This is the page for information specific to sections 1A1 and 1A3 of MATH 100; See the Canvas page for course-wide information (assessments, course policies, and the like) including the link to the online homework (WeBWorK).
Ahead of each class you must read the relevant section from a textbook of your choice. For weeks 2-7 the quoted section numbers are for the recommended CLP-1 textbook; corresponding section numbers in a few other textbooks (refs [2,5,6,10] below) may be found in this coordination table. For weeks 1,8,9 there is also reading from the book [7] below; for weeks 10,11 the suggested reading is from the book [2]. Suggested problems for each lecture are from the same book as the suggested reading (CLP and OIL have a separate problem book but it is available at the same link).
Warning: the following information is tentative and subject to change at any time
Week | Date | Material | Reading | Worksheet | Document Camera |
Suggested practice | Notes |
---|---|---|---|---|---|---|---|
0 | Video | Welcome & Motivation | — | Slides | |||
1 | W 6/9 | Asymptotics | Keshet Ch. 1 | WS 1, Soln | 1A1 1A3 | ||
2 | W 13/9 | Limits Asymptotes |
§§1.3-1.4 §1.5, §3.6.1 |
WS 2, Soln | 1A1 1A3 | §1.3 Q1-17 §1.5 Q1-8,13-15,17-19,27 §3.6.1 Q1,4,6 |
Evalute limits in suggested problems using asymptotic thinking |
3 | W 20/9 | Derivatives Linear approximation |
§§2.2-2.3 §3.4.2 |
WS 3, Soln | 1A1 1A3 | §2.2 Q1-5,9,10,12,18,26 §2.3 Q1-7 §3.4.2 Q1,5 |
|
4 | W 27/9 | Calculating derivatives | §2.4 | WS 4, Soln | 1A1 1A3 | §2.4 Q7-10,13,15,16 | |
5 | W 4/10 | The Chain Rule Implicit Differentiation |
§2.9 §2.10 |
WS 5, Soln | §2.9 Q1-30 §2.10 Q2,4-6,8-19,21-31 |
||
6 | W 11/10 | Logarithmic Differentiation Inverse Trig |
§2.11 §2.12 |
WS 6, Soln | §2.11 Q4-15 §2.11 Q6,7,9 |
||
7 | W 18/10 | Curve sketching | §3.6 | WS 6, Soln | §3.6.3 Q1-4; §3.6.6 Q1-10 | Curve Sketching Notes | |
8 | W 25/10 | Higher degree approximation | §3.4 | WS 8, Soln | §3.4.4 Q1-3; §3.4.5 Q1,2,5,6,9,10 | ||
9 | W 1/11 | Optimization | §3.5 | WS 9, Soln | §3.5.1 Q1-7 §3.5.2 Q2,4,5 §3.5.2 Q1-15 |
Related rates/Optimization Advice | |
10 | W 8/11 | Differential Equations | CLP §3.3 Keshet §12.1, Ch. 13 |
WS 10, Soln | §3.3.1 Q1-5; §3.3.2: Q1,4,9 §3.3.3 Q1-6; §3.3.4: Q1,2,4-8 |
||
11 | Video Th 16/11 |
Numerical Computation: Euler's Method Newton's Method |
Keshet §12.3 CLP Appendix C |
Q 12.25, 12.26, 12.27 | |||
12 | W 22/11 | Multivariable sketching Multivariable differentiation |
OIL §§1.1-3 OIL §§2.1-2 |
WS 12, Soln | §1.1 Q1; §1.2 Q4-5 §2.1 Q1-4; §2.2 1-6 |
||
13 | W 29/11 | Multivariable optimization | OIL §§2.3-5 | WS 13, Soln | §2.3 Q1-17 (do not classify critical points) §2.4 Q1-11,13; §2.5 Q1-19 |
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TBA | Final Exam | Good luck! |
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Clarification: the writings on these pages are generally my own creations (to which I own the copyright), and are made available for traditional academic reuse. If you wish to republish substantial portions (including in "derivative works") please ask me for permission. The material is expressly excluded from the terms of UBC Policy 81.