# Math 100: Differential Calculus Section 102

Fall Term 2015
Lior Silberman

## General Information

• Office: MATX 1112, 604-827-3031
• Email: "lior" (at) Math.UBC.CA (please include the course number in the subject line, if applicable)
• Office hours: by appointment

This is the page for information specific to section 102. See the course-wide website for details on assessment, textbooks, course policies and the like.

## Final Exam

• The final exam will be held on Wednesday, December 16th between 8:30-11:00 In the SRC.
• You should practice doing past final exams (exams from Math 102,104+184 and 110 are also useful).
• The topics covered in our course are not identical year-to-year, so past exams include problems on topics we haven't covered, and may not include problems on topics we have covered.
• After some revising, it is essential to do at least one such exam under exam conditions: reserve 2.5 hours and work on the exam in a quiet room without using prohibited resources (notes/textbooks/calculators/friends/internet)
• We don't post official solutions to exams. That said, some solutions (and hints!) are available on the Math Exam Resources Wiki. Also, the Undergraduate Math Club sells solutions to some past exams.
• I will hold special office hours ahead of the exam: Dec 10, 14:00-15:30, Dec 11, 10:00-12:00, Dec 14, 12:00-14:00, and Dec 15, 13:00-15:00.

## Course Schedule

"Reading" section references are to the course notes. To see the corresponding section numbers in other texts see the coordination table.

Warning: the following information is tentative and subject to change at any time.

Week Date Material Reading Worksheet Notes Quiz
1 Th 10/9 Introduction
Tangents & Velocity Problems
Limits

§§1.1-1.2
§1.3
WS 1, Soln, Scan
T 15/9 Limit laws §1.4 WS 2, Scan Note on Limits
2 Th 17/9 Continuity §1.6 WS 3, Scan   Quiz 1
T 22/9 Horizontal Asymptotes
The Derivative I
§1.5
§§2.1-2.2
WS 4, Scan
3 Th 24/9 The Derivative II
Product and Quotient Rules
§2.3
§2.4
WS 5, Scan
T 29/9 Derivatives of Polynomials and Exponentials §2.6
§2.7
WS 6, Scan
4 Th 1/10 Trig Functions
The Chain Rule
§2.8
§2.9
WS 7   Quiz 2
T 6/10 (continued)
Inverse functions

§0.6
WS 8, Soln, Scan
5 Th 8/10 Implicit Differentiation
Inverse Trig
§2.11
§2.12
WS 9, Soln, Scan
T 13/10 Logarithms §2.10 WS 10, Soln, Scan
6 Th 15/10 Logarithmic Differentiation
Applications
§2.10
§3.1
WS 11, Soln, Scan CLASS Quiz 3
T 20/10 Exponentials §3.3 WS 12, Soln, Scan Law of cooling problem
7 Th 22/10 Related Rates
Linear Approximation
§3.2
§3.4
WS 13, Soln, Scan
T 27/10 Taylor Polynomials 1 §3.4 WS 14, Soln, Scan Extra notes §1
8 Th 29/10 Taylor Polynomials 2 §3.4 WS 15, Soln, Scan Extra notes §2
Some Taylor expansions
Quiz 4
T 3/11 Minima and Maxima §3.5 WS 16, Soln, Scan
9 Th 5/11 MVT §2.13 WS 17, Soln, Scan Proving an Inequality
T 10/11 (continued)
Shape of the graph
§3.6 WS 18, Scan For solutions see WS 17 above
10 Th 12/11 Curve Sketching §3.6 sketching notes, Scan   Quiz 5
T 17/11 (continued) §3.6 Problems, Scan
11 Th 19/11 Optimization §3.5 WS 21, Soln, Scan Snell's Law
T 24/11 l'Hôpital's rule §3.7 WS 22, Soln, Scan More l'Hôpital examples
12 Th 26/11 Antiderivatives §4.1 WS 23, Soln, Scan   Quiz 6
T 1/12 (continued) (same) (same WS), Scan
13 Th 3/12 Review
W 16/12 Final Exam: 8:30am at the SRC

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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.