Math 131A - Analysis
Lecture 3
Fall 2008
| Instructor: |
Calin Martin |
| Lectures: |
Time: MWF 12:00 PM-12:50 PM, Location: MS 5138
|
| Discussion Section: |
Time: R 12:00 PM-12:50 PM, Location: MS 5138
|
| Office: |
MS 6167 |
| Phone: |
(310) 825-4314 |
| Email: |
cmartin(at)math.ucla.edu |
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: Monday, October 20, 12:00-12:50 PM, in class, on Sections 1-10.
- Midterm 2: Monday, November 24, 12:00-12:50 PM, in class, on Sections 10-28.
- Final: Friday, December 12, 8:00 AM-11:00 AM. Location: BOELTER 5436
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 following:
Final Exam 40%, Midterms 30 %, Homework: 30%
Homework problems:
Homework will be collected at the beginning of the Thursday Discussion Section, beginning October 9, ending December 4 and excluding November 27. Late homework will not be accepted. Label each homework clearly with your name and class (Math 131A, Lecture 3). You may work together on the
homework, but you must write up your solutions by yourself. The homework will emphasize making correct proofs. The lowest homework will be dropped.
Sample Midterm 1:
Sample Midterm 2:
Here are the Solutions:
Suggested exercises for the final: 3.5, 4.7, 4.8, 4.12, 7.4, 8.5, 8.6, 8.9, 8.10, 9.12, 9.14, 9.18, 10.6, 10.12, 11.8, 12.1, 12.4, 12.14, 14.6, 14.8, 15.6, 17.4, 17.7(b), 17.9 (a,b,c), 17.13, 18.8, 18.9, 18.12, 19.4, 19.8, 19.9, 28.8, 28.9, 29.2, 29.3, 29.5, 29.13, 29.16, 32.2, 33.8, 33.10, 34.8, 34.11.