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.
Syllabus: here. Last update: 15 December 2015

Instructor: Steven Heilman, heilman(@-symbol)
Office Hours: Mondays, 9AM-12PM, MS 5634
Lecture Meeting Time/Location: Monday, Wednesday and Friday, 2PM-250PM, Franz 1178
TA: Christian, A., archristian(@-symbol), Hong, P. C.,, Pham, M. H.,
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
Discussion Session Meeting Time/Location:

Recommended Textbook: J. Rogawski, Single Variable Calculus, Third Edition, W.H. Freeman & Co. [If you want to use the second edition, that is acceptable.]
Other Textbooks (not required): Calculus, Thomas. Calculus, Strang
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.
Other Resources: Applets by Flash&Math Videos from another 31A class
Email Policy:

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 UCLA 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.
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. Homework Policy:

Quiz Policy

Grading Policy:

Tentative Schedule: (This schedule may change slightly during the course.)

Week Monday Tuesday Wednesday Thursday Friday
0 Sep 21 Sep 23 Sep 25: Introduction, The Calculus Paradigm
1 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, Trig Functions
4 Oct 19: 3.8, Implicit Differentiation Oct 21: 3.9, Related Rates Oct 23: Midterm #1
5 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
6 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:


Homework Digest

Exam Solutions

Supplementary Notes