Mathematics 131A-3 - Analysis - Winter 2018 - UCLA

Time: 1:00 MWF for lectures and 1:00 Tu for discussion.
Place: Lectures and Discussion: MS 5138.

Instructor: Burt Totaro.
Phone: 310-433-7574.
Course webpage:

Office hours: 11-11:50 M and 2-2:50 F in my office, MS 6136, or e-mail me to make an appointment.
TA: Younghak Kwon (
TA office hours: 11-12:50 F in MS 3973.

Book: Kenneth A. Ross, Elementary Analysis: The Theory of Calculus, Springer, ISBN: 0-387-90459-X.

Course Description: This is a first course in mathematical analysis. We will make a rigorous study of the foundations of calculus, including limits, derivatives, and integrals. Proofs and proof technique will be emphasized. See also the course calendar.

Homework 1-8. The homework listed there is due each Tuesday, starting with the second week (Tuesday, January 16th). Assignments will be returned the next Tuesday in discussion. There will be no makeup or late homework accepted, but the lowest two homework grades will be dropped.

Midterm Exams: We will have two midterm exams. The dates are Monday, January 29 and Friday, February 23. There will be no makeup exams.

Final Exam: The final exam is on Friday, March 23, 2018 from 8 AM to 11 AM. You must take the final to pass the class! If you have a documented reason that you are unable to take the final, you will receive an Incomplete.

Course outline: My plan is to cover Sections 1-5, 7-12, 14-15, 17-20, 28-29, and 31-34 in Ross's book. The course calendar has planned dates for each topic.

Grading: Grades will be assigned based on the higher of the following two schemes:
10% homework + 25% first midterm + 25% second midterm + 40% final
10% homework + 35% (best of two midterms) + 55% final Evaluation: Miscellanea: Catalog description: 131A. Analysis. (4) Lecture, three hours; discussion, one hour. Requisites: courses 32B, 33B. Recommended: course 115A. Rigorous introduction to foundations of real analysis; real numbers, point set topology in Euclidean space, functions, continuity.