**Lecturer:** Qin Deng

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

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

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

** Homework** for **R 07/12/17**: None

** News:** Problem set 5 has been posted on course website. It is due January 7th.

** 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 6: Applications of derivatives**

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

M 27/11/17 | Limits at infinity | - | Lec 6.1 slides | - |

W 29/11/17 | L’Hopital’s Rule | - | Lec 6.2 slides | 11.5 |

R 30/11/17 | L’Hopital’s Rule | - | Lec 6.3 slides | 11.6 |

M 04/12/17 | Concavity | - | Lec 6.4 slides | 4.1 |

W 06/12/17 | Asymptotes | - | Lec 6.5 preslides | 4.2, 4.4 |

R 07/12/17 | Graphing | - | - | 4.5 |

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

M 13/11/17 | Related rates | 5.1 | Lec 5.1 slides | 4.10 |

W 15/11/17 | Local extrema | 5.2, 5.3, 5.4 | Lec 5.2 slides | 4.3, 4.4 |

R 16/11/17 | Rolle’s Theorem | 5.5, 5.6 | Lec 5.3 slides | 4.1 |

M 20/11/17 | MVT | 5.7, 5.8, 5.9 | Lec 5.4 slides | 4.1 |

W 22/11/17 | Increasing and decreasing | 5.10, 5.11, 5.12 | Lec 5.5 slides | 4.2, 4.4 |

R 23/11/17 | Applications to optimization | - | Lec 5.6 slides | 4.5 |

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

M 30/10/17 | Functions and inverses | 4.1, 4.2 | Lec 4.1 slides | 7.1 (partially) |

W 1/11/17 | When do inverses exist? Properties of inverses | 4.3, 4.4, 4.5 | Lec 4.2 slides | 7.1 (partially) |

R 2/11/17 | Inverse trig functions | 4.6, 4.7, 4.8 | Lec 4.3 slides | 7.7 |

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 slides | 3.2, 3.3 |

M 23/10/17 | Chain rule | 3.9, 3.10 | Lec 3.4 slides | 3.5 |

W 25/10/17 | Trigonometric derivatives, Implicit differentiation | 3.11, 3.12 | Lec 3.5 slides | 3.6, 3.7 |

R 26/10/17 | Exponentials and logarithms | 3.13 - 3.18 | Lec 3.6 slides | - |

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 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 | - |