Lecturer: Qin Deng
E-mail: qin.deng@mail.utoronto.ca
Class Time: WF1-4
Office hours: WF4-5
Lectures
Date | Topic | Videos | Slides |
---|---|---|---|
W 06/05/20 | Introduction, Sets, Quantifiers | 1.1 - 1.6 | Lecture 1 slides |
F 08/05/20 | Conditionals, Definitions, Proofs, Induction | 1.7 - 1.15 | Lecture 2 slides |
W 13/05/20 | Absolute Values, Inequalities, Definition of limits | 2.1 - 2.6 | Lecture 3 slides |
F 15/05/20 | Formal proofs with limits, Limit laws, The Squeeze Theorem | 2.7 - 2.13 | Lecture 4 slides |
W 20/05/20 | Continuity, Limit computations | 2.14 - 2.20 | Lecture 5 slides |
F 22/05/29 | IVT, EVT, Definition of derivatives, Differentiation rules | 2.21, 2.22, 3.1 - 3.5, 3.8 | Lecture 6 slides |
W 27/05/20 | Proof of differentiation rules, Chain rule, Trig derivatives, Implicit differentiation | 3.6, 3.7, 3.9 - 3.12 | Lecture 7 slides |
F 29/05/20 | Derivatives of exponentials and logarithms, Related rates, Inverse functions | 3.13 - 3.20, 4.1, 4.2 | Lecture 8 slides |
W 03/06/20 | One-to-one functions, Inverse trig functions, Local extrema | 4.3 - 4.8, 5.1 - 5.4 | Lecture 9 slides |
F 05/06/20 | Rolle's Theorem, Mean Value Theorem, Monotonicity | 5.5 - 5.12 | Lecture 10 slides |
W 10/06/20 | Optimization, Indeterminate forms, L'Hopital's Rule | 6.1 - 6.10 | Lecture 11 slides |
F 12/06/20 | Concavity, Asymptotes, Curve sketching | 6.11 - 6.16 | Lecture 12 slides |