Math 109 - Mathematical Reasoning (4 units), Spring 2020

Homework and Tentative Schedule

Mar 30Ch. 1 - The language of mathematics
Apr 1Ch. 2 - Implications
Apr 3Ch. 3 - Proofs
 
Apr 6Ch. 4 - Proof by contradiction
Apr 8Ch. 4 - Proof by contradiction (continued), Ch. 5 - The induction principle, HW 1 due
Apr 10Ch. 5 - The induction principle (continued)
 
Apr 13Ch. 6 - The language of set theory
Apr 15Ch. 6 - The language of set theory (continued), Ch. 7 - Quantifiers, HW 2 due
Apr 17 Ch. 7 - Quantifiers (continued), Ch. 15 - The division theorem
 
Apr 20Ch. 15 - The division theorem (continued), Ch. 16 - The Euclidean algorithm
Apr 22Ch. 8 - Functions, HW 3 due
Apr 24Ch. 8 - Functions (continued), Ch. 9 - Injections, surjections, and bijections
 
Apr 27Review
Apr 29Midterm: 9am PST
May 1Ch. 9 - Injections, surjections, and bijections (continued)
 
May 4Ch. 10 - Counting
May 6Ch. 10 - Counting (continued), Ch. 11 - Properties of finite sets, HW 4 due
May 8Ch. 11 - Properties of finite sets (continued)
 
May 11Ch. 12 - Counting functions and subsets
May 13Ch. 12 - Counting functions and subsets (continued), HW 5 due
May 15Ch. 13 - Number systems
 
May 18Ch. 13 - Number systems (continued)
May 20Ch. 14 - Counting infinite sets, HW 6 due
May 22Ch. 14 - Counting infinite sets (continued)
 
May 25No class
May 27Ch. 14 - Counting infinite sets (continued), Ch. 19 - Congruence of integers, HW 7 due
May 29Ch. 19 - Congruence of integers (continued), Ch. 22 - Partitions and equivalence relations
 
Jun 1Ch. 22 - Partitions and equivalence relations (continued)
Jun 3Ch. 23 - The sequence of prime numbers, HW 8 due
Jun 5Review
 
Jun 9Final Exam: 11am PST