Mathematics 131A-1 - Analysis - Spring 2013 - UCLA
Time: 10 MWF for lectures and 10 Tu for discussion.
Place: Lectures: MS 5137. Discussion: MS 5137.
Instructor: Burt Totaro.
E-mail: totaro@math.ucla.edu.
Phone: 323-558-2372.
Course webpage: www.math.ucla.edu/~totaro/131a.1.13s/index.html
Office hours: 11-12 MW and 2:15-3 F in my office, MS 6136,
or e-mail me to make an appointment.
TA: William Rosenbaum (wrosenbaum@math.ucla.edu).
TA office hours: 11-12 Tu in MS 3195B.
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 1-9. The homework listed there
is due each Wednesday, starting with the second week (Wednesday, April 10th).
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 April
22 and May 17. There will be no makeup exams.
Final Exam: The final exam is on Tuesday, June 11, 2013 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
- 4/22 - First midterm exam.
- 5/17 - Second midterm exam.
- 5/27 - Memorial Day Holiday. No class.
- 6/11 - Final exam. The final will be cumulative and will take place
from 8:00 AM to 11:00 AM on Tuesday, June 11.
Evaluation:
- One of the main points of this class is to learn how to write proofs. This is what will be graded on the midterm and final grades. Your proofs should be written neatly, in sentences and paragraphs,
and use reasonably formal English.
- Every exam will include at least one problem taken from the homework,
possibly with minor variations.
- Part of the homework grading will be based simply
on whether you hand in the problems (without copying from someone else).
However, at the top of each homework,
you may mark a problem you wish to be read carefully.
We will read your proof carefully and give you detailed feedback
so that you can get better and better at writing proofs.
- It is your responsibility to know how to do the problems and how to write out proofs. Practicing that is the only way to study for the exams.
- A grade of 'F' will be assigned to any student who misses the final. Incompletes are reserved for those who have completed all of the work for the class, including both midterms,
but who, for a legitimate, documented reason, miss the final.
Miscellanea:
- If you wish to request an accommodation due to a disability, please contact the Office for Students with Disabilities as soon as possible at A255 Murphy Hall,
(310) 825-1501, (310) 206-6083 (telephone device for the deaf). Website: www.osd.ucla.edu.
Catalogue 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.