MAT137 Calculus! Summer 2020 L0101

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