Math 100: Differential Calculus
Sections V01 & 109

Fall Term 2021

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 (Fall 2024): after class (W 10:00-10:30 at the ESB atrium, W 14:00-14:30 at WW IRC Atrium), M 10:30-11:30 in my office, and by appointment.

This is the page for information specific to sections V01 & 109. See the Canvas page for information on assessment, course policies, and the like, including the link to the online homework (WeBWorK) and the syllabus.

Classes: TTh 8:00-9:30 (section V01), 9:30-11:00 (section 109), both at MATH 100.
The default textbook for pre-class reading and after-class practice (offline homework) is the CLP-1 textbook and problem book. That said, there are many good textbooks in the field -- see the References section below for a small selection of free and commercial textbooks. Your instructor is partial to [1],[6]; on the other hand if you choose one of references [2,4,5,8] you may consult the comparison table detailing which section numbers in those books correspond to the course topics.
The Lecture-by-lecture schedule below contains pre-class reading information, worksheets and more.
There are two kinds of homework:
1. On-line homework (WeBWorK), which you can access through the Canvas page of the course;
2. Off-line homework (not for submission), consisting of the representative problem sets in the CLP Problem Book. Doing as many practice problems as possible is essential for success in the course.

Additional resources

TA office hours: Tuesdays 13:30-15:30 ORCH 361.
The Math Learning Centre is open Monday through Friday.
Here are some Common Errors in Undergraduate Mathematics. Avoiding these common pitfalls will improve your grade measurably.
UBC's Math Exam Resources has some solutions to problems from past final exams with the problem sorted by topic.

Exams

The final exam will be held on Friday, December 15th between 8:30-11:00. Our section is writing it in the Osborne Gym.
You should practice doing past final exams (exams from MATH 102,104 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 or two such exams (especially the practice final if available) 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 solution to past exams in general, but some solutions (and hints!) are available on the Math Exam Resources Wiki. Also, the Undergraduate Math Society sells solutions to some past exams.
There will be a midterm exam in-class on Thursday, November 4. A practice midterm is available. There are also a couple of practive exams in this old course page and past final exams on the department website. The midterm includes all material listen in the course syllabus for weeks 1-6 (regardless of when the material was covered in our section).

Course Schedule

Ahead of each class you must read the relevant section from a textbook of your choice. The quoted section numbers are for the recommended CLP-1 textbook; corresponding section numbers in a few other textbooks (refs [2,4,5,8] below) may be found in this coordination table.

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

Week	Date	Material	Reading	In-class	Recap	Notes
1	Th 9/9	Introduction Limits	— §§1.1-3	Slides WS 1, Soln	Scans: V01 109 Video: on Canvas
1	T 14/9	Limit laws	§1.4	WS 2, Soln	Scans: V01 109 Video: on Canvas	Note on Limits
2	Th 16/9	Recorded Lecture: Limits at infinity The extended sense	§1.5	WS 3, Soln	Scan: Scan Video: on Canvas	In-person lecture cancelled
2	T 21/9	Continuity	§1.6	WS 4, Soln	Scans: V01 109 Video: on Canvas
3	Th 23/9	The IVT	§1.6	WS 5, Soln	Scans: V01 109 Video: on Canvas
3	T 28/9	The Derivative	§§2.1-3	WS 6, Soln	Scans: V01 109 Video: on Canvas
4	T 5/10	Computing Derivatives	§2.4, §2.6	WS 7 Soln	Scans: V01 109 Video: on Canvas
4	Th 7/10	Exponential and trig functions	§§2.7-8	WS 8, Soln	Scans: V01 109 Video: on Canvas
5	T 12/10	The Chain Rule Inverse functions	§2.9	WS 9, Soln	Scans: V01 109 Video: on Canvas
5	Th 14/10	Logarithms Implicit Differentiation	§2.10 §2.11	WS 10, Soln	Scans: V01 109 Video: on Canvas
6	T 19/10	Inverse Trig Related Rates	§2.11 §3.2	WS 11, Soln	Scans: V01 109 Video: on Canvas	Related rates/Optimization Advice
6	Th 21/10	(continued) Exponential growth and decay	§3.2 §3.3	WS 12, Soln	Scans: V01 109 Video: on Canvas	Law of cooling problem
7	T 26/10	MVT	§2.13	WS 13, Soln	Scans: V01 109 Video: on Canvas	Proving an Inequality
7	Th 28/10	Taylor Polynomials	§3.4	WS 14, Soln	Scans: V01 109 Video: on Canvas	Extra notes §1
8	T 2/11	Taylor Remainder	§3.4	WS 15, Soln	Scans: V01 109 Video: on Canvas	Extra notes §2 Some Taylor expansions
	Th 4/11	Minima and Maxima	§3.5	WS 16, Soln	Scans: V01 109 Video: on Canvas
	Th 4/11	Midterm exam
9	T 9/11	Optimization	§3.5	WS 17, Soln	Scans: V01 109 Video: on Canvas	General Advice Snell's Law
9	T 16/11	Midterm review Shape of the graph	§3.6	MT Review WS 18, Soln	Scans: V01 109 Video: on Canvas
10	Th 18/11	Curve Sketching	§3.6	Problems	Scans: V01 109 Video: on Canvas	sketching notes
10	T 23/11	l'Hôpital's rule	§3.7	WS 20, Soln	Scans: V01 109 Video: on Canvas	More l'Hôpital examples
11	Th 25/11	Antiderivatives	§4.1	WS 21, Soln	Scans: V01 109 Video: on Canvas
11	T 30/11	Review 1			Scans: V01 109 Video: on Canvas
12	T 2/12	Review 2			Scans: V01 109 Video: on Canvas
12	T 7/12	Review 3			Scans: V01 109 Video: on Canvas
	Wed 15/12	Final Exam: 8:30am

References

Ayers, Schaum's Outline of Theory and Problems of Differential and Integral Calculus.
Boelkins, Austin and Schlicker, Active Calculus.
Feldman, Rechnitzer, and Yaeger, CLP-1 Differential Calculus textbook (see also the associated problem book)
Fowler and Snapp, Mooculus.
Hartman et al, APEX Calculus.
Mendelson, Schaum's Outline of Calculus.
Spiegel and Moyer, Schaum's Outline of College Algebra.
Stewart, Calculus: Early Transcendentals.

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Math 100: Differential Calculus Sections V01 & 109