Triet M. Le
Email:
Phone: (203) 432-4011
Office: Dunham Lab. 418

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Math 300: Topics in Analysis, Spring 2008
Time: MWF: 11:35-12:25
Location: LOM 214
Text: "Fundamental Ideas of Analysis" by Michael Reed
Office Hours: Monday and Tuesday: 5:00-6:00

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The course will cover most of chapters 1-6 in the book. Three theorems will be of special interests: the Bolzano-Weierstrass Theorem; Taylor's Theorem; and the Contraction Mapping Theorem. It is expected that students will be fully familiar with proofs and some applications of these theorems.

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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 the Wednesday of the week they are listed in. 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.

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Exams: There will be a midterm and a final exam. The midterm is on Wednesday (03/05/08) in LOM 214 from 5:00pm-6:30pm

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Grading: The grading scheme is: 30% for the homework; 30% for the midterm; 40% for the final.

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Syllabus: (Tentative)

• Week 1: Jan. 14-18, 2008
  
  • Reading: Section 1.1-1.2.
  • Notes: week1.pdf

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• Week 2: Jan. 21-25, 2008
  
  • Reading: Section 1.3-1.4
  • Notes: week2.pdf
  • Homework: hw1.pdf

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• Week 3: Jan. 28 - Feb. 1, 2008
  
  • Reading: Section 2.1-2.3.
  • Notes: week3.pdf
  • Homework: hw2.pdf

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• Week 4: Feb. 4-8, 2008
  
  • Reading: Section 2.4-2.6.
  • Notes: week4.pdf
  • Homework: hw3.pdf

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• Week 5: Feb. 11-15, 2008
  
  • Structure of Point Sets: 1) open and closed sets; 2) compact sets;
  • Notes: week5.pdf
  • Homework: hw4.pdf

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• Week 6: Feb. 18-22, 2008
  
  • Reading: Section 3.1-3.3.
  • Notes: week6.pdf
  • Homework: hw5.pdf

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• Week 7: Feb. 25-29, 2008
  
  • Reading: Section 3.4-3.6.
  • Notes: week7.pdf
  • Homework: hw6.pdf

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• Week 8: Mar. 3-7, 2008
  
  • Midterm is on Wednesday 5:00-6:30pm in LOM214, covering materials upto Riemann Integral.
  • Reading: Section 4.1-4.3.
  • Notes: week8.pdf
  • Homework (due Wed. March 5): Page 94: 3; 6; 13; 14; 15.

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• Week 9: Mar. 24-28, 2008
  
  • Reading: Section 4.4-4.6.
  • Notes: week9.pdf
  • Homework: hw8.pdf

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• Week 10: Mar. 31 - April 4, 2008
  
  • Reading: week10.pdf
  • Homework:
    • Page 133: 5; 6; 7; 11(a,b).
    • Page 139: 3; 4; 11(b, e).

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• Week 11: April 7-11, 2008
  
  • Reading: week11.pdf
  • Homework: hw10.pdf

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• Week 12: April 14-18, 2008
  
  • Reading: week12-13.pdf
  • Homework: hw11.pdf

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• Week 13: April 21-25, 2008
  
  • Reading: See Reading from Week 12.
  • Homework: Due FRIDAY April 25.
    • Page 194: 3; 7; 9.
    • Page 216: 9; 14;
    • Page 220: 3;
    • Page 236: 1; 4; 9; 11; 16.

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Office Hours During Reading Period:

• MWF 11:35am-12:25pm, 5:00pm-6:00pm

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Final Exam is on Thursday May 08, 2008 from 9:00-12:00 in WLH 116.

• The final consists of 10 questions, which also include stating definitions, and theorems.
• Some practice problems: pratice.pdf