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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.
- Section 1A1: 08:00-10:00 at ESB 1013.
- Section 1A3: 12:00-14:00 at WW IRC 2.
- The default textbook for pre-class reading and after-class practice
is the
MATH 100 textbook and practice 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
Do not contact the instructor by email unless
the avenues below have failed
- General questions about the course (course material, math questions,
questions about the syllabus or course policies — prototypically
where other students might benefit from the answer) are best asked on the
Piazza discussion forum
(your instructor will be active there).
- Requests about your personal case (grading issues, exemptions, group issues
— prototypically anything which would require knowing your student
number) should be made to the course assistant through the
Calculus Contact Form.
- Exception: If you need accomodations during lecture
also contact the instructor by email; attach your accomodation letter
from the CfA
to this message.
- You can always ask questions during office hours, either of your
instructor (see above for times and places) or of
any other instructor in the course. If you need to make an appointment contact me
by email.
- The Calculus Common Room,
MATX 1102, is reserved for calculus students 8am-5pm weekdays; most of the
time there will be an instructor holding office hours 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.
Final
- The final exam will be held on Tuesday, December 17th between 8:30-11:00.
MATH 100A students are divided into exam locations by last name,
not section, so check Workday for your individual exam location!
- Just like during the semester, it is best to concentrate on
solving problems rather than on memorizing notes. When you find
a problem you can't solve that's an indictation you should revise on this
particular topic. Sources of problems include:
- The webwork problem sets (which you can freely retake without risking
your existing scores), as well as the group projects and the midterms.
- Problems from the course Practice Book,
which has many problems beyond the recommended problems for each week.
- Some of the textbooks linked below (especially those of the Schaum
series) contain many further problems.
- On Canvas you can find a document with extra-challenging problems.
- Past final exams, discussed in detail next.
- 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, as well as exams from
MATH 180 and 184, which cover the same material.
Physical-science-flavoured questions are more likely to be found in
past MATH 100 and 180 exams, DE and life-science-flavoured
questions are more likely to be found in past MATH 102 exams;
social-science flavoured are more likely to be found in past
MATH 104 and 184 exams; multivariable optimization questions
are more likely to be found in past from MATH 105 exams.
- The topics covered in our course are not identical year-to-year (with
a big change betweem 2021 and 2022), so past exams may 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). Reserve the exams
for this in advance and don't look at them beforehand.
- 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.
- I will hold a
review session
ahead of the exam; the time and place will be annouced here and on Canvas.
- 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.
Midterm exams
- There will be midterm exams in-class on October 9 and November 20.
- Canvas has full
Information about
material and policies. To ensure fairness across the whole of MATH 100,
your instructor cannot answer questions about the material or the
policies beyond referring you to Canvas.
- A practice midterm 1 is available. The best way to use it is, after you've done
most of your studying, to reserve a full hour of study time and do this
exam in as close to exam conditions as possible (no interruptions, no
calculators or opening the textbook). Use the hour to practice managing
your time, checking your answers, and other exam-taking skills.
At the end of the hour compare your answers with the official
solutions posted to the Canvas text page.
Ahead of each class you must read the relevant section from a
textbook of your choice. Section numbers refer to the recommended
MATH100 textbook;
corresponding section numbers in a few other textbooks (refs [2,5,6,10] below)
may be found in this coordination table.
Suggested problems for each lecture are from the associated Practice Book.
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
2
W 11/9
Limits
§2.1
WS 2,
Soln
TeX
1A1
1A3
§2.1 Q1,3-11,16-17
§2.1.1 Q1-6,9-11,15,23,27-28,31,38,41,46,49
§2.1.2 Q1-8,13-15,17-19,27
Evaluate limits in suggested problems using
asymptotic thinking
Asymptotes
Continuity
§2.2
§2.3
§2.2 Q1-2
§2.3 Q1-6,8,11-14
3
W 18/9
Derivatives
Linear approximation
§§3.3-3.5
WS 3,
Soln
TeX
1A1
1A3
§3.3 Q1-5,9,11,13,19-21,26,28,33
§3.4 Q1
§3.5 Q1-6
5
W 2/10
The Chain Rule
Logarithmic Differentiation
§4.3
§4.4
WS 5,
Soln
TeX
1A1
1A3
§4.3 Q1-30
§4.4 Q2,4-6,8-19,21-31
[SC11]
Taylor remainder
WS
Soln
V01
V09
Supplement for small class 11
12
W 20/11
Midterm 2
Newton's Method
Ch. 10
None
1A1
1A3
Ch. 10 Q1-9
Midterm 2
13
W 27/11
Differential Equations
Ch. 11,13
WS 13,
Soln
1A1
1A3
Ch. 11 Q1,2,5,6,8,17,18
Ch. 12 Q5,7-10,12-14,19
17/12
8:30-11:00 Final Exam
Good luck!
- Ayers, Schaum's Outline of Theory and Problems of Differential and Integral Calculus (all editions and versions are fine).
- Belevan, Hamidi, Malhotra, and Yaeger, Optimal, Integral, Likely.
- 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.
- Keshet, Differential Calculus for the Life Sciences.
- Mendelson, Schaum's Outline of Calculus.
- Spiegel and Moyer, Schaum's Outline of College Algebra (all editions and versions are fine).
- Stewart, Calculus: Early Transcendentals.
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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.