Math 131A - Analysis
Lecture 2
Winter 2011
| Instructor: |
Calin Martin |
| Lectures: |
Time: MWF 12:00 PM-12:50 PM, Location: MS 6229
|
| Discussion Section: |
Time: T 12:00 PM-12:50 PM, Location: MS 6229
|
| Office: |
MS 6913 |
| Phone: |
(310) 825-4314 |
| Email: |
cmartin(at)math.ucla.edu |
| Office Hours: |
M 11:00AM-12:00PM, W 4:00PM-5:00PM |
Material: We will cover Sections 1 - 34 of the book, excluding the
starred (*) sections. Mathematical rigor will be emphasized. The aim of this course is to learn how to formulate and write a correct mathematical proof.
At the end of the course you should be able to derive every theorem in the course (with a few clearly indicated exceptions),
from the axioms for the real numbers given in the first chapter.
Exams:
- Midterm 1: Friday, January 28, 12:00-12:50 PM (in class).
- Midterm 2: Monday, February 28, 12:00-12:50 PM (in class).
- Final: Tuesday, March 15, 11:30 AM-2:30 PM. Location: TBA
Note: No makeups are allowed for the midterms and for the final examinations. In order to pass the class you must take the final exam. If you should miss a midterm, your absence should be documented.
Some midterms and final questions will ask for proofs of theorems from class.
Bring a photo ID card to all exams. No calculators, books, or notes will be permitted.
Grading:
The final grade will be based on the best of the following schemes:
Final Exam 45%, Each Midterm 20 %, Homework: 15%
or
Final Exam 65%, The best Midterm 20 %, Homework: 15%
Practice Midterm 1
Practice Midterm 1 Solutions
Midterm 2-Solutions
Homework problems:
Homework will be collected at the beginning of the Tuesday Discussion Section, beginning January 11, ending March 1. Late homework will not be accepted. Label each homework clearly with your name and class (Math 131A, Lecture 2). You may work together on the
homework, but you must write up your solutions by yourself. The homework will emphasize making correct proofs.
Recommended exercises from sections 19, 20, 28, 29, 32, 33, 34: 19.5, 19.6, 19.7, 19.9, 20.1, 20.2, 20.3, 20.4, 20.11, 20.12, 20.18, 28.1 (d,e), 28.5, 28.8, 28.11, 29.1 (b,d,f), 29.5, 29.6, 29.7, 29.10, 29.16, 32.2, 32.3, 32.7, 34.2, 34.3, 34.5, 34.6, 34.7, 34.8.