Math 31B: Integration and Infinite Series

General Information

Time and Place: MWF 11 am-11:50 am, WGYOUNG CS50

Instructor: Matthias Aschenbrenner

E-mail address:    (I will not answer questions by e-mail. E-mail should only be used to make an appointment.)


Mathematical Sciences Building 5614
Office Phone: 310-206-8576
Office Hours: M 1 pm-2 pm, W 10 am-10:50 am, or by appointment.    (I will not hold 'virtual' office hours.)

Discussion Sections and Teaching Assistants: See here.

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The following document contains all crucial information about this course- it is mandatory for each student in this class to read it carefully.

Handout     Handout.                 


You are responsible for reading the textbook. I highly recommend studying the relevant section(s) before each lecture so that you are in a good position to ask questions about anything that was unclear. See the handout for a detailed description of what we'll cover when.

Course Text

Single Variable Calculus, by Jon Rogawski, W. H. Freeman and Company, New York.

Single Variable Calculus

Class Meetings

This course meets for lecture three days a week and for discussion section one day a week (four times total). I will conduct lectures on Monday, Wednesday, and Friday. Please feel free to ask questions in lecture, though preferably none regarding homework problems. Please turn off all cell phones, pagers, and other electronic devices before the lecture.

On Tuesdays or Thursdays your TA will lead a discussion section where he or she can answer any questions, and homework problems can be discussed. The TAs will also help with those problems during their office hours.

Questions concerning homework problems and the course material should first be addressed to the TAs, and then to me, if further clarification seems necessary. Questions concerning grading should be primarily addressed to me, and not the TAs.


There will be a problem set assigned in lecture on Friday every week, and  collected during lecture the following Friday. Homework is due no later than 5 minutes after the beginning of lecture on each Friday.

No late homework will be accepted.

However, your lowest homework score will be dropped when computing your grade.  Homework will be returned the following week in discussion section. The problems will range in difficulty from routine to more challenging. You may work together on the exercises, but any graded assignment should represent your own work.

Put the following information in the upper right hand corner of the first page:

Your Name (first and last)

Date, homework assignment number

TAs name, time and number of discussion section (1a-1f)

On each additional page, put your name in the upper right-hand corner. Work single-sided, i.e., write on only one side of each sheet of paper. STAPLE homework that is more than one page long. Remove all perforation before submitting. Write legibly. Label the chapter + section number as well as the problem number (e.g., 7.2 #2).

Homework that fails to meet the above requirements will be marked "Unacceptable'' and returned unread.

Homework Assignments

Homework due
Chapter, Section and Problem Number
Friday, April 1
7.1, #11, 15, 19, 21, 23, 25, 55, 57, 59, 74; 7.2, #1, 2, 9, 13, 27, 28, 32; 7.3, #23, 32, 47, 79, 80, 93;
Friday, April 8
7.4, #8, 9, 27; 7.5, #25, 26; 7.6, #2, 3; 7.7, #2, 4, 8, 9, 17, 18, 32, 48
Friday, April 22
8.1, #1, 2, 29; 8.2, #1, 2, 7, 8, 15, 16, 55, 64; 8.3, #1, 8, 9, 28, 39, 41, 62; 8.4, #1, 2, 3, 4, 5, 8, 14, 15
Friday, April 29
8.5, #1, 2, 4, 10, 11, 14; 8.6, #3, 13, 16, 47, 48, 65, 67; 9.1, #3, 4, 5, 7, 20; 9.2, #1, 6
Friday, May 13
9.4, #1, 4, 6, 19, 29, 32, 49; 11.1, #4, 14, 19, 22, 39, 40, 63; 11.2, #9, 11, 13, 17, 24, 33, 38, 41 
Friday, May 20
11.3, #4, 15, 20, 30, 32, 40, 41, 48, 53; 11.4, #3, 6, 10, 20, 22, 25, 28
Friday, May 27
11.5, #10, 16, 21, 23, 37, 43, 51, 52; 11.6, #1, 2, 3, 5, 6, 7, 9, 14, 27, 32, 38;
Friday, June 3
11.7, #2, 7, 8, 14, 31, 34, 73

Exams and Grades

There will be two midterm examinations, on Friday, April 15 and Friday, May 6, each during class time (11:00 am-11:50 am).

For the midterms: if your last name starts with one of the letters A-L, you will take the exam in your regular classroom WGYOUNG CS50; if your last name starts with one of the letters M-Z, go to HUMANITIES A51.

There will be a final exam on Wednesday, June 8, 3 pm-6 pm, location to be announced.

No make up exams will be given under any circumstances.

For each exam, you must bring a picture ID. No books, calculators, scratch paper or notes will be allowed during exams.

Your final grade will be based on the following: 10 % for homework, 25 % for each midterm, 40 % for final.

Letter grades will be assigned according to the departmental guidelines for Math 31B. Letter grades will only be assigned for your final grade in this course.

Students are expected to be thoroughly familiar with the UCLA policy on academic integrity. UCLA has instituted serious penalties for academic dishonesty. Copying work to be submitted for grade, or allowing your work to be submitted for grade to be copied, is considered academic dishonesty. Here, 'copying' does not only refer to producing verbatim copies, but includes slightly adapting and submitting material originally due to someone else.

All scores and final grades will be available on the MyUCLA gradebook.

Achtung!    Click here for a small collection of sample midterm and final exams for Math 31B.

Additional Assistance

Besides the office hours (by the instructor and the TAs), starting Wednesday, March 30, additional help is available Monday-Thursday, 10:00 am-3:00 pm in the Student Math Center located in MS 3974, where undergraduate math majors as well as math graduate students will be able to help you. The SMC offers free, individual and group tutoring for all lower division math courses.  This service is available on a walk-in basis; no appointment is necessary.  Students may ask any of the TAs in attendance for assistance with math problems.

Other tutoring resources inclue:

Historical Information

Click here for a brief history of calculus, and below to learn more about some of our calculus heroes:

 Archimedes of Syracuse
 Jacob Bernoulli
 Johann Bernoulli
 Augstin Louis Cauchy
 Rene Descartes
 Leonhard Euler
 Pierre de Fermat
 Guillaume de l'Hopital
 Gottfried Wilhelm von Leibniz
 Sir Isaac Newton
 Brook Taylor

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