Math 109 - Mathematical Reasoning (4 units), Summer Session 1 2019

Homework and Tentative Schedule

Jul 2Ch. 1 - The language of mathematics
Ch. 2 - Implications
Ch. 3 - Proofs
Jul 4No class
 
Jul 9Ch. 4 - Proof by contradiction
Ch. 5 - The induction principle
HW 1 due, Solutions
Jul 11Ch. 6 - The language of set theory
Ch. 7 - Quantifiers
Ch. 15 - The division theorem
 
Jul 16Ch. 16 - The Euclidean algorithm
Ch. 8 - Functions
HW 2 due, Solutions
Jul 18Midterm
Ch. 9 - Injections, surjections, and bijections
 
Jul 23Ch. 10 - Counting
Ch. 11 - Properties of finite sets
Ch. 12 - Counting functions and subsets
HW 3 due, Solutions
Jul 25Ch. 13 - Number systems
Ch. 14 - Counting infinite sets
 
Jul 30Ch. 19 - Congruence of integers
Ch. 22 - Partitions and equivalence relations
HW 4 due, Solutions
Aug 1Ch. 23 - The sequence of prime numbers
Catch-up/Review
Extra Problems (do not turn in), Solutions
 
Aug 3Final Exam: 11:30am-2:30pm, Location TBD