Math 2270-3
Fall 2009
Homework

2270-3 home page
Professor Korevaar's home page
Department of Mathematics
College of Science
University of Utah

A subset of the underlined problems will be graded. If a problem is not underlined, it is recommended but need not be handed in.

Due August 28
1.1   3, 6, 11, 13, 14, 20, 21, 24, 27, 28, 29, 44;
1.2   1, 3, 9, 10, 16, 17 (These last two problems are now optional, since the math computer lab only opens next week.)
    hwsols1.pdf
Grading: Total = 15 points, distributed as follows:
   1.1   6 = 1 pt, 11 = 2 pts, 13 = 1 pt; 14, 21, 24, 28 = 2 pts each.
   1.2   3 = 1 pt, 9 = 2 pts.

Due September 4
1.2   17, 18, 20, 21 24, 25, 29, 30, 32, 34, 35, 37, 38, 41;
1.3   1, 5, 6, 7, 9, 11, 13, 14, 17, 18, 20, 22, 24, 27, 34, 35, 55;
2.1   1, 3, 4, 5, 6, 7, 8, 10, 13, 16, 17, 19, 24, 25, 26. the section 2.1 problems after #6 are postponed until next week.
    hwsols2.pdf
Grading: Total = 25 points, distributed as follows:
   1.2   17, 18, 29, 30, 35, 37, 41 = 2 pts each.
   1.3   5 = 2 pts; 6, 14, 18, 20, 24, 34, 55 = 1 pt each.
   2.1   5, 6 = 1 pt each.

Due September 11
2.1   8, 10, 13, 16, 17, 19, 24, 25, 26, 28, 30, 32, 36, 42;
2.2   1, 2, (draw L-box images instead of Bretscher's L images), 9, 10, 11, 12, 13, 17, 27, 35, 36, 38, 43, 44, 49;
2.3   1, 2, 5, 6, 16, 29;
The two class exercises in sept4.pdf notes.
    hwsols3.pdf
Grading: Total = 29 points, distributed as follows:
   2.1   10, 13 = 2 pts each, 24, 25, 26, 28 = 1 pt each, 36 = 2 pts, 42a = 2 pts, 42b = 1 pt.
   2.2   1, 2 = 1 pt each, 11, 27, 43, 44 = 2 pts each.
   2.3   2, 5, 6, 16, 29a, 29b = 1 pt each.

Due September 18
2.3   29, 33, 34, 38, 45, 48, 49, 50;
2.4   19, 20, 21, 23, 25, 29, 33, 38, , 67, 68, 69, 70, 71, 73 (justify your answers between 68-73!), 104.
Review problems page 98-99: 3, 5, 6, 7, 8, 10, 16, 26, 34, 40, 41 (explain answer!)
3.1   3, 5, 6, 13, 19, 21, 23, 24, 25, 32, 33, 34, 37.
    hwsols4.pdf
Grading: Total = 36 points, distributed as follows:
   2.3   38, 45, 48, 49 = 2 pts each.
   2.4   20 = 2 pts, 25 = 1 pt, 29= 2 pts, 68, 69, 70 = 2 pts each (1 pt for answer, 1 pt for reason); 104abcd = 1 pt each.
   3.1  6, 13 = 2 pts each; 19, 21, 23, 24, 25 = 1 pt each; 32, 34 = 2 pts each.

Due September 22 Maple project 1:
http://www.math.utah.edu/~korevaar/2270fall09/mapleproj1.pdf

Due September 25
3.2   1, 4, 5, 7, 8, 14, 15, 21, 28, 33, 45;
3.3   6, 7, 18, 21, 25 (may use tech to rref 25), 29, 32, 36, 37 ;
    hwsols5.pdf
Grading: Total = 21 points, distributed as follows:
   3.2   1, 8, 14, 28, 33, 45 = 1 pt each.
   3.3   6, 18, 21, 25, 29, 32, 37 = 2 pts each; 36 = 1 pt.

Due October 2
3.4   1, 3, 5, 6, 11, 14, 15, 16, 17, 21, 22, 31, 33, 43, 53, 56;
    hwsols6.pdf
Grading: Total = 18 points, distributed as follows:
   3.4   , 3, 43 = 1 pt each; 6, 11, 14, 15, 21, 22, 31, 56 = 2 pts each.

Due October 9
4.1   1, 2, 5, 6, 10, 13, 14, 20, 25, 30, 35, 48
4.2   1, 2, 5, 6, 10, 19, 26, 27.
(There was originally 4.3 hw, but it's been postponed.)
    hwsols7.pdf
Grading: Total = 30 points, distributed as follows:
   4.1   1, 6, 13 = 1 pt each; 2, 5, 10, 14, 20, 25, 30, 48a = 2 pts each.
   4.2   1, 2, 5 = 1 pt each; 6, 10, 19, 26 = 2 pts each.

Due October 23
4.3   1, 2, 3, 5, 7, 8, 13, 15, 26, 29, 35, 42, 49;
Chapter 4:   all multiples of 4, (0, 4, 8, ...), for Chapter 4 review problems. Justify "T" answers, give counterexamples for "F" ones.
5.1   1, 3, 5, 6, 7, 9, 12, 14, 15, 17, 18, 22, 23, 25, 26, 27, 29, 33;
    hwsols8.pdf
Grading: Total = 33 points, distributed as follows:
   4.3   2, 3, = 1 pt each; 7, 8, 9, 29 = 2 pts each; 42 = 3 pts, 49 = 2 pts.
    chapter 4 review   16, 32, 48, 64 = 2 pts each.
   5.1   6, 9, 12 = 1 pt each, 14, 17 = 2 pts each, 27 = 1 pt, 29 = 2 pts.

Due October 30
5.2   3, 4, 13, 17, 18, 27, 29, 32, 33, 35, 36, 42;
5.3   1, 2, 7, 11, 15, 19, 21, 27, 31, 35, 40;
5.4   1, 2, 3, 5.   only problems 2,3, 5 are due this week. the rest are postponed until next week.
    hwsols9.pdf
Grading: Total = 31 points, distributed as follows:
   5.2  4, 13, 18, 27, 29, 32, 35, 36 = 2 pts each;
   5.3   7, 11, 15, 21, 27 = 1 pt each; 35, 40 = 2 pts each;
   5.4   2, 3, 5 = 2 pts each.

Due November 6
5.4   21, 22, 23, 25, 31, 32, 39;
Chapter 5 True/False review problems: all multiples of 4; as usual, justify answers!
    hwsols10.pdf
Grading: Total = 20 points, distributed as follows:
   5.4   22, 23, 25, 31 = 2 pts each.
   chapter 5 review   8, 16, 24, 32, 40, 48 = 2 pts each.

Due November 13
6.1   9, 10, 17, 32, 42, 43, 48, 49;
6.2   1, 2, 9, 11, 15, 16, 17, 30, 31, 32, 35, 37, 38, 44.
    hwsols11.pdf
Grading: Total = 20 points, distributed as follows:
   6.1   10, 17, 32 = 1 pt each; 42 = 2 pts, 43 = 1 pt, 48, 49 = 2 pts each.
   6.2   2, 9, 16 = 1 pt each, 17 = 2 pts, 31a = 1 pt, 31b = 2 pts, 32, 35 = 1 pt each.

Due November 20 (we extended the due date on the Maple part, which was originally due Nov. 17.)
Maple project 2
6.3   1, 5, 7, , 8, 11, 13, 18, 19, 20, 21, 22, 24, 25, 26, 48;
7.1   1, 2, 4, 6, 7, 15-19, 24, 27, 30, 31, 32, 49;
7.2   9, 12, 19, 21, 25, 26, 27, 28, 38.
Class exercises a,b on notes from nov13.pdf.
    hwsols12.pdf
Grading: Regular hw total = 28 points, distributed as follows:
   6.3   7, 25 = 2 pts each; 11, 13, 22 = 1 pt each;
   7.1   2, 4, 6, 15, 16, 17, 18, 19 = 1 pt each; 24, 27, 49 = 2 pts each;
   7.2   9, 12 = 1 pt each, 26 = 2 pts, 28ac = 1 pt each, 28b = 2 pts.
Maple grading: Part 2a = 14 points total: problems 1, 2, 3, 4, 6 = 2 pts each, 5 = 4 pts. Part 2b = 14 points total, 2 pts for each problem.

Due November 30
7.3   7, 13, 20, 23, 27, 28, 35, 36, 38, 44.
7.4   14, 17, 23, 25, 27, 31, 35, 37, 38, 47, 54.
    hwsols13.pdf
Grading: 23 points, distributed as follows:
   7.3   7 = 1 pt, 13, 20 = 2 pts each; 23, 27, 28 = 1 pt each; 44b (solution formulas) = 3 pts.
   7.4   14, 17 = 2 pts each, 25 = 1 pt, 31 = 2 pts, 35, 37, 38 = 1 pt each, 54 = 2 pts.

Due December 4
7.5   1, 2, 3, 4, 5, 6, 9, 11, 21, 24, 30, 31, 32, 41, 45, 47;
7.6   1, 3, 4, 11, 12, 17, 20 , 37.
Chapter 7 review True False   multiples of 6, as usual justify your answers.
    hwsols14.pdf
Grading: 31 points, distributed as follows:
   7.5   1, 2, 24 = 1 pt each; 9, 11, 32a, 32b, 45 = 2 pts each.
   7.6   3, 4, 12, 17, 20 = 2 pts each.
   7 review T/F   12, 24, 36, 48 = 2 pts each.

Due December 11 Last hw, hurray!
8.1   3, 5, 10, 14
8.2   15, 16, 19, 20, 21
8.3   7, 9, 10, 12. (Section 8.3 became optional).
    hwsols15.pdf
Grading: 20 points, distributed as follows:
   8.1   3 = 2 pts, 5, 10 = 3 pts each, 14abc = 1 pt each.    8.2   15, 16, 19 = 3 pts each.