Topics in Analysis        Homework Assignment        Spring 2000, Prof. Golé

Final exam (in pdf format)

Homework

Problems in green and/or in parenthesis are for extra credit

Presentations

Assignment #9, Due Friday April 28
Section 6.5: 2, 4
Section 6.7: 2, 6
Section 7.1: 1, 2, 5
Section 7.2: 4
Page  385: 12
Page  440:  (9)
  • Monday 4/16: Sherri (mean Value Thm.)
  • Wednesday 4/16: Contraction Mapping Principle (Theorem 5.7.1): Open!
   
Old Assignments
Assignements in blue have (or will soon have) an answer key on reserve at the science library
Old Presentations
Assignment #1, Due Monday January 31
Page 20:  3, 5, 8 ,16
Page 45: 2, 4 ,  5
  • Friday 1/28: Proofs of Proposition 1.2.5, p. 80, Proposition 1.2.6, p. 81(Dotty and Amy) 
  • Wednesday 1/26: Examples 1.4 and 1.6, p. 19 (Susanne) 
  • Assignment #2, Due Wednesday  February 9
    Page 51: 2, 
    Page 63: 2, 4, 
    Page 70: 3, 4
    Page 98: 12, 15,  16, 30
  • Wednesday 2/2: Theorem 1.4.3 (Jingli)
  • Assignment #3, Due Friday February 18
    Section 2.1: 2, 4, 6 
    Section 2.2: 2, 4
    Section 2.3: 2, 5
    Section 2.4: 1, 2
    Page 145: 12
    • Monday 2/7: Cauchy-Schwarz inequality (Sherri)
    • Wednesday 2/9: Finite intersection of open sets (Mallika)
    Assignment #4, Due Friday February 25
    Section 2.4: 4, 6 
    Section 2.5: 3, 4, 5
    Section 2.6: 2, 4
    Page 144: 10, 41
    • Monday 2/14: Example 2.3.6 (Muneeba)
    • Friday 2/18: Example 2.5.6 (Sarah)
    • Monday 2/21: Proposition 2.7.6 (Parveen)
    Assignment #5, Due Thursday March 2
    Section 2.7: 2, 4
    Section 2.8: 2, (3), 4
    Exercises for Chapter 2: 34, 38, 44
  • Monday 2/25: Lemma 1 page 165 (Ayesha)
      •  Friday 3/3/00:  Bolzano Weierstrass Thm, by Abena, Dotty and Susanne
    Assignment #6, Due wednesday March 22
    Section 3.1: 1, 2, 4
    Section 3.2: 2, (3), 4
    Exercises for Chapter 3: 8, 17
    • Wednesday March 8: Quiz on Bolzano Weierstrass
    Assignment #7, Due Friday April 7
    Section 4.1: 1, 2
    Section 4.2: 1, 3, 4
    Exercises for Chapter 4: 7, (8)
    • Monday April 3d: Fundamental Theorem of Algebra (Amy)
    • Wednesday 4/5: Theorem 6.2.2 (Jingli)
    Assignment #8, Due Friday April 14
    Section 6.1:  2, 4
    Section 6.2: 2, 4
    Section 6.3: 2 
    Page 384: 4, 5