**Lecturer:** Qin Deng

**E-mail:** qin.deng@mail.utoronto.ca

**Class Time: ** MWR4-5 @ MP202

**Office Hours:** W5-7 @ PG003

** Homework** for **R 19/10/17: **Watch videos 3.8, 3.6 and 3.7

** News:** Assignment 2 has been posted on the course website. It is due on November 2nd.

** News:** Test 1 takes place on October 20th from 16:00 - 18:00. If you have a conflict, follow these instructions and contact Alfonso by October 13th.

** News:** Proof clinic opens week of September 25th. You can find a list of 20 practice proof problems on the course website under the resources section.

** Unit 3: Derivatives**

Date | Topic | Videos | Slides | Textbook section |
---|---|---|---|---|

M 16/10/17 | Definition of derivatives | 3.1, 3.2, 3.3 | Lec 3.1 slides | 3.1, 3.3, 3.4 |

W 18/10/17 | Differentiation rules | 3.4, 3.5 | Lec 3.2 slides | 3.2 |

R 19/10/17 | Proof of differentiation rules | 3.8, 3.6, 3.7 | Lec 3.3 pre-slides | 3.2, 3.3 |

M 23/10/17 | Chain rule | 3.9, 3.10 | - | 3.5 |

W 25/10/17 | Trigonometric derivatives; Implicit differentiation | 3.11, 3.12 | - | 3.6, 3.7 |

R 26/10/17 | Exponentials and logarithms | 3.13 - 3.18 | - | - |

Date | Topic | Videos | Slides | Textbook section |
---|---|---|---|---|

R 21/09/17 | Inequalties; Absolute values | 2.4 | Lec 7 slides | 1.3 |

M 25/09/17 | Intuitive idea of a limit | 2.1, 2.2, 2.3 | Lec 8 slides | 2.1 |

W 27/09/17 | Definition and proof of limits | 2.5, 2.6, 2.7 | Lec 9 slides | 2.2 |

R 28/09/17 | Definition and proof of limits | 2.8 | Lec 10 slides, Proof from class | 2.2 |

M 2/10/17 | Limits not existing; Limit laws | 2.9, 2.10 | Lec 11 slides | 2.3 |

W 4/10/17 | Squeeze theorem; Continuity | 2.11, 2.12, 2.13 | Lec 12 slides | 2.5, 2.4 |

R 5/10/17 | Continuity theorems; Behaviour of limits under composition | 2.14, 2.15 | Lec 13 slides, Theorem from class, Sample student solution w/ comments | 2.4 |

W 11/10/17 | Discontinuity; Computations | 2.16, 2.17, 2.18 | Lec 14 slides | 2.5 |

R 12/10/17 | IVT; EVT | 2.19, 2.20 | Lec 15 pre-slides | 2.6 |

Date | Topic | Videos | Slides | Textbook section |
---|---|---|---|---|

R 07/09/17 | Introduction | - | Lec 1 slides | - |

M 11/09/17 | Sets; Quantifiers | 1.1, 1.2, 1.3 | Lec 2 slides | - |

W 13/09/17 | Quantifiers; Negation | 1.4, 1.5, 1.6 | Lec 3 slides | - |

R 14/09/17 | Conditionals; Negation | 1.7, 1.8, 1.9 | Lec 4 slides | - |

M 18/09/17 | Definitions; Proofs | 1.10, 1.11, 1.12, 1.13 | Lec 5 slides | - |

W 20/09/17 | Induction | 1.14, 1.15 | Lec 6 slides | - |