Lecturer: Qin Deng
E-mail: qin.deng@mail.utoronto.ca
Class Time: M, Th, F 2-3
Office hours: Th 3-5
Class TAs: Dong Hao (David) Ou Yang, Aaron Tronsgard
Date | Topic | Videos | Slides |
---|---|---|---|
Th 10/09/20 | Introduction | - | Lec 1.1 slides |
F 11/09/20 | Sets | 1.1, 1.2, 1.3 | Lec 1.2 slides |
M 14/09/20 | Quantifiers | 1.4, 1.5, 1.6 | Lec 1.3 slides |
Th 17/09/20 | Conditionals | 1.7, 1.8, 1.9 | Lec 1.4 slides |
F 18/09/20 | Definitions and proofs | 1.10 - 1.13 | Lec 1.5 slides |
M 21/09/20 | Induction | 1.14, 1.15 | Lec 1.6 slides |
Date | Topic | Videos | Slides |
---|---|---|---|
Th 24/09/20 | Distance and absolute value | 2.4 | Lec 2.1 slides |
F 25/09/20 | Limits geometrically | 2.1, 2.2, 2.3 | Lec 2.2 slides |
M 28/09/20 | The definition of limit | 2.5, 2.6 | Lec 2.3 slides |
Th 01/10/20 | Proofs from the definition of limit | 2.7, 2.8, 2.9 | Lec 2.4 slides |
F 02/10/20 | Limit laws | 2.10, 2.11 | Lec 2.5 slides |
M 05/10/20 | Squeeze theorem and more proofs with limits | 2.12, 2.13 | Lec 2.6 slides | Th 08/10/20 | Continuity | 2.14, 2.15 | Lec 2.7 slides | F 09/10/20 | More on continuity | 2.16, 2.17, 2.18 | Lec 2.8 slides | Th 15/10/20 | Computations | 2.19, 2.20 | Lec 2.9 slides | F 16/10/20 | IVT, EVT | 2.21, 2.22 | Lec 2.10 slides, computation hints |
Date | Topic | Videos | Slides |
---|---|---|---|
M 19/10/20 | Definition of derivative | 3.1, 3.2, 3.3 | Lec 3.1 slides |
Th 22/10/20 | Differentiation rules | 3.4, 3.5, 3.8 | Lec 3.2 slides |
F 23/10/20 | Proof of the differentiation rules | 3.6, 3.7, 3.9 | Lec 3.3 slides |
M 26/10/20 | The chain rule | 3.10, 3.11 | Lec 3.4 slides |
Th 29/10/20 | Trig derivatives, implicit differentiation | 3.12, 3.13 | Lec 3.5 slides |
Date | Topic | Videos | Slides |
---|---|---|---|
F 30/10/20 | Inverse functions | 4.1, 4.2 | Lec 4.1 slides |
M 02/11/20 | Inverse functions | 4.3, 4.4 | Lec 4.2 slides |
Th 05/11/20 | Exponentials and logarithms | 4.5, 4.7 - 4.9 (4.6, 4.10, 4.11) | Lec 4.3 slides |
F 06/11/20 | Inverse trig functions | 4.12, 4.13, 4.14 | Lec 4.4 slides |
Date | Topic | Videos | Slides |
---|---|---|---|
M 16/11/20 | Local and global extrema | 5.1 - 5.4 | Lec 5.1 slides |
Th 19/11/20 | Rolle's Theorem | 5.5, 5.6 | Lec 5.2 slides |
F 20/11/20 | MVT | 5,7, 5.8, 5.9 | Lec 5.3 slides |
M 23/10/20 | Monotonicity | 5.10, 5.11, 5.12 | Lec 5.4 slides |
Date | Topic | Videos | Slides |
---|---|---|---|
Th 26/11/20 | Related rates | 6.1, 6.2 | Lec 6.1 slides |
F 27/11/20 | Applied optimization | 6.3, 6.4 | Lec 6.2 slides |
M 30/11/20 | Indeterminate form and L'Hôpital's Rule | 6.6, 6.7, 6.9 (6.5, 6.8) | Lec 6.3 slides |
Th 03/12/20 | Indeterminate form and L'Hôpital's Rule | 6.10, 6.12 (6.11) | Lec 6.4 slides |
F 04/12/20 | Concavity | 6.13, 6.14 | Lec 6.5 slides |
M 07/12/20 | Asymptotes | 6.15 - 6.17 (6.18) | Lec 6.6 slides |
Th 10/12/20 | Curve sketching | - | Lec 6.7 slides |
Date | Topic | Videos | Slides |
---|---|---|---|
M 11/01/21 | Sums and sigmas | 7.1, 7.2 | Lec 7.1 slides |
Th 14/01/21 | Suprema and infima | 7.3, 7.4 | Lec 7.2 slides |
F 15/01/21 | The definition of integral | 7.5, 7.6 | Lec 7.3 slides |
M 18/01/21 | Examples and properties of the integral | 7.7, 7.8, 7.11 | Lec 7.4 slides |
Th 21/01/21 | Integrals as limits | 7.9, 7.10 | Lec 7.5 slides |
Date | Topic | Videos | Slides |
---|---|---|---|
F 22/01/21 | Antiderivatives and indefinite integrals | 8.1, 8.2 | Lec 8.1 slides |
M 25/01/21 | FTC - Part 1 | 8.3, 8.4 | Lec 8.2 slides |
Th 28/01/21 | FTC - Part 2 | 8.5, 8.6 (8.7) | Lec 8.3 slides |
Date | Topic | Videos | Slides |
---|---|---|---|
F 29/01/21 | Integration by substitution | 9.1, 9.2 (9.3) | Lec 9.1 slides |
M 01/02/21 | Integration by parts | 9.4 (9.5, 9.6) | Lec 9.2 slides |
Th 04/02/21 | Integration of products of trigonometric functions | 9.7 (9.8, 9.9) | Lec 9.3 slides |
F 05/02/21 | Integration of rational functionsl | 9.10 (9.11, 9.12) | Lec 9.4 slides |
Date | Topic | Videos | Slides |
---|---|---|---|
M 08/02/21 | Volumes | 10.1 | Lec 10.1 slides |
Th 11/02/21 | Volumes | 10.2 | Lec 10.2 slides |
Date | Topic | Videos | Slides |
---|---|---|---|
F 12/02/21 | Sequences | 11.1, 11.2 | Lec 11.1 slides |
M 22/02/21 | Properties of sequences | 11.3, 11.4 | Lec 11.2 slides |
Th 25/02/21 | Theorems about sequences | 11.5, 11.6 | Lec 11.3 slides |
F 26/02/21 | The Big Theorem | 11.7, 11.8 | Lec 11.4 slides |
Date | Topic | Videos | Slides |
---|---|---|---|
M 01/03/21 | Improper integrals | 12.1, 12.4, 12.5 (12.2, 12.3, 12.6) | Lec 12.1 slides |
Th 04/03/21 | The Basic Comparison Test | 12.7, 12.8 | Lec 12.2 slides |
F 05/03/21 | The Limit Comparison Test | 12.9, 12.10 | Lec 12.3 slides |
Date | Topic | Videos | Slides |
---|---|---|---|
M 08/03/21 | Definition of series | 13.2, 13.3, 13.4 (13.1) | Lec 13.1 slides |
Th 11/03/21 | Properties of series | 13.5, 13.6, 13.7 | Lec 13.2 slides |
F 12/03/21 | Properties of series | 13.8, 13.9 | Lec 13.3 slides |
M 15/03/21 | Integral test and comparison test | 13.10, 13.12 (13.11) | Lec 13.4 slides |
Th 18/03/21 | Alternating series | 13.13 (13.14) | Lec 13.5 slides |
F 19/03/21 | Absolute and conditional convergence | 13.15 (13.16, 13.17) | Lec 13.6 slides |
M 22/03/21 | Ratio test | 13.18, 13.19 | Lec 13.7 slides |
Date | Topic | Videos | Slides |
---|---|---|---|
Th 25/03/21 | Power series | 14.1, 14.2 | Lec 14.1 slides |
F 26/03/21 | Taylor polynomials | 14.3, 14.4 | Lec 14.2 slides |
M 29/03/21 | Taylor series | 14.5, 14.6 | Lec 14.3 slides |
Th 01/04/21 | Analytic functions | 14.7, 14.8 | Lec 14.4 slides |
M 05/04/21 | Constructing new Taylor series | 14.9, 14.10 | Lec 14.5 slides |
Th 08/04/21 | Applications | 14.12, 14.14 | Lec 14.6 slides |
F 09/04/21 | Applications | 14.11, 14.13 (14.15) | Lec 14.7 slides |
M 12/04/21 | Outroduction | - | Lec 14.8 slides |