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Jun 25, 2024
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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.
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