MAT137 Calculus! L0501

Lecturer: Qin Deng

E-mail: qin.deng@mail.utoronto.ca

Class Time: MWR4-5 @ MP202

Office Hours: W5-7 @ PG003



Homework for R 07/12/17: None


News: Problem set 5 has been posted on course website. It is due January 7th.

News: Proof clinic opens week of September 25th. You can find a list of 20 practice proof problems on the course website under the resources section.



Unit 6: Applications of derivatives

Date Topic Videos Slides Textbook section
M 27/11/17 Limits at infinity - Lec 6.1 slides -
W 29/11/17 L’Hopital’s Rule - Lec 6.2 slides 11.5
R 30/11/17 L’Hopital’s Rule - Lec 6.3 slides 11.6
M 04/12/17 Concavity - Lec 6.4 slides 4.1
W 06/12/17 Asymptotes - Lec 6.5 preslides 4.2, 4.4
R 07/12/17 Graphing - - 4.5



Unit 5: Mean Value Theorem and applications
Date Topic Videos Slides Textbook section
M 13/11/17 Related rates 5.1 Lec 5.1 slides 4.10
W 15/11/17 Local extrema 5.2, 5.3, 5.4 Lec 5.2 slides 4.3, 4.4
R 16/11/17 Rolle’s Theorem 5.5, 5.6 Lec 5.3 slides 4.1
M 20/11/17 MVT 5.7, 5.8, 5.9 Lec 5.4 slides 4.1
W 22/11/17 Increasing and decreasing 5.10, 5.11, 5.12 Lec 5.5 slides 4.2, 4.4
R 23/11/17 Applications to optimization - Lec 5.6 slides 4.5



Unit 4: Inverse functions

Date Topic Videos Slides Textbook section
M 30/10/17 Functions and inverses 4.1, 4.2 Lec 4.1 slides 7.1 (partially)
W 1/11/17 When do inverses exist? Properties of inverses 4.3, 4.4, 4.5 Lec 4.2 slides 7.1 (partially)
R 2/11/17 Inverse trig functions 4.6, 4.7, 4.8 Lec 4.3 slides 7.7



Unit 3: Derivatives

Date Topic Videos Slides Textbook section
M 16/10/17 Definition of derivatives 3.1, 3.2, 3.3 Lec 3.1 slides 3.1, 3.3, 3.4
W 18/10/17 Differentiation rules 3.4, 3.5 Lec 3.2 slides 3.2
R 19/10/17 Proof of differentiation rules 3.8, 3.6, 3.7 Lec 3.3 slides 3.2, 3.3
M 23/10/17 Chain rule 3.9, 3.10 Lec 3.4 slides 3.5
W 25/10/17 Trigonometric derivatives, Implicit differentiation 3.11, 3.12 Lec 3.5 slides 3.6, 3.7
R 26/10/17 Exponentials and logarithms 3.13 - 3.18 Lec 3.6 slides -



Unit 2: Limit and Continuity

Date Topic Videos Slides Textbook section
R 21/09/17 Inequalties, Absolute values 2.4 Lec 7 slides 1.3
M 25/09/17 Intuitive idea of a limit 2.1, 2.2, 2.3 Lec 8 slides 2.1
W 27/09/17 Definition and proof of limits 2.5, 2.6, 2.7 Lec 9 slides 2.2
R 28/09/17 Definition and proof of limits 2.8 Lec 10 slides, Proof from class 2.2
M 2/10/17 Limits not existing, Limit laws 2.9, 2.10 Lec 11 slides 2.3
W 4/10/17 Squeeze theorem, Continuity 2.11, 2.12, 2.13 Lec 12 slides 2.5, 2.4
R 5/10/17 Continuity theorems, Behaviour of limits under composition 2.14, 2.15 Lec 13 slides, Theorem from class, Sample student solution w/ comments 2.4
W 11/10/17 Discontinuity, Computations 2.16, 2.17, 2.18 Lec 14 slides 2.5
R 12/10/17 IVT, EVT 2.19, 2.20 Lec 15 slides 2.6



Unit 1: Set Theory and Logic

Date Topic Videos Slides Textbook section
R 07/09/17 Introduction - Lec 1 slides -
M 11/09/17 Sets, Quantifiers 1.1, 1.2, 1.3 Lec 2 slides -
W 13/09/17 Quantifiers, Negation 1.4, 1.5, 1.6 Lec 3 slides -
R 14/09/17 Conditionals, Negation 1.7, 1.8, 1.9 Lec 4 slides -
M 18/09/17 Definitions, Proofs 1.10, 1.11, 1.12, 1.13 Lec 5 slides -
W 20/09/17 Induction 1.14, 1.15 Lec 6 slides -