Mathematics 131A Lecture 2
Analysis

MS5147   MWF 11-11:50

E. Effros


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READ AND UNDERSTAND THE NOTES!!!


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Supplemental notes and assignments
  1. Purpose of course, how grades are computed, studying suggestions and Assignment 1: 131aF05n1.pdf
  2. Conventions of mathematical logic and absolute values("handout 2"): 131aF05n2.pdf
  3. Properties of the positive integers including induction and Assignment 2("handout 3"): 131aF05n3.pdf
  4. Some uncountable sets("handout 3a"): 131aF05n3a.pdf
  5. Completeness and Assignment 3a("handout 4"):131aF05n4.pdf
  6. Remarks on convergence, continuity Note: skip "Assignment 4" - the material was covered in previous and following assignments("handout 5"): 131aF05n5.pdf
  7. Completeness and the Balzano-Weierstrass theorem("handout6"): 131aF05n6.pdf
  8. Assignment 5
    1. p. 94: 1,2,3,4,7,8
    2. p. 127 1, 2, 4
    3. p. 133 1, 5, 6, 7, 8, 11
  9. Assignment 6
    1. p. 133 (Fundamental Theorem of Calculus): 12, 13
    2. p. 168 1, 5
    3. p. 173 2, 3
    4. p. 181 (norms) 1, 2, 3, 4, 5
  10. Assignment 7 
    1. p. 202  (metric spaces): 1, 3, 7, 8, 9 [correction: read "there exist infinitely many n such that..."], 10
    2. p. 208 1, 2, 3, 4, 6


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