## Math 100 — Section 109Differential Calculus with Applications to Physical Sciences and Engineering

Instructor: Yaniv Plan
Office: 1219 Math Annex
Email: yaniv (at) math (dot) ubc (dot) ca

Lectures: TTh 9:30-11:00, LSK 200.

Office hours: MW 3:30pm-4:30pm, MATX 1219 Th 5:00pm-6:00pm, MATX 1118

Main course webpage:Â https://canvas.ubc.ca/courses/45798 (A lot of important information here.)

Worksheets: Schedule is tentative. Worksheets (created by Lior Silberman) and solutions will be put up after class.

Week Date Material Reading In-class Notes
1 Th 5/9 Introduction
Tangents & Velocity Problems
Limits
1.1-1.2
1.3
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T 10/9 Limit laws 1.4 WS 2,
Soln
Note on Limits
2 Th 12/9 Limits at infinity
Continuity
1.5
1.6
WS 3,
Soln
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T 17/9 (continued)
The Derivative I
1.6
2.1-2.2
WS 4,
Soln
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3 Th 19/9 The Derivative II
Product and Quotient Rules
2.3
2.4
WS 5,
Soln
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T 24/9 Derivatives of Polynomials and Exponentials 2.6-7 WS 6,
Soln
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4 Th 26/9 Trig Functions
The Chain Rule
2.8
2.9
WS 7,
Soln
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T 1/10 (continued)
Inverse functions
0.6 WS 8,
Soln
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5 Th 3/10 Logarithms 2.10 WS 9,
Soln
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T 8/10 Implicit Differentiation
Inverse Trig
2.11
2.12
WS 10,
Soln
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6 Th 10/10 Applications 3.1 WS 11,
Soln
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T 15/10 Exponential growth and decay 3.3 WS 12,
Soln
Law of cooling problem
7 Th 17/10 Related Rates 3.2 WS 13,
Soln
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Midterm exam Â  Â  Â
T 22/10 Taylor Polynomials 1 3.4 WS 14,
Soln
Extra notes 1
8 Th 24/10 Taylor Polynomials 2 3.4 WS 15
, Soln
Extra notes 2
Some Taylor expansions
T 29/10 Minima and Maxima 3.5 WS 16,
Soln
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9 Th 10/31 MVT 2.13 WS 17,
Soln
Proving an Inequality
T 5/11 (continued)
Shape of the graph
3.6 WS 18, WS solutions are with WS 17 above
10 Th 7/11 Curve Sketching 3.6 sketching notes Â
T 12/11 (continued) 3.6 Problems Â
11 Th 14/11 Optimization 3.5 WS 21,
Soln
Snell’s Law
T 19/11 l’H pital’s rule 3.7 WS 22,
Soln
More l’H pital examples
12 Th 21/11 Antiderivatives 4.1 WS 23,
Soln
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T 26/11 Review Review Review Â
13 Th 28/11 Review Â  Â  Â
Â  TBA Final Exam: TBA Â  Â  Final exams from previous years. And solutions.

Resources: