MAT137 Calculus! 2018-2019 L0601
Lecturer: Qin Deng
E-mail: qin.deng@mail.utoronto.ca
Class Time: T9-10, W9-11 @MP203
Office hours: W12-2 @ PG003
Unit 12: Improper integrals
Date |
Topic |
Videos |
Slides |
Textbook section |
T 26/02/19 |
Improper integrals |
12.1 - 12.6 |
- |
7.8, 7.9 |
W 27/02/19 |
BCT, LCT |
12.7 - 12.10 |
- |
7.8, 7.9 |
Unit 11: Sequences
Unit 10: Volumes
Unit 9: Integration methods
Unit 8: The definition of integral
Unit 7: The definition of integral
Unit 6: Applications of the derivative
Unit 5: Mean Value Theorem and applications
Unit 4: Inverse functions and inverse trig functions
Unit 3: Derivatives
Date |
Topic |
Videos |
Slides |
Textbook section |
W 17/10/18 |
Definition of derivatives, differentiation rules |
3.1, 3.2, 3.3, 3.4, 3.5, 3.8
| Lec 3.1 slides |
3.1 - 3.3 |
T 23/10/18 |
Proof of the differentiation rules |
3.6, 3.7, 3.9 |
Lec 3.2 slides |
3.1,3.3 |
W 24/10/18 |
Chain rule, implicit differentiation, trig |
3.10, 3.11, 3.12 |
Lec 3.3 slides |
3.4, 3.5, 3.7 |
T 30/10/18 |
Derivatives of exponentials and logarithms |
3.13 - 3.18 |
Lec 3.4 slides |
3.4, 3.6, 3.7 |
Unit 2: Limit and Continuity
Date |
Topic |
Videos |
Slides |
Textbook section |
T 25/09/18 |
Inequalties, absolute values |
2.4
| Lec 2.1 slides |
1.2, 1.8 |
W 26/09/18 |
Intuitive idea and definition of a limit |
2.1, 2.2, 2.3, 2.5, 2.6 |
Lec 2.2 slides |
2.1, 2.2 |
T 2/10/18 |
Proof from definition of limits |
2.7, 2.8, 2.9 |
Lec 2.3 slides |
2.2 |
W 3/10/18 |
Limit laws, squeeze theorem |
2.10, 2.11, 2.12, 2.13 |
Lec 2.4 slides |
2.3 |
T 9/10/18 |
Continuity |
2.14, 2.15 |
Lec 2.5 slides |
2.4 |
W 10/10/17 |
Continuity theorems, computations |
2.16, 2.17, 2.18, 2.19, 2.20 |
Lec 2.6 slides |
2.1, 2.3, 2.4 |
T 16/10/17 |
IVT, EVT |
2.21, 2.22 |
Lec 2.7 slides |
2.5 |
Unit 1: Set Theory and Logic
Date |
Topic |
Videos |
Slides |
Textbook section |
T 11/09/18 |
Introduction |
- |
Lec 1.1 slides |
- |
W 12/09/18 |
Sets, quantifiers |
1.1, 1.2, 1.3, 1.4, 1.5, 1.6 |
Lec 1.2 slides |
1.1, 1.2, 1.3 |
T 18/09/18 |
Conditionals, negation |
1.7, 1.8, 1.9 |
Lec 1.3 slides |
1.3 |
W 19/09/18 |
Definitions, proofs, induction |
1.10, 1.11, 1.12, 1.13, 1.14, 1.15 |
Lec 1.4 slides |
1.4 |