MTH307 - Intro to Math. Rigor

Schedule

Here is a course timetable showing exactly where we are in class. I will attempt to update it at least weekly, to give you an idea of the reading you need to do to prepare for class.

Week beginning	Section	Notes
09/05	Introductions Admin What is Mathematics?	First day of class.
09/12	1.1 Introduction to Sets 1.2 Cartesian Products 1.3 Subsets
09/19	1.4 Power Sets 1.5 Union, Intersection and Difference 1.6 Complements 1.7 Venn Diagrams	Quiz 1 and Homework 1 due on 09/22
09/26	1.8 Indexed Sets 1.9 Sets which are Number Systems 2.1 Statements 2.2 And, Or, Not	Quiz 2 and Homework 2 due on 09/29
10/03	2.3 Conditional Statements 2.4 Biconditional Statements 2.5 Truth Tables 2.6 Logical Equivalence	Quiz 3 and Homework 3 due on 10/06
10/10	2.7 Quantifiers 2.8 More on Conditional Statements 2.9 Translating English to Symbolic Logic 2.10 Negating Statements	Quiz 4 and Homework 4 due on 10/13
10/17	4. Direct Proof	Quiz 5 and Homework 5 due on 10/20
10/24	5. Contrapositive proof Midterm I	Midterm I on 10/25
10/31	6. Proof by Contradiction	Quiz 6 and Homework 6 due on 11/03
11/07	7. Proving Non-conditional Statements 8. Proofs Involving Sets	Quiz 7 and Homework 7 due on 11/10
11/14	8. Proofs Involving Sets 9. Disproof	Quiz 8 and Homework 8 due on 11/17
11/21	Midterm II	No class on 11/24 (Thanksgiving), Midterm II on 11/22/16
11/28	10. Mathematical Induction 11.0 Relations 11.1 Properties of Relations 11.2 Equivalence Relations 11.3 Equivalence Classes and Partitions	Quiz 9 and Homework 9 due on 12/01/16
12/05	11.4 Integers modulo n 12.1 Functions 12.2 Injective and Surjective Functions 12.4 Composition (briefly) 12.5 Inverses 13.1 Sets with Equal Cardinalities 13.2 Countable and Uncountable Sets 13.3 Comparing Cardinalities	Quiz 10 and Homework due on 12/08/16