MTH307: Introduction to Mathematical Rigor
Fall 2016

## 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 IntroductionsAdminWhat is Mathematics? First day of class. 09/12 1.1 Introduction to Sets1.2 Cartesian Products1.3 Subsets 09/19 1.4 Power Sets1.5 Union, Intersection and Difference1.6 Complements1.7 Venn Diagrams Quiz 1 and Homework 1 due on 09/22 09/26 1.8 Indexed Sets1.9 Sets which are Number Systems2.1 Statements2.2 And, Or, Not Quiz 2 and Homework 2 due on 09/29 10/03 2.3 Conditional Statements2.4 Biconditional Statements2.5 Truth Tables2.6 Logical Equivalence Quiz 3 and Homework 3 due on 10/06 10/10 2.7 Quantifiers2.8 More on Conditional Statements2.9 Translating English to Symbolic Logic2.10 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 proofMidterm 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 Statements8. Proofs Involving Sets Quiz 7 and Homework 7 due on 11/10 11/14 8. Proofs Involving Sets9. 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 Induction11.0 Relations11.1 Properties of Relations11.2 Equivalence Relations11.3 Equivalence Classes and Partitions Quiz 9 and Homework 9 due on 12/01/16 12/05 11.4 Integers modulo n12.1 Functions12.2 Injective and Surjective Functions12.4 Composition (briefly)12.5 Inverses13.1 Sets with Equal Cardinalities13.2 Countable and Uncountable Sets13.3 Comparing Cardinalities Quiz 10 and Homework due on 12/08/16