integrals in applications such as determining the area of an enclosed region and fnding the average value of a function. Use differentials in approximation problems. Use the first and second derivatives to analyze and sketch the graph of a function, including determining intervals on which the graph is increasing, decreasing, constant, concave up, concave down, and finding relative extrema and inflection points.
	MATH 1500 - Introductory Statistics An introductory course on conceptual understanding of statistical methods and techniques, including descriptive statistics, correlation and regression, elementary probability, estimation, confidence intervals, hypothesis testing, and the use of software. The course emphasizes the reasoning skills necessary for understanding and critically evaluating statistical information. No credit if taken after MATH 2500 or PSY 2110 or QBA 2010 or ISE 3040 or ISE 3200 or COMS 3520 or Econ 3810 or GEOG 2710. Students cannot earn credit for MATH 1500 and PSY 1110 (first course taken deducted). Requisites: MATH placement level 1 or MATH D004 or MATH D005 and no credit if taken after COMS 3520, ECON 3810, GEOG 2710, ISE 3040 or 3200, MATH 2500, PSY 1110 or 2110, or QBA 2010 Credit Hours: 3 OHIO BRICKS Foundations: Quantitative Reasoning General Education Code (students who entered prior to Fall 2021-22): 1M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Course Transferability: OTM course: TMM010 Introductory Statistics College Credit Plus: Level 1 Learning Outcomes: Students will be able to summarize univariate and bivariate data, quantitative and qualitative data by employing appropriate graphical, tabular, and numerical methods and interpret the information from these graphs. Students will be able to describe the attributes of the data or the relationships between the data and distinguish between quantitative and qualitative datasets, univariate and bivariate datasets. Students will be able to identify the characteristics of a well-defined study and critically evaluate various aspects of the study, recognize the limitations of the study and also recognize common sources of bias in surveys. Students will be able to compute and interpret various measures of central tendency (mean, median, partition values, etc.) and variation (standard deviation, variance, etc.). Students will be able to compute and interpret correlation coefficient and regression lines from a given bivariate dataset. Students will be able to model random phenomenon and assign probabilities, compute probabilities, and conditional probabilities. Students will be able to obtain and describe probability distributions, compute expected gain/loss, and make inferences based on these computations. Students will be able to compute probabilities using normal distributions. Students will be able to identify the statistic and the parameter in a research problem, explain the difference between them, and describe the sampling distribution. Students will be able to construct confidence intervals for mean and proportion, compute and interpret margin of error, compute sample size for a given margin of error, and determine the effect of changing the sample size or confidence level. Students will be able to formulate null and alternative hypotheses in the case of research problems involving mean and proportions, test the significance of null and alternative hypotheses using critical and p-values and interpret the results. Students will be able to use appropriate technology such as spreadsheets or statistical software to perform statistical computations. Students will be able to interpret statistical results and information in news stories and journal articles and apply the concepts learned in the course to their discipline of study or a related area.
	MATH 1500L - Introductory Statistics Essentials The course will be used as a co-requisite for MATH1500 (Introductory Statistics) for students with developmental placement. Topics may include but are not limited to: rounding, operations with fractions, evaluating formulas, plotting points and lines, understanding sigma notation, using and interpreting diagrams and set operations as well as additional examples, experiments and use of technology to supplement learning from the MATH 1500 class. Students will use courseware and/or in-house developed material/ assignments under the supervision of a mentor/instructor to obtain just-in-time support/review for the concepts covered in Introductory Statistics. Requisites: MATH 1500 or concurrent Credit Hours: 1 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: laboratory Grades: Eligible Grades: F,CR,WP,WF,WN,FN,AU,I
	MATH 2110 - Introductory Geometry for Middle School Teachers This course prepares prospective teachers to teach mathematics to children in grades 4-9 and is appropriate for middle childhood education and other education majors. It focuses on the geometry and measurement topics covered in the Common Core State Standards for grades 4-9. The course also addresses how some of these topics develop in secondary grades to give prospective teachers a sense of the mathematics they will be preparing students to learn later. The course is taught through an inquiry approach that focuses on problem solving and discussion and is designed to encourage exploration and explanation of mathematical ideas. This course will cover visualization, angles, geometric shapes and three-dimensional figures and their properties, some constructions with straightedge and compass and with technology, transformational geometry, symmetry, congruence, similarity, measurement (especially length, area, and volume), converting measurements, principles underlying calculations of areas and volumes, why various area and volume formulas are valid, the behavior of area and volume under scaling, uses of right angle trigonometry and various technologies to aid in teaching geometry. Students will be expected to develop and prove or disprove conjectures about geometric figures. Construction of proofs will involve exploration, discovery, conjecture, and certification of reasoning. Topics will be addressed to develop a deep conceptual understanding of geometry and measurement needed for teaching this content to grades 4-9 students. Students will experience and grapple with how geometry can describe and interpret problems from various circumstances in the real world. Requisites: (MATH 1300 or 1322 or 1350 or 2301 or Math placement level 3) and any education major. Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to communicate their own and others¿ mathematical ideas clearly and precisely, both orally and in writing, and support those ideas logically with clear mathematical reasoning. Students will be able to solve routine and non-routine problems using clear mathematical reasoning and mathematical modeling. Students will be able to calculate and approximate measurements, including areas and volumes, and attend to precision of units. Students will be able to distinguish among the ways in which unknown measurements can be determined and analyzed through the use of mathematical relationships coupled with known attributes described by quantitative measures for two and three dimensions. Students will be able to derive and explain the rationale behind formulas for perimeter, area, surface area, and volume of these two and three-dimensional figures: square, rectangle, triangle, parallelogram, circle, regular polygon, trapezoid, prism, pyra Students will be able to describe the relationship between the circumference and diameter of a circle through hands-on investigation. Students will be able to construct and analyze geometry figures using tools (including dynamic geometry software). Students will be able to solve problems about angle relationships. Students will be able to describe geometric concepts of angle, parallel, and perpendicular, congruence, similarity and use them in describing and defining shapes and in solving problems. Students will be able to identify, classify, visualize and represents two- and three-dimensional objects (e.g, triangles, quadrilaterals, regular polygons, prisms, pyramids, cones, cylinders, and spheres) Students will be able to build, decompose, rearrange, compose, transform and examine cross-sections of 2D and 3D geometric objects (e.g., decompose a parallelogram into 2 triangles) and explain and justify properties of geometric objects. Students will be able to derive and explain formulas for distance, midpoint, and slope and use that information to classify figures and solve problems in the coordinate plane. Students will be able to transform geometric figures using dilations, translations, rotations, reflections, glide reflections and compositions of transformations. Students will be able to describe attributes of the figures that are preserved under different types of transformations. Students will be able to describe geometric transformations in terms of functions. Students will be able to construct and analyze tessellations in the plane Students will be able to describe symmetries of a figure as compositions of transformations and state when those symmetries will map a figure onto itself. Students will be able to prove geometric theorems using transformations, coordinates, algebra and deductive reasoning as appropriate. Students will be able to explain why the Pythagorean Theorem is valid in multiple ways, under what conditions it is valid and use the Pythagorean Theorem to solve problems. Students will be able to prove and explain theorems about angles, lines, triangles, quadrilaterals, and circles. Students will be to identify and use proportional relationships and scale factors to solve problems making comparisons between a known and similar object. Students will be able to use scale drawings of two-dimensional, real-world and mathematical problems to analyze figures and situations as well as to investigate the relationships between similar figures. Students will be able to identify and prove or disprove if figures are congruent or similar. Students will be able to use right triangle trigonometry to solve problems in a real-world context. Students will be able to describe the importance of similarity to the development of trigonometric ratios.
	MATH 2120X - Number and Algebra for Middle School Teachers This course develops topics usually taught in grades 4-9 to a depth required for future middle grades mathematics teachers. The course is taught through an inquiry approach that focuses on problem solving and discussion. Key topics include 1) explaining properties of the natural numbers (parity, primes, factorization, divisibility, converting to other bases, modular arithmetic); 2 )explaining and justifying standard and alternative algorithms for basic arithmetic operations on whole and rational numbers learned in grades 4-9; 3) understanding different meanings of and uses for rational numbers (fractions, ratios, and proportions); and 4) explaining and using ideas of algebra (with an emphasis on graphing, solving, and modeling with linear, quadratic, and exponential functions). Requisites: (MATH 1300 or 1322 or 1350 or 2301 or Math placement level 3) and middle childhood education major Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
	MATH 2301 - Calculus I First course in calculus and analytic geometry with applications in the sciences and engineering. Includes basic techniques of differentiation and integration with applications including rates of change, optimization problems, and curve sketching; includes exponential, logarithmic and trigonometric functions. Calculus is the mathematical language used to describe and analyze change. The course emphasizes how this abstract language and its associated techniques provide a unified way of approaching problems originating in disparate areas of science, technology, and society, highlighting how questions arising in different fields are connected to the same fundamental mathematical ideas. No credit for both MATH 2301 and 1350 (always keep 2301). Requisites: (B or better in MATH 1350) or (C or better in 1300 or 1322) or (Math placement level 3) Credit Hours: 4 OHIO BRICKS Arch: Constructed World General Education Code (students who entered prior to Fall 2021-22): 2AS Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture, 1.0 recitation Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I College Credit Plus: Level 1 Learning Outcomes: Students will be able to use the tools of differential and integral calculus in a variety of applications. Students will be able to explain information presented in mathematical forms (e.g., equations, graphs, diagrams, tables, words). Students will be able to convert relevant information into various mathematical forms (e.g., equations, graphs, diagrams, tables, words). Students will be able to calculate relevant information using various mathematical formulas. Students will be able to make judgments and draw appropriate conclusions based on the quantitative analysis of data while recognizing the limits of this analysis. Students will be able to make and evaluate important assumptions in estimation, modeling, and data analysis. Students will be able to express quantitative evidence in support of the argument or purpose of the work (in terms of what evidence is used and how it is formatted, presented, and contextualized). Students will be able to critically state, describe, and consider an issue or problem. Students will be able to use information from source(s) with enough interpretation/evaluation to develop a comprehensive analysis or synthesis. Students will be able to systematically and methodically analyze assumptions and carefully evaluate the relevance of contexts when presenting a position. Students will be able to state a specific position (i.e., perspective, thesis, or hypothesis) that is thoughtful, recognizes complexities, and acknowledges limitations. Students will be able to state conclusions and related outcomes (consequences and implications) logically and in a priority order.
	MATH 2301A - Honors Experience: Calculus I OHIO Honors curricular experience in Calculus I Requisites: MATH 2301 concurrently and Ohio Honors student Credit Hours: 0 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: independent study Grades: Eligible Grades: F,CR,NC,WP,WF,WN,FN,AU,I
	MATH 2302 - Calculus II Second course in calculus and analytic geometry with applications in the sciences and engineering. Includes techniques of integration, conic sections, polar coordinates, infinite series, vectors and vector operations. Requisites: C or better in MATH 2301 or 263B Credit Hours: 4 OHIO BRICKS Foundations: Quantitative Reasoning General Education Code (students who entered prior to Fall 2021-22): 2AS Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture, 1.0 recitation Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Course Transferability: OTM course: TMM006 Calculus II, OTM course: TMM017 Calculus I & II Sequence College Credit Plus: Level 1 Learning Outcomes: Students can use the tools of differential and integral calculus in a variety of applications.
	MATH 2302A - Honors Experience: Calculus II Ohio Honors curricular experience in Calculus II Requisites: MATH 2302 concurrently and Ohio Honors student Credit Hours: 0 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: independent study Grades: Eligible Grades: F,CR,NC,WP,WF,WN,FN,AU,I
	MATH 2500 - Statistics and Probability A course in statistics and probability with focus on techniques and use of statistical software for organization of univariate and bivariate data, central tendency and dispersion, correlation, designed experiments, probability, random variables, binomial and normal distributions, sampling distributions, inferences from small and large samples, estimation, confidence intervals and hypothesis testing. The course introduces the language and mathematics underlying statistical reasoning. It emphasizes how the same mathematical ideas can be deployed in different areas of inquiry, and how one can combine these techniques with suitable technology to quantify the uncertainty present whenever one makes predictions based on empirical data, regardless of the field of study. Requisites: (MATH 1060 or 1200 or 1250 or 1260 or 1321 or 1500) or Math placement 2 or higher and WARNING: Not COMS 3520 or ECON 3810 or GEOG 2710 or ISE 3040 or ISE 3200 or or ET 2450 or PSY 2110 or QBA 2010 Credit Hours: 4 OHIO BRICKS Arch: Constructed World General Education Code (students who entered prior to Fall 2021-22): 1M Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 4.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I College Credit Plus: Level 1 Learning Outcomes: Students will be able to select and produce appropriate graphical, tabular, and numerical methods to summarize qualitative and quantitative data, univariate and bivariate data, and interpret and summarize the information into verbal descriptions. Students will be able to identify the characteristics of a well-defined study and critically evaluate various aspects of the study, recognize the limitations of the study and also recognize common sources of bias in surveys. Students will be able to compute and interpret various measures of central tendency (mean, median, partition values, etc.) and dispersion (standard deviation, variance, etc.). Students will be able to investigate and describe the relationships or associations between two variables using caution in interpreting correlation and association, compute and interpret correlation coefficient and regression lines. Students will be able to construct and model a random phenomenon using outcomes, events, and the assignment of probabilities, use addition and multiplication probability rules, and also compute conditional probabilities. Students will be able to obtain and describe probability distributions, differentiate between discrete and continuous distributions, compute expected gain/loss, and make inferences based on these computations. Students will be able to compute probabilities using theoretical probability distributions (binomial, normal, etc.) and interpret z-scores. Students will be able to obtain and describe sampling distributions of mean, proportion, difference of means, difference of proportions, etc. and use the Central Limit Theorem. Students will be able to estimate parameters, construct confidence intervals, compute and interpret margin of error, compute sample size for a given margin of error, and determine the effect of changing the sample size or confidence level. Students will be able to formulate null and alternative hypotheses for a given research problem and describe the logic and framework of the inference of hypothesis testing. Students will be able to perform a hypothesis test for a mean, proportion, difference of means, difference of proportions, etc. for large and small samples using p-value and critical (z and t) values and interpret statistical and practical significance. Students will be able to perform chi-square test for hypotheses testing, analyze the results, and interpret these results. Students will be able to use appropriate technology to carry out descriptive and inferential analysis of data and to perform statistical computations. Students will be able to make judgments and draw appropriate conclusions based on the quantitative analysis of data while recognizing the limits of this analysis. Students will be able to make and evaluate important assumptions in estimation, modeling, and data analysis. Students will be able to express quantitative evidence in support of the argument or purpose of the work (in terms of what evidence is used and how it is formatted, presented, and contextualized). Students will be able to critically state, describe, and consider an issue or problem. Students will be able to use information from source(s) with enough interpretation/evaluation to develop a comprehensive analysis or synthesis. Students will be able to systematically and methodically analyze assumptions and carefully evaluate the relevance of contexts when presenting a position. Students will be able to state a specific position (i.e., perspective, thesis, or hypothesis) that is thoughtful, recognizes complexities, and acknowledges limitations. Students will be able to state conclusions and related outcomes (consequences and implications) logically and in a priority order.
	MATH 2500A - Honors Experience in Introduction to Statistics OHIO Honors curricular experience in Introduction to Statistics Requisites: Ohio Honors student and MATH 2500 concurrently Credit Hours: 0 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: independent study Grades: Eligible Grades: F,CR,NC,WP,WF,WN,FN,AU,I
	MATH 2530 - Introductory Data Science Students learn the basics of data acquisition, organization, and analysis; acquire hands-on experience with statistical estimation and inference, data modelling, and visualization; and explore machine learning applications, data privacy, and ethics. Requisites: (Math placement level 2 or higher) or MATH 1200 or 1500 or PSY 1110 Credit Hours: 4 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture, 1.5 recitation Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to distinguish between types and sources of data. Students will be able to acquire raw data from a variety of sources. Students will be able to ensure the clarity, completeness, and stability of the data through the organization of that data. Students will be able to identify incorrect, incomplete, inaccurate, irrelevant, or missing data and then modify, replace, or delete that information as needed. Students will be able to classify and summarize data using traditional plots. Students will be able to select appropriate charting techniques based on the type of data and the number of variables they intend to present. Students will be able to compare traditional and dynamic graphing techniques and give reasons for and justify why a dynamic plot may be the appropriate choice (or is the appropriate choice for a specific data set). Students will be able to identify common distribution models and discern what types of data fit certain models. Students will be able to develop an analytic model and trendline for a time series, and then predict the last n-tile of data in order to evaluate the effectiveness of their model. Students will be able to locate data visualizations and deconstruct the graph in order to evaluate the effectiveness of the visualization. Students will be able to write and implement generative models for situations ranging from simple one-sample problems to more complex settings Students will be able to estimate the parameters of a model, use simulation methods to evaluate different estimators, and describe their bias and variance. Students will be able to use simulation methods to understand the implications of statistical models. Students will be able to define machine learning and statistical learning, as well as differentiate between supervised and unsupervised learning. Students will be able to classify data using supervised machine learning techniques, search for and define a function that describes how different measured variables are related to one another and utilize predictive techniques such as linear regression. Students will be able to use algorithms to draw inferences from datasets consisting of input data without labeled responses. Students will be able to consider the local legislation, and identify the relevant laws, rules, and regulations pertaining to protection of personal data. Students will be able to discern bias from fairness in finance, medicine, and society in order to prevent incorrect or distorted conclusions. Students will be able to identify clarity in methods of analysis of data and demonstrate how conclusions can be misleading. Students will be able to cite sampling bias in its various forms.
	MATH 2530X - Foundations of Data Science Foundations of data science from three perspectives: inferential thinking, computational thinking, and real-world relevance. Given data arising from some real-world phenomenon, how does one analyze that data so as to understand that phenomenon? The course teaches critical concepts and skills in computer programming and statistical inference, in conjunction with hands-on analysis of real-world datasets, including economic data, document collections, geographical data, and social networks. It delves into social and legal issues surrounding data analysis, including issues of privacy and data ownership. Requisites: (MATH 1060, 1090, 1101, 1200, 1250, 1260, 1322, or 1500) or (Math placement 2 or higher) Credit Hours: 4 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: lecture, laboratory Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
	MATH 2900 - Special Topics in Mathematics Specific course content will vary with offering. Credit Hours: 1 - 15 Repeat/Retake Information: May be repeated. Lecture/Lab Hours: 1.0 lecture Grades: Eligible Grades: A-F,CR,WP,WF,WN,FN,AU,I Learning Outcomes: Students will increase their knowledge in Mathematics.
	MATH 2970T - Mathematics Tutorial Special course for students in the HTC math program, taken during the Fall Semester by first year students. Requisites: HTC Credit Hours: 1 - 15 Repeat/Retake Information: May be repeated for a maximum of 15.0 hours. Lecture/Lab Hours: 1.0 tutorial Grades: Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I Learning Outcomes: HTC students should be able to work effectively with difficult, multi-dimensional subjects be they inside or outside a student’s primary area of study.
	MATH 2971T - Mathematics Tutorial Special course for students enrolled in the HTC, taken in the Fall Semester by 2nd year students. Requisites: HTC Credit Hours: 1 - 15 Repeat/Retake Information: May be repeated for a maximum of 15.0 hours. Lecture/Lab Hours: 1.0 tutorial Grades: Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I Learning Outcomes: HTC students should be able to work effectively with difficult, multi-dimensional subjects be they inside or outside a student’s primary area of study.
	MATH 2980T - Mathematics Tutorial Special program for students enrolled in HTC, taken in the Spring Semester of the first year. Requisites: HTC Credit Hours: 1 - 15 Repeat/Retake Information: May be repeated for a maximum of 15.0 hours. Lecture/Lab Hours: 1.0 tutorial Grades: Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I Learning Outcomes: HTC students should be able to work effectively with difficult, multi-dimensional subjects be they inside or outside a student’s primary area of study.
	MATH 2981T - Mathematics Tutorial Special program for students enrolled in HTC, taken in the Spring semester by 2nd year students. Requisites: HTC Credit Hours: 1 - 15 Repeat/Retake Information: May be repeated for a maximum of 15.0 hours. Lecture/Lab Hours: 1.0 tutorial Grades: Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I Learning Outcomes: HTC students should be able to work effectively with difficult, multi-dimensional subjects be they inside or outside a student’s primary area of study.
	MATH 3000 - History of Mathematics Main lines of mathematical development in terms of contributions made by great mathematicians: Euclid, Archimedes, Descartes, Newton, Gauss, etc. Requisites: MATH 2301 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students should develop an understanding of instructional strategies that enhance student learning. Students will be able to apply historical methods to mathematical histories and to critically analyze mathematical histories. Students will demonstrate working knowledge of key moments and figures in mathematics history. Students will see the development of mathematics beyond western mathematics and will understand the nature of mathematics as process and discipline. Students will understand the role of histories of mathematics in their chosen field.
	MATH 3050 - Discrete Mathematics Course in discrete mathematical structures and their applications with an introduction to methods of proofs. The main topics are introductions to logic and elementary set theory, basic number theory, induction and recursion, counting techniques, graph theory and algorithms. Applications may include discrete and network optimization, discrete probability and algorithmic efficiency. No credit for both this course and CS 3000 (first taken deducted). Requisites: C or better in MATH 2301 or MATH 263B and WARNING: No credit for both this course and CS 3000 (first course taken deducted) Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Able to apply induction for proving properties of discrete structures. Able to count or enumerate objects, perform combinatorial analysis to solve counting problems. Able to use discrete structures in application areas like computer science, optimization, probability. Able to use set notation and logical statements correctly in the above contexts. Able to use standard proof methods in the context of simple problems in elementary number theory. Understands the mathematics of graphs and trees, and how to use graphs as models in a variety of areas.
	MATH 3060 - Introduction to Mathematical Reasoning, Problem Solving, and Proof An introduction to mathematical reasoning, problem solving, and proof. The main topics are proof and problem solving techniques, induction, logic, and set theory. Applications to the following topics may be included: number theory, counting, relations, functions, and cardinality. Requisites: MATH 2302 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to analyze hypotheses, constraints, connections, and conclusions in mathematical statements. Students will be able to formulate and test conjectures and generalizations. Students will be able to write, speak, analyze, and critique arguments and proofs. Students will be able to construct proofs using logic, definitions, and theorems and write them systematically. Students will be able to construct valid arguments, proofs, refutations, counterexamples, definitions, theorems, axioms, examples, and nonexamples. Students will be able to identify examples, nonexamples, invalid and valid arguments and proofs. Students will be able to analyze the role, value, necessity, and nature of proof.
	MATH 3060X - Introduction to Mathematical Reasoning, Problem Solving, and Proof Techniques of problem solving, reasoning, and proof using concepts including logic, set theory, relations, functions, and counting. This course serves as a foundation for advanced study of mathematics and proof-based courses in particular. Requisites: C or better in MATH 2302 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
	MATH 3070 - Introduction to Number Theory Investigation of properties of the natural numbers. Topics include mathematical induction, factorization, Euclidean algorithm, Diophantine equations, congruences, divisibility, multiplicative functions, and applications to cryptography. Requisites: CS 3000 or MATH 3050 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students can construct proofs of fundamental results in number theory. Students understand how number theory is important in modern applications.
	MATH 3110 - College Geometry An axiomatic approach to Euclidean geometry. A core batch of theorems of Euclidean geometry are proven, and interesting geometric problems are solved using the axioms and theorems. Additional concepts and techniques – such as similarity, transformations, coordinate systems, vectors, matrix representations of transformations, complex numbers, and symmetry – are introduced as ways of simplifying the proofs of theorems or the solutions of geometric problems. Hyperbolic geometry is introduced from an axiomatic standpoint, primarily to illustrate the independence of the Parallel Postulate. Computers are used to produce dynamic drawings to illustrate theorems and problems. Requisites: (CS 3000 or MATH 3050) and (3200 or 3210) Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Demonstrate the dependence of some of the axioms commonly included in axiom sets for high school math books. Demonstrate the independence of the Parallel Postulate using examples from Euclidean and Hyperbolic Geometry. Incorporate methods of similarity, transformations, coordinates, vectors, matrices, complex numbers, and symmetry to simplify proofs or solve geometric problems. Prove a core batch of the standard theorems of Neutral, Euclidean, and Hyperbolic Geometry using deductive, axiom-based proofs. Solve geometric problems using the axioms and theorems of Euclidean Geometry. Use computer programs to produce dynamic drawings to illustrate geometric theorems and problems.
	MATH 3200 - Applied Linear Algebra A course on linear algebra with an emphasis on applications and computations. Solutions to linear systems, matrices and matrix algebra, determinants, n-dimensional real vector spaces and subspaces, bases and dimension, eigenvalues and eigenvectors, diagonalization, norms, inner product spaces, orthogonality and least squares problems. No credit for both this course and MATH 3210 (first taken deducted). Requisites: C or better in (MATH 163A or 263A or 1350 or 2301 or 2302) and WARNING No credit for both this course and the following (always deduct credit for first course taken): MATH 3210 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students can competently carry out computations involving solutions of linear systems of equations and eigenvalues. Students can effectively manipulate matrix equations. Students understand and can use the geometry of linear systems and matrices.
	MATH 3200A - Honors Experience in Applied Linear Algebra OHIO Honors curricular experience in Applied Linear Algebra Requisites: Ohio Honors students and MATH 3200 concurrently Credit Hours: 0 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: independent study Grades: Eligible Grades: F,CR,NC,WP,WF,WN,FN,AU,I
	MATH 3210 - Linear Algebra A course in linear algebra for students majoring or minoring in the mathematical sciences. The course will introduce both the practical and theoretical aspects of linear algebra and students will be expected to complete both computational and proof-oriented exercises. Topic covered will include: Solutions to linear systems, matrices and matrix algebra, determinants, n-dimensional real vector spaces and subspaces, bases and dimension, linear mappings, matrices of linear mappings, eigenvalues and eigenvectors, diagonalization, inner product spaces, orthogonality and applications. No credit for both this course and MATH 3200 (first course taken deducted). Requisites: MATH 2302 and (3050 or CS 3000) and WARNING: No credit for both this course and MATH 3200 (first course taken deducted) Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Course Transferability: TAG course: OMT019 Elementary Linear Algebra College Credit Plus: Level 1 Learning Outcomes: Students can competently carry out computations involving solutions of linear systems of equations and eigenvalues. Students can effectively manipulate matrix equations. Students can prove basic results of linear algebra. Students understand and can use the geometry of linear systems and matrices.
	MATH 3240 - Abstract Algebra An elementary introduction to algebraic structures. Mappings, relations, definitions, and examples of groups, groups of rotations, cyclic groups, Lagrange’s Theorem, fields, polynomials over fields. Requisites: MATH 3070 and (3200 or 3210) Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students can prove elementary results about algebraic structures. Students will develop awareness and appreciation of the axiomatic method as well as familiarity with basic algebraic structures.
	MATH 3300 - Calculus III Third course in calculus and analytic geometry with applications in the sciences and engineering. Includes partial differentiation, multiple integrals, line and surface integrals, and the integral theorems of vector calculus. Requisites: C or better in MATH 2302 Credit Hours: 4 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture, 1.0 recitation Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Course Transferability: TAG course: OMT018 Calculus III College Credit Plus: Level 1 Learning Outcomes: Students can use the tools of differential and integral calculus in higher dimensions.
	MATH 3320 - Vector Analysis Vector algebra and its applications. Vector calculus and space curves. Scalar and vector fields, gradient, divergence, curl, and Laplacian. Line and surface integrals. Divergence theorem, Stoke’s theorem, and Green’s theorem. Requisites: MATH 3300 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will understand and be able to compute differential and integral quantities involving vectors.
	MATH 3400 - Elementary Differential Equations Introduction to ordinary differential equations and their use as models for applications with an emphasis on exact solution methods for linear equations and systems including Laplace transform methods. Requisites: C or better in MATH 2302 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Course Transferability: TAG course: OMT020 Elementary Differential Equations College Credit Plus: Level 1 Learning Outcomes: Students can find analytic solutions of a variety of linear differential equations. Students understand the meaning of differential equations as models and the meaning of a solution.
	MATH 3400A - Honors Experience: Elementary Differential Equations OHIO Honors curricular experience in Elementary Differential Equations Requisites: MATH 3400 and Ohio Honors Credit Hours: 0 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: independent study Grades: Eligible Grades: F,CR,NC,WP,WF,WN,FN,AU,I
	MATH 3500 - Probability A mathematical introduction to univariate probability theory with some applications, particularly to statistics. Topics will include the basic rules of probability, conditional probability, independent events, the Law of total probability, Bayes’ Theorem, univariate random variables, discrete and continuous distributions and the density function, expectation, variance, higher moments, and special discrete and continuous distributions such as Bernoulli, binomial, Poisson, uniform, exponential, gamma and normal. No credit for both this course and ISE 3210 (first course taken deducted). Requisites: MATH 2302 and (MATH 3050 or CS 3000) and (MATH 2500 or COMS 3520 or GEOG 2710 or GEOL 3050 or ECON 3810 or ISE 3040 or ISE 3200 or PSY 2110 or QBA 2010) and WARNING: No credit for both this course and ISE 3210 (first course taken deducted) Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Calculate probabilities using various methods. Conduct simple mathematical proofs in a rigorous manner. Derive important characteristics (mean, variance, MGF) for frequently used distributions. Find confidence intervals and conduct simple hypotheses tests for univariate case.
	MATH 3505X - Applied Linear Models The course prepares students to apply several statistical modeling tools in order to draw conclusions on scientific experiments and observational studies. Topics include comparing two population means or proportions, matched pairs comparisons, simple and multivariate linear regression, predictions and simultaneous predictive confidence intervals, categorical data analysis, contingency tables and logistic regression (optional), analysis of variance and simultaneous confidence intervals, distribution-free methods, the rank-sum test, the sign test and the signed-rank test.These topics Are implemented using standard statistical software. Requisites: ECON 3810, EE 3713, GEOG 2710, GEOL 3050, ISE 3040 or 3200, MATH 2500, PBIO 3150, PSY 2110, QBA 2010 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
	MATH 3560 - Theory of Interest Introduction to the mathematical theory of interest, including material from examinations by the Society of Actuaries and the Casualty Actuarial Society. Financial transactions involving interest, such as measurement of interest, force of interest and annuities-certain. Requisites: C or better in MATH 2302 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to perform calculations relating to present value, current value and accumulated value. Students will be able to calculate present value, current value and accumulated value for sequences of non-contingent payments. Students will be able to perform calculations connected with bonds. Students will be able to perform calculations relating to loans. Students will be able to perform calculations associated with yield curves, rates of return, measures of duration and convexity. Students will be able to perform calculations related to cash flow matching and immunization. Students will be able to perform calculations associated with interest rate swaps.
	MATH 3560X - Theory of Interest Introduction to the mathematical theory of interest, including material from examinations by the Society of Actuaries and the Casualty Actuarial Society. Financial transactions involving interest: measurement of interest, force of interest, annuities-certain, introduction to financial derivative. Requisites: C or better in MATH 2302 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I
	MATH 3600 - Applied Numerical Methods A survey of numerical methods for engineering, science and mathematics students. Topics include: solutions of systems of linear and nonlinear equations, eigenvalues, numerical differentiation and integration, and numerical solution of ordinary and partial differential equations. The topics will be posed in a setting of problems intended for engineering students using MATLAB. The course will simultaneously introduce numerical methods, programming techniques, problem solving skills and the Matlab language, in a lecture-lab format. Requisites: MATH 3400 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Define and understand the practical consequenses of issues such as convergence, stability, computational cost, and error propagation as they apply to various numerical problems. The ability to use MATLAB as a programming tool to solve common engineering and scientific problems. Understand and know how to apply commonly used numerical methods for solving equations and linear systems, integration and differential equations.
	MATH 3680 - Quantitative Foundations for Bioinformatics Bioinformatics is the science of extracting biologically relevant information from large sets of biomolecular data. The course will introduce students to the mathematical models, statistical techniques, and algorithms on which this process is based. Requisites: BIOS 1700 or EE 3713 or MATH 2500 or PBIO 3150 or (PBIO 1140 and PSY 2110) Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Ability to interpret the meaning of the output of these software tools in biological terms. Ability to recognize typical sources of uncertainty or outright invalid answers that occur in using these software tools. Ability to recognize which types of bioinformatics software will give solutions to the mathematical problems that correspond to given biological ones. Ability to translate certain types of biological data into mathematical ones. Ability to understand how parameter choices will affect the output. Familiarity with the most basic algorithms that are used by these software tools.
	MATH 3970T - Mathematics Tutorial Special program for students enrolled in HTC, taken in the Fall Semester by 3rd year students. Requisites: HTC Credit Hours: 1 - 15 Repeat/Retake Information: May be repeated for a maximum of 15.0 hours. Lecture/Lab Hours: 1.0 tutorial Grades: Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I Learning Outcomes: HTC students should be able to work effectively with difficult, multi-dimensional subjects be they inside or outside a student’s primary area of study.
	MATH 3980T - Mathematics Tutorial Special program for students enrolled in HTC, taken in the Spring Semester of the 3rd year. Requisites: HTC Credit Hours: 1 - 15 Repeat/Retake Information: May be repeated for a maximum of 15.0 hours. Lecture/Lab Hours: 1.0 tutorial Grades: Eligible Grades: A-F,CR,PR,WP,WF,WN,FN,AU,I Learning Outcomes: HTC students should be able to work effectively with difficult, multi-dimensional subjects be they inside or outside a student’s primary area of study.
	MATH 4100 - Teaching of Mathematics in Secondary School Selected topics related to teaching of mathematics in grades 7-12 Requisites: MATH 3110 and (4100L concurrent) Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: 1. Describe the significance, content, philosophy, and impact on reform of national and state standards (including achievement testing, the High School Graduation Test, and implications of CORE). 2. Describe credible theories of learning mathematics including constructivism and its variants. 3. Explain how research in mathematics education is conducted, reported, and applied to teaching and learning practices. 4. illustrate how to use technology (including graphing calculators, software, video, and the Internet while also identifying benefits and obstacles of technology to maximizing student learning (PPP1). 5. Give examples of questioning strategies for the classroom that promote mathematical thinking and dialogue (discourse). 6. Use multiple strategies to support mathematics instruction including differentiation to meet the needs of all learners. 7. Recognize the essential parts of a lesson plan and prepare a lesson plan that includes outcomes, materials, structured sequence of experiences for students, a logical closure, a planned extension, and a plan for assessment. 8. Describe a variety of strategies that teachers can use to promote positive classroom management and the role that effective lesson planning has on classroom environment. 9. Use a variety of assessment strategies to collect data, including electronic means, regarding student academic progress and dispositional development, and to communicate assessment items to student as productive feedback. 10. Participate in programs for professional growth in mathematics education including NCTM, OCTM, OUCTM, journals, ORC, and understand the need for continuous professional improvement. 11. Describe (and demonstrate in lesson planning) how to make the five mathematical processes -such as problem solving, reasoning and proof, communication, connections, and representation - the focus of an AYA mathematics program. 12. Criteria for assessing the appropriateness of various technologies will be a focus of this objective (PPP2). 13. Identify, select, and use hardware and software technology resources to meet specific teaching and learning objectives (PPP4). 14. Write instructional objectives at the knowledge/skill, conceptual, and application levels. 15. Recognize the use of technology-enriched learning activities in the classroom and write lesson plans that make use of technology to address diverse student needs, as appropriate and available (PPP7, 17, 22). 16. Recognize that each student has individual needs and illustrate how a variety of teaching approaches, including the use of manipulatives and the use of technology, can be used to appeal to the learning style of each student (PPP1, 3, 6). 17. Exhibit facility with resources to gather field-tested ideas for use in one’s own classroom, including electronic resources (PPP10). 18. Grow in his/her appreciation of the role of mathematics in the AYA curriculum. 19. Continue to develop a positive disposition toward the field of mathematics. 20. Understand the role of community, place, and parents in mathematics education. Throughout the course, lectures, readings, written assignments, collaborative engagements, and popular cultural resources will help students achieve these outcomes. In particular, students will..
	MATH 4100L - Teaching of Mathematics in Secondary School Early Field Experience Early field experience for students in teaching mathematics in secondary schools. Requisites: MATH 4100 concurrent Credit Hours: 1 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 2.0 laboratory Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Same as MATH 4100 Teaching Mathematics in Secondary Schools.
	MATH 4150 - Advanced Perspectives for Math Teachers Key math content topics such as algebra, calculus, discrete mathematics, and mathematical modeling, studied throughout the AYA Math Content courses are revisited in light of their applicability to High School mathematics. Students will synthesize previous content knowledge and bring a depth of understanding of mathematics to topics and themes they will likely teach in a grades 8-12 setting. This course is intended as a final mathematics content course for AYA Mathematics majors. Requisites: MATH 3110 and 3300 and (3240 or concurrent) Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: After completion of the course, the student will be able to contextualize the mathematics content learned for their program in the content they will teach at the high school level. Analyze common mathematical problems and real-world models using functions. Analyze solutions of mathematical problems to determine alternative means of solving and/or representing the solution, and ways of extending and/or generalizing the problem. Analyze the origins, representations, and applications of mathematical concepts. Apply and prove the Division Algorithm and Euclidean Algorithm. Construct and analyze proofs using mathematical inductions. Describe the various ways of representing and defining of functions. Develop and apply algebraic properties of modular arithmetic systems. Explain the construction of the real and complex number systems and various ways of representing real and complex numbers. Extend the Division and Euclidean Algorithm to polynomials. In particular, the student will be able to perform, analyze, and see the connections between the following skills and concepts and to the application of these skills to high school mathematics instruction. The skills/processes include: Recognize and prove various logical equivalences to mathematical induction. Relate integer congruence to real-world applications. Prove and apply the Chinese Remainder Theorem. Relate properties of the real and complex number systems to general ordered fields. Use the theory of functions in solving equations and inequalities.
	MATH 4221 - Modern Algebra I Groups, permutation groups, subgroups, quotient groups. Conjugate classes and class equation formula and its application to p-groups. Fundamental theorem on homomorphisms. Requisites: (CS 3000 or MATH 3050) and (3200 or 3210) Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will enhance their understanding and appreciation of the axiomatic method as well as their familiarity with basic algebraic structures and their ability to write proofs.
	MATH 4222 - Modern Algebra II Fundamental theorem on finite abelian groups and its consequences. Cauchy theorem and first Sylow theorem. Polynomial rings. UFD and Euclidean domains. Maximal ideals. Algebraic extensions and splitting fields. Fundamental theorem of Galois theory. Requisites: MATH 4221 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will enhance their understanding and appreciation of the axiomatic method as well as their familiarity with basic algebraic structures and their ability to write proofs.
	MATH 4230 - Introduction to Algebraic Coding Theory Encoding and decoding. Vector spaces over finite fields. Linear Codes, parity-check matrices, syndrome decoding, Hamming Codes, and Cyclic Codes. Requisites: MATH 3200 or 3210 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will learn about this important application of Modern Algebra. They will understand the criteria for goodness of the various error-correcting codes studied and will be able to do the appropriate calculations to design the codes and to use them to correct a prescribed number of errors.
	MATH 4301 - Advanced Calculus I A proof-based course on functions of one variable. Topics include properties of the real and complex numbers, metric spaces and basic topology, sequences and series, a careful study of limits and continuity, differentiation and Riemann-Stieltjes integration. Requisites: MATH 3300 and (3200 or 3210) Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students are prepared for graduate study and research in mathematics. Students can understand and can prove the foundations of calculus.
	MATH 4302 - Advanced Calculus II Sequences and series of functions, uniform convergence, power series and elementary functions, multidimensional differentiation and integration, special functions (as time permits) Requisites: MATH 4301 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students are prepared for graduate study and research in mathematics. Students can prove and use fundamental theorems about the convergence of functions.
	MATH 4310 - Complex Variables A first course in complex variables focused on developing analytic techniques that are useful in applications. The course is also essential for further study in mathematics and students will be expected to do some proofs. Topics will include: Analytic and harmonic functions, Cauchy integration and residue theorems, contour integration, Taylor and Laurent expansions, conformality and linear fractional transformations with applications. Requisites: MATH 3300 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students can prove basic theorems about analytic functions. Students can use complex variables as tool for applications.
	MATH 4330 - Hilbert Spaces and Applications A course in applied linear analysis, especially Hilbert spaces, for advanced undegraduate and graduate students in mathematics, the sciences or engineering. The course will introduce both the practical and theoretical aspects of linear analysis and students will be expected to complete both computational and proof-oriented exercises. Topic covered will include: Normed Vector Spaces, the spaces L1 and L2, Hilbert Spaces, orthonormal systems, linear operators on Hilbert space and applications to differential equations. Requisites: MATH 3400 and (3200 or 3210) Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Can prove basic properties of Hilbert spaces and other functions spaces. Can use Hilbert space techniques in applications. Students will understand the concepts and properties of function spaces and their properties.
	MATH 4400 - Advanced Differential Equations An introduction to the qualitative theory of differential equations, with emphasis on linear systems. Requisites: MATH 3400 and (3200 or 3210) Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will have a good understanding of linear systems of ordinary differential equations.
	MATH 4410 - Fourier Analysis and Partial Differential Equations Representation of functions as sums of infinite series of trigonometric functions and complex exponentials,, Bessel functions, Legendre polynomials, or other sets of orthogonal functions. Use of such representations for solution of partial differential equations dealing with vibrations, heat flow, and other physical problems. Requisites: MATH 3300 and 3400 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Ability to use the separation of variables method in the study of classical equations of mathematical physics.
	MATH 4470 - Applied Dynamical Systems A survey of applied dynamical systems for scientists, engineers and mathematicians with an emphasis on continuous time models. Requisites: MATH 3400 and (3200 or 3210) Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will have tools for the analysis of dynamical systems that arrise in applications. Students will understand the basic concepts of dynamical systems and how they are used. Students will understand the role of dynamical systems as models for applications.
	MATH 4500 - Theory of Statistics Probability distributions of one and several variables, sampling theory, estimation of parameters, confidence intervals, analysis of variance, correlation, and testing of statistical hypotheses. Requisites: MATH 3300 and 3500 and (3200 or 3210) Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Analyze and compare different point estimators. Compute various probabilities and expectations by various methods. Conduct various standard hypotheses tests, compute the power functions, find the UMP test using Neyman-Pearson Lemma, and find the likelihood-ratio test. Find a confidence interval for a parameter for various distributions. Find a point estimator of a parameter using various methods. Find distributions of functions of random variables.
	MATH 4510 - Applied Statistics Applications of the theory of statistics, including hypotheses testing, regression and correlation analysis, experimental design, and nonparametric statistics. Requisites: MATH 4500 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Analyze simple linear regression models; derive point estimators, confidence intervals, and test statistics. Apply the ANOVA model to the experimental design data. Use nonparametric method for hypotheses tests when the underlying conditions for parametric tests are violated.
	MATH 4520 - Stochastic Processes Markov chains, Poisson process, birth and death process, queuing, and related topics. Requisites: MATH 4500 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Analyze Poisson process and its generalizations. Analyze simple renewal processes and queuing models. Understand and analyze important MC models. Use conditioning techniques to find probabilities and expectations.
	MATH 4530 - Statistical Computing Introduction to computational statistics; Monte Carlo methods, bootstrap, data partitioning methods, EM algorithm, probability density estimation, Markov Chain Monte Carlo methods. Requisites: MATH 4500 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Conduct data analysis using one or more major statistical models. Generate distributions by various methods. Use computer-intensive method for estimation and hypotheses testing.
	MATH 4550 - Basic Principles of Actuarial Science Basic concepts of risk theory and utility theory, applied calculus and probability models for the analysis of claims, frequency and severity of distributions, loss distributions, premium determination, insurance with deductible, reinsurance and self-insurance. Requisites: MATH 4500 concurrent Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Be equipped with basic skills required for the first actuarial science exam. Find probabilities, moments, and distributions using various methods. Solve the problems arising in the context of risk management.
	MATH 4560 - Life Contingencies An introduction to the mathematical theory of contingencies, concentrating on models for the actuarial present value of a future set of payments contingent on some random event(s), with applications to life insurance, life annuities, benefit reserves. It includes material from examinations by the Society of Actuaries and the Casualty Actuarial Society. Requisites: MATH 4550 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: 3.0 lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I Learning Outcomes: Students will be able to work with key concepts concerning parametric and non-parametric models including single life, multiple life and multiple decrements. Students will be able to perform calculations on present value random variables associated with benefits and expenses for different survival models. Students will be able to calculate and interpret probabilities, means, variances and percentiles for the present value random variable. Students will be able to calculate the effect of changes in underlying assumptions such as mortality and interest on the present value random variable. Students will be able to use and explain premium calculation methodologies. Students will be able to calculate and interpret probabilities, means, variances and percentiles of random variables associated with premiums. Students will be able to calculate premiums based on the equivalence principle, the portfolio percentile premium principle and profit testing. Students will be able to calculate and interpret probabilities, means, variances and percentiles for random variables associated with reserves. Students will understand premium reserves for insurances and annuities for survival models and different premium types, including net premium, modified premium, gross premium and expense. Students will be able to calculate and interpret common profit measures such as expected profit, actual profit and break-even year. Students will be able to apply survival models, different types of premiums and reserves calculations to pension plans and retirement benefits.
	MATH 4570X - Investment and Financial Markets Introduction to the evaluation of options, futures and other derivatives, as well as interest models and risk management techniques e.g. pricing of guarantees with annuity products, pricing of mortgage guaranty insurance, managing and hedging of insurance risk. Includes material from examinations by the Society of Actuaries (SOA-IFM) and the Casualty Actuarial Society (CAS-3F). Requisites: MATH 3500 and 3560 Credit Hours: 3 Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts. Lecture/Lab Hours: lecture Grades: Eligible Grades: A-F,WP,WF,WN,FN,AU,I

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Course Descriptions

MKT 4100 - Sustainability Marketing

MKT 4200 - Services Marketing

MKT 4250 - Business to Business Marketing

MKT 4300 - Digital Marketing and Sales Strategies

MKT 4410 - International Marketing

MKT 4440 - Consumer Behavior

MKT 4500 - Management of Promotion

MKT 4550 - Achieving Customer Satisfaction and Service Excellence

MKT 4580 - Sales Management

MKT 4600 - Brand Management

MKT 4630 - Marketing Strategy

MKT 4650 - New Product Development

MKT 4680 - Consultative Sales

MKT 4700 - Marketplace Analytics

MKT 4780 - Sales Strategy & Technology

MKT 4900 - Special Topics in Marketing

MKT 4910 - Sales Internship

MKT 4919 - Marketing Internship

MKT 4930 - Independent Study

MKT 4940 - Independent Research

MATH D003 - Elementary Algebra

MATH D004 - Intermediate Algebra with PreAlgebra

MATH D004 - Intermediate Algebra with PreAlgebra

MATH D005 - Intermediate Algebra

MATH D005 - Intermediate Algebra

MATH D200X - College Algebra Essentials

MATH D300 - Peer-Led Team Learning Laboratory for Pre-Calculus

MATH D301 - Peer-Led Team Learning Laboratory for Calculus I

MATH 1060 - Quantitative Reasoning

MATH 1060L - Support for Quantitative Reasoning

MATH 1090 - Consumer Mathematics

MATH 1101 - Elementary Topics in Mathematics I

MATH 1102 - Elementary Topics in Mathematics II

MATH 1200 - College Algebra

MATH 1200L - College Algebra Essentials

MATH 1250 - Introductory Game Theory

MATH 1260 - Finite Mathematics

MATH 1300 - Pre-Calculus

MATH 1321 - Elementary Applied Mathematics I

MATH 1322 - Elementary Applied Mathematics II

MATH 1350 - Survey of Calculus

MATH 1500 - Introductory Statistics

MATH 1500L - Introductory Statistics Essentials

MATH 2110 - Introductory Geometry for Middle School Teachers

MATH 2120X - Number and Algebra for Middle School Teachers

MATH 2301 - Calculus I

MATH 2301A - Honors Experience: Calculus I

MATH 2302 - Calculus II

MATH 2302A - Honors Experience: Calculus II

MATH 2500 - Statistics and Probability

MATH 2500A - Honors Experience in Introduction to Statistics

MATH 2530 - Introductory Data Science

MATH 2530X - Foundations of Data Science

MATH 2900 - Special Topics in Mathematics

MATH 2970T - Mathematics Tutorial

MATH 2971T - Mathematics Tutorial

MATH 2980T - Mathematics Tutorial

MATH 2981T - Mathematics Tutorial

MATH 3000 - History of Mathematics

MATH 3050 - Discrete Mathematics

MATH 3060 - Introduction to Mathematical Reasoning, Problem Solving, and Proof

MATH 3060X - Introduction to Mathematical Reasoning, Problem Solving, and Proof

MATH 3070 - Introduction to Number Theory

MATH 3110 - College Geometry

MATH 3200 - Applied Linear Algebra

MATH 3200A - Honors Experience in Applied Linear Algebra

MATH 3210 - Linear Algebra

MATH 3240 - Abstract Algebra

MATH 3300 - Calculus III

MATH 3320 - Vector Analysis

MATH 3400 - Elementary Differential Equations

MATH 3400A - Honors Experience: Elementary Differential Equations

MATH 3500 - Probability

MATH 3505X - Applied Linear Models

MATH 3560 - Theory of Interest

MATH 3560X - Theory of Interest

MATH 3600 - Applied Numerical Methods

MATH 3680 - Quantitative Foundations for Bioinformatics

MATH 3970T - Mathematics Tutorial