Math 100: Differential Calculus with Applications
Sections 1A1 & 1A3

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 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).

• Classes: on Wednesdays.
  1. Section 1A1: 08:00-10:00 at ESB 1013.
  2. Section 1A3: 12:00-14:00 at WW IRC 2.
• The default textbook for pre-class reading and after-class practice is the CLP-1 textbook and problem book. That book is designed to track our course and you should try it first. 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],[8]; on the other hand if you choose one of references [3,5,6,10] 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.

Additional resources

1. General questions about the course (course material, math questions, questions about the syllabus or course policies, etc) are best asked on the Piazza discussion forum (your instructor will be active there).
2. Requests about your personal case (grading issues, exemptions, group changes, etc) should be made to the course assistant through the Calculus Contact Form.
   • Exception: If you need accomodations during lecture do contact the instructor by email; attach your accomodation letter from the CfA to this message.
3. The Math Learning Centre is open Monday through Friday.
4. Here are some Common Errors in Undergraduate Mathematics. Avoiding these common pitfalls will improve your grade measurably.

Exams

Final

• The final exam will be held on Saturday, December 16th between 15:30-18:00. MATH 100A students are divided into exam locations by last name, not section, so check the SCC for your individual exam location!
• The department has lots of past final exams posted online that you can use for practice. Here are some tips regarding past exams.
  • Until 2021 what is now MATH 100A,B,C used to be called MATH 100,102,104, so exams from all three courses are relevant. Science-flavoured questions are more likely to be found in past MATH 100 exams, DE questions are more likely to be found in past MATH 102 exams; Multivariable optimization questions may be found in past exams from MATH 105.
  • The topics covered in our course are not identical year-to-year (with a big change last 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 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 – both through their website and at their office in the Math Annex building.
• Additional resources for preparing for the final exam include:
  • The webwork problem sets and the webwork quizzes (both which you can freely retake without risking your existing scores).
  • Problems from the CLP problem book, which has many problems beyond the recommended problems for each week.
  • The practice midterms.
  • Some of the textbooks linked below (especially those of the Schaum series) contain many further problems.
  • On Canvas you can find a document with four-star level problems.
• I will hold review sessions ahead of the exam. The first will take place during last lecture of each section, on Wednesday December 6. The second will be on Thursday, December 14 .
  • For fairness reasons I cannot prepare my own material for such sessions — Instead the session will be entirely based on questions proposed by participants. You can submit problems in advance by email or ask them on the spot.

Course Schedule

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 Logarithmic Differentiation	§2.9 §2.10	WS 5, Soln	1A1 1A3	§2.9 Q1-30 §2.10 Q2,4-6,8-19,21-31
6	W 11/10	Implicit Differentiation Inverse Trig Related Rates	§2.11 §2.12 §3.2	WS 6, Soln	1A1 1A3	§2.11 Q4-15 §2.12 Q6,7,9 §3.2
7	W 18/10	Curve sketching	§3.6	WS 7, Soln	1A1 1A3	§3.6.3 Q1-4; §3.6.6 Q1-10	Curve Sketching Notes
8	W 25/10	Higher degree approximation	§§3.4.1-8	WS 8, Soln	1A1 1A3	§3.4.4 Q1-3; §3.4.5 Q1,2,5,6,9,10
9	W 1/11	Optimization	§3.5	WS 9, Soln	1A1 1A3	§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	1A1 1A3	§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			Keshet 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	1A1 1A3	OIL §1.1 Q1; §1.2 Q4-5 OIL §2.1 Q1-4; §2.2 1-6
13	W 29/11	Multivariable optimization	OIL §§2.3-4	WS 13, Soln	1A1 1A3	OIL §2.3 Q1-17 (do not classify critical points) OIL §2.4 Q1-11,13
14	W 6/12	Review			1A1 1A3
	S 16/12	15:30-18:00 Final Exam	Good luck!

References

1. Ayers, Schaum's Outline of Theory and Problems of Differential and Integral Calculus (all editions and versions are fine).
2. Belevan, Hamidi, Malhotra, and Yaeger, Optimal, Integral, Likely.
3. Boelkins, Austin and Schlicker, Active Calculus.
4. Feldman, Rechnitzer, and Yaeger, CLP-1 Differential Calculus textbook (see also the associated problem book)
5. Fowler and Snapp, Mooculus.
6. Hartman et al, APEX Calculus.
7. Keshet, Differential Calculus for the Life Sciences.
8. Mendelson, Schaum's Outline of Calculus.
9. Spiegel and Moyer, Schaum's Outline of College Algebra (all editions and versions are fine).
10. Stewart, Calculus: Early Transcendentals.

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