Math 100: Differential Calculus with Applications
Fall Term 2022
- 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 (Winter 2022): by appointment or
|Time||Location||Zoom Meeting ID||Zoom Password
|MF 11:30-12:30||My office and Zoom||691 7826 7667||761818|
|Wed 21:30-22:30||Zoom only||682 2985 1665||155350|
This is the page for information specific to section 1C3 of MATH 100;
Canvas page for course-wide
information such as on assessments, course policies, and the like,
including the link to the online homework (WeBWorK).
- Classes: Th 14:00-15:50 at WW IRC 2.
- The default textbook for pre-class reading and after-class practice
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 ,; 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.
- Administrative questions about the course should be directed to the
course assistant through the Calculus Contact Form.
- Questions about the material are best asked on the Piazza discussion forum
(your instructor will be active there).
- 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.
- The final exam will be held on Friday, December 16th between 15:30-18:00.
MATH 100C 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
- 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. Economics-flavoured
questions are more likely to be found in past MATH 104 exams,
DE questions are more likely to be found in past MATH 102
exams; some Taylor expansion and Newton's method questions are more
likely to found in past MATH 100 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
even more variation this year), so past exams include problems on
topics we haven't covered, and may not include problems on topics we
- After some revising, it is essential to do at least one or two such
under exam conditions: reserve 2.5 hours and work on the exam
in a quiet room without using prohibited resources
- 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 (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 problems.
- I will hold a special review session on Thursday, December 15 between 11:00-13:00 in MATX 1100.
- 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.
Ahead of each class you must read the relevant section from a
textbook of your choice. For weeks 1-7 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.
For weeks 1,8,9 there is also reading from the book Differential Calculus for the Life Sciences
by Prof. Leah Edelstein-Keshet.
For weeks 10,11 the suggested reading is from the book Optimal, Integral, Likely by Belevan et al.
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
||Welcome & Motivation
Keshet Ch. 1
|Evalute limits in suggested problems
using asymptotic thinking
||The Chain Rule
||Higher degree approximation
||§3.4.4 Q1-3; §3.4.5 Q1,2,5,6,9,10
§3.6.3 Q1-4; §3.6.6 Q1-10
|Curve Sketching Notes
|Related rates/Optimization Advice
||Keshet Ch. 11-12
||§3.3.1 Q1-5; §3.3.2: Q1,4,9
§3.3.3 Q1-6; §3.3.4: Q1,2,4-8
||Q 12.25, 12.26, 12.27
||§1.1 Q1; §1.2 Q4-5
§2.1 Q1-4; §2.2 1-6
||§2.3 Q1-17 (do not classify critical points)
§2.4 Q1-11,13; §2.5 Q1-19
||Final Exam 15:30pm
- 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.