Math 109 - Mathematical Reasoning (4 units), Summer Session 2 2019

Homework and Tentative Schedule

Aug 6Ch. 1 - The language of mathematics
Ch. 2 - Implications
Ch. 3 - Proofs
Aug 8Ch. 4 - Proof by contradiction
Ch. 5 - The induction principle
 
Aug 13Ch. 6 - The language of set theory
Ch. 7 - Quantifiers
Ch. 15 - The division theorem
HW 1 due, Solutions
Aug 15Ch. 16 - The Euclidean algorithm
Ch. 8 - Functions
 
Aug 20Ch. 9 - Injections, surjections, and bijections
Review
HW 2 due, Solutions
Aug 22Midterm
Ch. 10 - Counting
 
Aug 27Ch. 11 - Properties of finite sets
Ch. 12 - Counting functions and subsets
HW 3 due, Solutions
Aug 29Ch. 13 - Number systems
Ch. 14 - Counting infinite sets
 
Sep 3Ch. 19 - Congruence of integers
Ch. 22 - Partitions and equivalence relations
HW 4 due, Solutions
Sep 5Ch. 23 - The sequence of prime numbers
Catch-up/Review
Extra Problems (do not turn in), Solutions
 
Sep 7Final Exam: 11:30am-2:30pm, Location TBD