Lecturer: Qin Deng
E-mail: qin.deng@mail.utoronto.ca
Class Time: T9-10, W9-11 @MP203
Office hours: W12-2 @ PG003
Unit 14: Power series
Date | Topic | Videos | Slides | Textbook section |
---|---|---|---|---|
W 20/03/19 | Power series, Taylor polynomials | 14.1 - 14.4 | Lec 14.1 slides | 9.1 - 9.3 |
T 26/03/19 | Taylor series | 14.5, 14.6 | Lec 14.2 slides | 9.1 - 9.3 |
W 27/03/19 | Analytic functions, new power series | 14.7 - 14.10 | Lec 14.3 slides | 9.1 - 9.3 |
T 02/04/19 | Applications | 14.12, 14.14 | Lec 14.4 slides | 9.1 - 9.4 |
W 02/04/19 | Applications | 14.11, 14.13 | Lec 14.5 slides | 9.1-9.4 |
Date | Topic | Videos | Slides | Textbook section |
---|---|---|---|---|
T 05/03/19 | Definition of series | 13.1 - 13.4 | Lec 13.1 slides | 8.3 |
W 06/03/19 | Properties of series | 13.5 - 13.9 | Lec 13.2 slides | 8.3, 8.4 |
T 12/03/19 | Integral and comparison tests | 13.10 - 13.12 | Lec 13.3 slides | 8.5, 8.7 |
W 13/03/19 | Alternating series, conditional and absolute convergence | 13.13 - 13.17 | Lec 13.4 slides | 8.6 |
T 19/03/19 | Ratio test | 13.18, 13.19 | Lec 13.5 slides | 8.7 |
Date | Topic | Videos | Slides | Textbook section |
---|---|---|---|---|
T 26/02/19 | Improper integrals | 12.1 - 12.6 | Lec 12.1 slides | 7.8, 7.9 |
W 27/02/19 | BCT, LCT | 12.7 - 12.10 | Lec 12.2 slides | 7.8, 7.9 |
Date | Topic | Videos | Slides | Textbook section |
---|---|---|---|---|
W 06/02/19 | Sequences | 11.1, 11.2 | Lec 11.1 slides | 8.1, 8.2 |
T 12/02/19 | Properties of sequences | 11.3, 11.4 | Lec 11.2 slides | 8.1,8.2 |
W 13/02/19 | Theorems about sequences, the Big Theorem | 11.5 - 11.8 | Lec 11.3 slides | 8.2 |
Date | Topic | Videos | Slides | Textbook section |
---|---|---|---|---|
T 05/02/19 | Volume | 10.1 | Lec 10.1 slides | TBA |
W 06/02/19 | Volume | 10.2 | See Lec 11.1 | TBA |
Date | Topic | Videos | Slides | Textbook section |
---|---|---|---|---|
W 23/01/19 | Integration by substitution | 9.1 - 9.4 | Lec 9.1 slides | 6.1 |
T 29/01/19 | Integration by parts | 9.5 - 9.9 | Lec 9.2 slides | 6.2 |
W 30/01/19 | Integration of trig functions, rational functions | 9.10 - 9.12, 9.15 - 9.17 | Lec 9.3 slides | 6.3 |
Date | Topic | Videos | Slides | Textbook section |
---|---|---|---|---|
W 16/01/19 | Antiderivative, indefinite integrals | 8.1, 8.2 | Lec 8.1 slides | 5.5, 5.6 |
T 22/01/19 | FTC I | 8.3, 8.4 | Lec 8.2 slides | 5.6 |
W 23/01/19 | FTC II | 8.5 - 8.7 | See Lec 9.1 | 5.6 |
Date | Topic | Videos | Slides | Textbook section |
---|---|---|---|---|
T 08/01/19 | Sums and sigmas | 7.1, 7.2 | Lec 7.1 slides | - |
W 09/01/19 | Suprema, infima and integrable functions | 7.3 - 7.7 | Lec 7.2 slides | - |
T 15/01/19 | More integrable functions | 7.8, 7.9 | Lec 7.3 slides | - |
W 16/01/19 | Riemann sums | 7.10 - 7.12 | See Lec 8.1 | - |
Date | Topic | Videos | Slides | Textbook section |
---|---|---|---|---|
T 27/11/18 | Applied optimizations | 6.1, 6.2 | Lec 6.1 slides | 4.8 |
W 28/11/18 | Indeterminate forms, L’Hopital’s Rule | 6.3 - 6.10 | Lec 6.2 slides | 4.4 - 4.6 |
T 4/12/18 | Concavity | 6.11, 6.12 | Lec 6.3 slides | 2.1, 4.9 |
W 5/12/18 | Asymptotes, Curve sketching | 6.13 - 6.16 | Lec 6.4 slides | 4.9 |
Date | Topic | Videos | Slides | Textbook section |
---|---|---|---|---|
W 14/11/18 | Inverse trig functions, Local extrema | 4.6 - 4.8, 5.1 - 5.4 | Lec 5.1 slides | 3.5, 4.1 |
T 20/11/18 | Rolle’s Theorem | 5.5, 5.6 | Lec 5.2 slides | 4.2 |
W 21/11/18 | MVT, Monotonicity | 5.7 - 5.12 | Lec 5.3 slides | 4.2, 4.3 |
Date | Topic | Videos | Slides | Textbook section |
---|---|---|---|---|
W 31/10/18 | Related rates, inverse functions | 3.19, 3.20, 4.1, 4.2 | Lec 4.1 slides | 4.7, 1.5, 1.7 |
T 13/10/18 | One-to-one functions | 4.3, 4.4, 4.5 | Lec 4.2 slides | 1.7, 3.6 |
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 |
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 |
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 |