**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 |