Triet M. Le
Email:
Phone: (203) 432-4011
Office: Dunham Lab. 418
Math 300: Topics in Analysis, Spring 2010
Time: MWF: 11:35-12:25
Office Hours:MW from 5-6pm
Location: LOM 214
Textbook: "Fundamental Ideas of Analysis" by Michael
Reed
Another useful Reference: "Analysis, an Introduction" by
Richard Beals.
Both these books are on reserve at the Engineering & Applied
Science Library in Becton Center.
The course will cover most of chapters 1-6 in the textbook. Two theorems
will be of special interests: the Bolzano-Weierstrass Theorem and the Contraction Mapping Theorem.
It is expected that students will be fully familiar with proofs and some applications of these theorems.
Reading and Homework Assignments: The pages listed for each week
contain the topics to be discussed in class that week.
The problems listed in "Homework" are due in class on Friday, a week after it is listed.
No late homework will be accepted. If an assigned problem has several parts (i.e. a,b,c,d,e) and no
specification is given, you are to solve all parts.
Exams: There will be two midterms and a final exam. The first midterm will be on February 19th from 7-8:30pm, and the second midterm will be on April 2nd from 7-8:30pm.
Grading: The grading scheme is: 30% for the homework; 15% first midterm; 15% second midterm;
35% for the final; 5% for participation in class;
Syllabus: (Tentative)
- Week 1: Jan. 11-15, 2010
- Week 2: Jan. 18-22, 2010
- Week 3: Jan. 25-29, 2010
- Week 4: Feb. 1-5, 2010
- Week 5: Feb. 8-12, 2010
- Structure of Point Sets: 1) open and closed sets; 2) compact
sets;
- Notes:
week5.pdf
- Homework:
hw5.pdf
- Week 6: Feb. 15-19, 2010
- Week 7: Feb. 22-26, 2010
- Reading: Section 3.4-3.6.
- Notes:
week7.pdf
- Homework:
- Week 8: Mar. 1-5, 2010
- Week 9: Mar. 22-26, 2010
- Reading: Section 4.4-4.6.
- Notes:
week9.pdf
- Homework:
- Week 10: Mar. 19 - April 2, 2010
- Week 11: April 5-9, 2010
- Week 12: April 12-16, 2010
- Week 13: April 19-23, 2010
- Reading: See Reading from Week 12.
- Reading week: