MATH 301 - Introduction to Proofs: Logic, Sets and Functions

(3 units)

Logic; mathematical induction; elementary set theory; functions; properties of integers and real numbers. Heavy stress on mathematical proofs. Credit may not be received for MATH 301 if credit has already been awarded for MATH 310.

Prerequisite(s): MATH 283 with a “C” or better.

Grading Basis: Graded
Units of Lecture: 3
Offered: Every Fall, Spring, and Summer

Student Learning Outcomes
Upon completion of this course, students will be able to:
1. write cogent proofs using different methods like direct proof, indirect proof, proof by contradiction, proof by induction.
2. demonstrate an understanding of basic concepts about operations with sets and functions, including one-to-one and onto functions, direct image and inverse image.
3. work with equivalence classes and identify the quotient set determined by an equivalence relation.

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