Foundations of Mathematical Proof

Department: 
MATH
Course Number: 
2106
Hours - Lecture: 
3
Hours - Lab: 
0
Hours - Recitation: 
0
Hours - Total Credit: 
3
Typical Scheduling: 
Fall and Spring semesters

An introduction to proofs in advanced mathematics, intended as a transition to upper division courses including MATH 4107, 4150 and 4317.

Prerequisites: 

MATH 1502 or MATH 1512 or MATH 1504 or MATH 1555 or ((MATH 1552 or MATH 15X2 or MATH 1X52) and (MATH 1553 or MATH 1554 or MATH 1564 or MATH 1522 or MATH 1X53))

Course Text: 

Mathematical Proofs: A Transition to Advanced Mathematics by Chartrand, Polimeni, and Zhang.

Topic Outline: 

Fundamentals of mathematical abstraction including sets, logic, equivalence relations, and functions. Thorough development of the basic proof techniques: direct, contrapositive, existence, contradiction, and induction. Introduction to proofs in analysis and algebra.