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Nov 25, 2024
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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 do not need MATH 1200 for their intended majors or as a prerequisite for other classes should consider instead taking MATH 1060, MATH 1500, or another BRICKS: Foundations: Quantitative Reasoning course. 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 credit 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.
- Students 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 problem solving applications.
- Students will be able to use the Remainder and Factor Theorems for polynomial functions.
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