Course: MATH 31A, Differential and Integral Calculus, Lecture 4, Fall 2015
Prerequisite: Successful completion of Mathematics Diagnostic Test or course 1 with a grade of C- or better.
Course Content: Differential calculus and applications; introduction to integration, optimization, Newton's Method, volumes.
Last update: 15 December 2015
Instructor: Steven Heilman, heilman(@-symbol)ucla.edu
Office Hours: Mondays, 9AM-12PM, MS 5634
Lecture Meeting Time/Location: Monday, Wednesday and Friday,
2PM-250PM, Franz 1178
TA: Christian, A., archristian(@-symbol)ucla.edu, Hong, P. C.,
firstname.lastname@example.org, Pham, M.
TA Office Hours: Christian, A., Tuesdays and Thursdays,
2PM-3PM, MS 3969, Hong, P. C., Tuesdays 11AM-12PM, MS 6221, Pham
M. H., Tuesdays and Thursdays 1PM-2PM, MS 3955
Recommended Textbook: J. Rogawski, Single Variable Calculus,
Third Edition, W.H. Freeman & Co. [If you want to use the
second edition, that is acceptable.]
- 3A, Tuesday, 2PM-250PM, MS 5127, Christian, A. http://www.math.ucla.edu/~archristian/teaching/31a-f15.html
- 3B, Thursday, 2PM-250PM, Boelter 5422, Christian, A. http://www.math.ucla.edu/~archristian/teaching/31a-f15.html
- 3C, Tuesday, 2PM-250PM, MS 5117, Hong, P. C.
- 3D, Thursday, 2PM-250PM, MS 5117, Hong, P. C.
- 3E, Tuesday, 2PM-250PM, PAB 1749, Pham, M. H. http://www.math.ucla.edu/people/grad/minhrose
- 3F, Thursday, 2PM-250PM, PAB 1749 Pham, M. H. http://www.math.ucla.edu/people/grad/minhrose
Other Textbooks (not required): Calculus, Thomas. Calculus,
First Midterm: Friday, October 23rd, 2PM-250PM, Moore 100
Second Midterm: Friday, November 13th, 2PM-250PM, Moore 100
Final Exam: Monday, December 7th, 8AM-11AM, Moore 100
The Student Math Center in MS 3974 offers group study and
tutorials. See their schedule here.
Applets by Flash&Math
Videos from another 31A class
Exam Procedures: Students must bring their UCLA ID cards to the
midterms and to the final exam. Phones must be turned off. Cheating on
an exam results in a score of zero on that exam. Exams can be
regraded at most 15 days after the date of the exam. This policy extends
to homeworks as well. All students are expected to be familiar with the
Student Guide to Academic Integrity. If you are
an OSD student, I would encourage you to discuss with me ways that I can
improve your learning experience; I would also encourage you to
contact the OSD office to confirm your exam arrangements at the
beginning of the quarter.
- My email address for this course is heilman(@-symbol)ucla.edu
- It is your responsibility to make sure you are receiving emails from
, and they are not being sent to your spam folder.
- Do NOT email me with questions that can be answered from the
- Homework questions sent to me by email will be answered altogether in the form of a
"digest." I will get to every question, but I cannot reply to every email. This digest
will be sent out typically two days before the homework is due.
Exam Resources: Here is a
page containing old exams for another 31A class. Here is another page
containing old exams from a 31A class.
Here is another page containing old exams
for a similar calculus course. Occasionally these exams will cover
slightly different material than this class, or the material will be in a slightly
different order, but generally, the concepts should be close if not identical.
- Late homework is not accepted.
- If you still want to turn in late homework, then the number of minutes it is late will be deducted from the score.
(The estimate of the number of minutes is not guaranteed to be accurate.)
- You may not use the internet to try to find the answers to homework problems.
- The lowest two homework scores will be dropped. This policy is meant
to account for illnesses, emergencies, etc.
- Do not submit homework via email.
- There will be 8 homework assignments, assigned weekly on Friday and turned
in at the beginning of class on the following Friday. (Exception: in the ninth week, homework is due on Wednesday,
and during quiz weeks, homework is not turned in; see the quiz policy below.)
- A random subset of the homework problems will be graded each week. However, it is strongly recommended that you
try to complete the entire homework assignment.
- Collaboration on homeworks is allowed and encouraged.
- All homework assignments must be written by you, i.e. you cannot copy someone else's solution verbatim.
- Label your homework with the lecture number and the discussion
- Homework solutions will be posted on Saturday after the homework is turned in.
- Reading the syllabus counts as one homework grade. In order to receive credit
for reading the syllabus, you
must read the syllabus by October 2, noon, PST.
- There will be four quizzes, administered in the second, third, fifth and sixth weeks of class.
In the second, third, fifth and sixth weeks of class, the homework will not be turned in, and instead,
the quiz will count for the homework grade. The problems from the quiz will closely resemble or be
identical to problems from the homework from that particular week.
- Quizzes will be administered in your discussion section, which is on either
Tuesday or Thursday. Each quiz should last about 15 minutes.
- The final grade is weighted as the larger of the following two schemes. Scheme 1: homework (15%), the
first midterm (20%), the second midterm (25%), and the final (40%).
Scheme 2: homework (15%), largest
midterm grade (35%), final (50%).
The grade for the semester will be curved. However, anyone who exceeds my
expectations in the class by showing A-level performance on the exams and
homeworks will receive an A for the class.
- We will use the MyUCLA
- If you cannot attend one of the exams, you must notify me within the first two weeks of the start of the quarter. Later requests
for rescheduling will most likely be denied.
- You must attend the final exam to pass the course.
Tentative Schedule: (This schedule may change slightly during the
|Week|| Monday || Tuesday || Wednesday || Thursday
|| Friday |
||Sep 25: Introduction, The Calculus Paradigm|
||Sep 28: 2.3,2.4, Limit Laws, Continuity||
||Sep 30: 2.5, Evaluating Limits
||Oct 2: Homework 1 due. Read the Syllabus. 2.6,2.7, Trigonometric Limits, Limits at Infinity|
|2||Oct 5: 2.8, Intermediate Value Theorem||Quiz in section
||Oct 7: 3.1, Definition of Derivative||Quiz in section
||Oct 9: Homework 2 (ungraded). 3.2, The Derivative as a Function|
|3||Oct 12: 3.3, Product and Quotient Rules
||Quiz in section
||Oct 14: 3.7, The Chain Rule
||Quiz in section
||Oct 16: Homework 3 (ungraded). 3.5, 3.6, Higher Derivatives,
||Oct 19: 3.8, Implicit Differentiation
|| Oct 21: 3.9, Related Rates
||Oct 23: Midterm #1
||Oct 26: 4.1, Linear Approximation
||Quiz in section
||Oct 28: 4.2, Extreme Values
||Quiz in section
||Oct 30: Homework 4 (ungraded). 4.3, Mean Value Theorem|
||Nov 2: 4.4, The Shape of a Graph
||Quiz in Section
||Nov 4: 4.5, Graph Sketching
||Quiz in Section
||Nov 6: Homework 5 (ungraded), 4.6, Applied Optimization|
|7||Nov 9: 4.7, 5.1, Newton's Method, Area||
||Nov 11: no class||
||Nov 13: Midterm #2|
|8||Nov 16: 5.2, The Definite Integral||
||Nov 18: 5.3, The Indefinite Integral||
||Nov 20: Homework 6 due. 5.4, Fundamental Theorem I|
|9||Nov 23: 5.5, Fundamental Theorem II||
|| Nov 25: Homework 7 due. 5.7, The Substitution Method ||
||Nov 27: No class|
|10||Nov 30: 6.1,6.2, Areas Between Curves, Average Value
||Dec 2: 6.3, Volumes of Revolution
||Dec 4: Homework 8 due. 6.4, Method of Cylindrical Shells|
Advice on succeeding in a math class:
- Review the relevant course material before you come to lecture.
course material a week or two before the semester starts.
- When reading mathematics, use a pencil and paper to sketch the
calculations that are performed by the author.
- Come to class with questions, so you can get more out of the
lecture. Also, finish your homework at
least two days before it is due, to alleviate deadline stress.
- Write a rough draft and a separate final draft for your homework.
This procedure will help you catch mistakes.
- If you are having difficulty with the material or a particular homework problem, review Polya's
Strategies, and come to office hours.