Math.520.001 Introduction to Analysis 1 Fall 2011
  Assignments

Date
Assigned
 Date
Due
 Assigned Problems
8/29
 8/31
 1.  Explore the links on the course home page.  Specifically, read the following carefully: Overview ,  Details, Portfolio Info , Academic Integrity Rules, and take a look at  Tentative Schedule of Topics, Math Word Processing, and Format Guides.  This Student Survey should be printed (unless you got a copy in class), filled in, and returned to class.

2.  Section 1: 1.9+, 1.12, Extra Problems 1 and 2+.  Here are hints for these extra problems.

3.  Section 2: 2.3, 2.6, Extra Problems 1 and 2.  Here are hints for these extra problems.
8/31
 9/7 Section 3: 3.1, 3.3, 3.4, 3.6
9/7
 9/14
 Section 4: (4.1-4.4)abeijn, 4.7b+, 4.8, 4.16 (Hint: use denseness of the rationals), Extra Problem 1 and 2+.
9/12
 9/21
 Section 5: 5.1, 5.2, 5.3
9/14
 9/21
 Section 7: 7.3 acdefghioq, plus sin(10n degrees), 7.4, 7.5ab
9/16
 9/21
 Section 8: 8.1c, 8.2e, 8.5a, 8.7c
9/19
 9/28
 Section 9: 9.1c, 9.2b, 9.5, 9.9ac, 9.10c, 9.17, and Extra Problem 1.  (No + problems; put this assignment in portfolio)
9/24 10/5
 Revised versions of the + problems from prior assignments.
10/3
 10/12
 Section 10: 10.1bce, 10.2, 10.4  (give both an  explanation and appropriate examples), 10.5, 10.6, 10.7 (Hint: use extra problem 2 in section 4), 10.10+, 10.11, Extra Problem 1+.
10/12
 10/19
 Section 11:  11.1, 11.2,  11.5, 11.6, 11.7, and as an optional problem 11.10.
10/12
 10/19
 Section 12:  12.1, 12.2,  12.3deg, 12.6a,  Extra Problem 1.
10/19
 10/24
 Section 13:  13.1a, 13.2 (in b feel free to use the second assertion in lemma 13.3 which is proved in the book without reference to the part you have to prove.), 13.8 (feel free to use proposition 13.9 w/o proof), Extra Problems 1-3.
10/19
 11/2
 Section 13:  13.4, 13.6b+c+, 13.9a (use prop 13.9b), 13.10b, 13.12b+
11/3
 11/9
 Sections 14 & 15:  14.5, 14.6a, 14.7, 14.8, 15.6, Extra Problems 1-3.  Optional problems: 15.7 (assume an > 0) and extra problems 4-6.
11/9 11/16
 Section 17: 17.1, 17.3abf, 17.4, 17.9ac, 17.12, 17.13, Extra Problems 1-3
11/14
 11/30
 18.4, 18.5, 18.9, 18.10, plus Extra Problems 1-4.  Here is a hint for the first extra problem, if you need one.
11/14
 11/30
 19.1c, 19.2c, 19.4a+, 19.5ef, 19.8a.  Here is an optional extra problem.
11/14
 11/30
 Read section 20 and learn the definitions and theorems.


NOTE: The assignments below will not be collected or graded.  Working on these problems should help you learn the material that they cover, and including them in your portfolio will contribute to your overall portfolio grade. 
11/16
 never
 23.1ace, 23.6, 23.7
11/26
 never
 24.1, 24.2, 24.6, 24.10, 24.12, 24.13, 24.17.
12/3 never From section 25: 2, 3, 4, 5, 6, 8, 9, 12, 13, 14
12/3 never From section 28: 4, 5 (extra part d: relate this example to the proof of the chain rule.), 6, 7, 11, 15
12/3 never From section 29: 1ac, 2, 3, 5, 6, 9, 13, 14