Math 109 - Mathematical Reasoning (4 units), Fall 2018

Homework and Tentative Schedule

Sep 28Ch. 1 - The language of mathematics
 
Oct 1Ch. 2 - Implications
Oct 3Ch. 3 - Proofs
Oct 5Ch. 4 - Proof by contradiction
 
Oct 8Ch. 5 - The induction principle
Oct 10HW 1 due, Ch. 5 (continued)
Oct 12Ch. 6 - The language of set theory
 
Oct 15Ch. 7 - Quantifiers
Oct 17HW 2 due, Solutions by Vincent, Review, Even more practice problems
Oct 19Midterm 1 in Sequoyah 147 and 148, from 12pm to 12:50pm, Extra practice problems, Solutions by Vincent
 
Oct 22Ch. 7 (continued)
Oct 24HW 3 due, Solutions, Ch. 8 - Functions
Oct 26Ch. 8 (continued)
 
Oct 29Ch. 9 - Injections, surjections, and bijections
Oct 31HW 4 due, Solutions by Vincent, Ch. 9 (continued)
Nov 2Ch. 10 - Counting
 
Nov 5Ch. 11 - Properties of finite sets
Nov 7HW 5 due, Solutions, Ch. 12 - Counting functions and subsets
Nov 9Ch. 13 - Number systems
 
Nov 12No class
Nov 14HW 6 due, Solutions, Review
Nov 16Midterm 2 in York 2722, from 12pm to 12:50pm, Extra practice problems, Solutions
 
Nov 19Ch. 14 - Counting infinite sets
Nov 21Ch. 15 - The division theorem
Nov 23 No class
 
Nov 26Ch. 16 - The Euclidean algorithm
Nov 28HW 7 due, Solutions, Ch. 19 - Congruence of integers
Nov 30Ch. 21 - Congruence classes and the arithmetic of remainders
 
Dec 3Ch. 22 - Partitions and equivalence relations
Dec 5HW 8 due, Solutions, Ch. 23 - The sequence of prime numbers
Dec 7Review
 
Dec 13Final Exam: 11:30am-2:30pm, First names beginning with A-K: Peterson Hall 103, First names beginning with L-Z: Cognitive Science Building 004, Extra practice problems, Solutions