Math 5210
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Professor Korevaar
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Homework is due in class on Mondays, unless otherwise noted.
Homework assignments (most recent first):
Due Monday April 26: (Last assignment!!!)
Class exercise from April 16, Friday: Showing our and Royden's definitions of Riemann integrable are the same.
Royden page 86 #4, 7, 8;
Royden page 89-90 #10, 15, 17, 18, 19.
hwsols10.pdf Solutions
Grading: 32 points total, distributed as follows:
Class exercise = 4 points;
p. 86 Royden: 4a, b = 2 points each, 7a, b = 1 point each, 8 = 2 points;
p. 89-90 Royden: 10a = 1 point, 10b = 2 points, 15a, b, c = 2 points each, 17a = 2 points, 17b = 3 points, 18 = 3 points, 19 = 3 points.
Due Monday April 12:
Class exercise from April 5.
Strichartz p. 654, #5, 8;
Royden page 69-70, #22, 24, 25.
hwsols9.pdf Solutions
Grading: 21 points total, distributed as follows:
Class exercise: a,b = 2 points each, c = 3 points;
Royden p. 69-70: 22a,b,c,d = 2 points each, 24 = 2 points, 25 = 1 point;
Strichartz p. 654: 5 = 3 points, 8 = extra credit, up to 4 points.
Due Monday April 5:
Royden page 56: 6, 7, 8;
Royden page 62: 10, 11, 13, 14b;
Strichartz page 654: 2, 3
hwsols8.pdf Solutions
Grading: 27 points total, distributed as follows:
p. 56 Royden: 6 = 4 points, 7, 8 = 1 point each;
p. 62 Royden: 10 = 2 points, 11 = 1 point, 13a,b,c = 3 points each, 14b = 2 points;
14.2.4 Strichartz: 2 = 4 points, 3 = 3 points.
Due Monday March 8:
7.3.4: 2, 5, 7, 12;
7.4.5: 4, 7;
7.5.5: 4, 8, 10, 15;
hwsols7.pdf Solutions
Grading: 21 points total, distributed as follows:
7.3.4: 2 = 1 point, 5, 7, 12 = 2 points each;
7.4.5: 4 = 3 points, 7abc = 1 point each;
7.5.5: 4, 8, 10, 15 = 2 points each.
Due Monday March 1:
9.3.7: 29;
11.1.6: 2c, 3, 5;
Class exercises 1-5: hwprobs6.pdf
hwsols6.pdf Solutions
Grading: 23 points total, distributed as follows:
9.3.7: 29a = 2 points, 29b not graded, up to 4 points extra credit.
11.1.6: 2c = 1 point, 3 = 2 points, 5 = 2 points.
Class exercises: 1a = 2 points, 1b = 1 point, 1c = 1 point, 2a = 1 point, 2b = 1 point, 3 = 2 points, 4a = 2 point, 4b = 2 points, 5a = 2 points, 5b = 2 points
Due Tuesday February 17:
Class exercises 2, 3, 5, (from two weeks ago - no further extensions).
9.2.5: 10, 12, 17;
9.3.7: 7, 15 (also show that if the open intervals are replace with closed ones, then f does have a fixed point), 16, 20, 26, 29. Actually, postpone 29 until next week, February 25.
hwsols5.pdf Solutions
Grading: 33 points total, distributed as follows:
Class exercises: 2 = not graded, but up to 6 points extra credit possible (2 points/ part), 3 = 2 points, 5 = 6 points (3 points for example, 3 for proof);
9.2.5: 10 = 3 points, 12 a, b = 2 points each, c = 1 point, d not graded, 17 = 2 points;
9.3.7: 7 = 3 points, 15 = 2 points, 16 = 3 points, 20 = 3 points, 26 = 4 points.
Due Wednesday February 11:
Class exercise 6 (from Monday 2/2 notes).
9.2.5: 9, 11, 13;
9.3.7: 1-3, 6, 10;
hwsols4.pdf Solutions
Grading: 21 points total, distributed as follows:
9.2.5: 9, 11, 13 = 2 points each;
9.3.7: 1, 2, 3, 6 = 2 points each; 10 = 3 points;
Class exercise 6: 4 points.
Due Monday February 2:
9.1.4: 4, 7, 10, 14;
9.2.5: 2, 7, 9, 14, 15;
5 class exercises pdf format
hwsols3.pdf Solutions
Grading: 23 points total, distributed as follows:
9.1.4: 4 = 2 points, 7, 10 = 1 point each, 14 = 3 points;
9.2.5: 2 = 2 points, 14 = 1, 15 = 3 points;
Class exercises: 1a = 1 point, 1b, 1c = 2 points each, 4a = 1 point, 4b, 4c = 2 points each.
Due Monday January 26:
2.3.3: 1, 2, 3, 7, 9, 10;
3.1.3: 1, 2, 4, 5, 7, 9, 11;
hwsols2.pdf Solutions
Grading: 19 points total, distributed as follows:
2.3.3: 1 = 1 point, 2 = 2 points, 3, 7, 10 = 1 point each;
3.1.3: 1a, 1c, 2 = 2 points each, 4 = 1 point, 5 = 2 points, 7, 9 = 1 point each, 11 = 2 points;
Due Wednesday January 21:
Class exercises 1-3 (see Tuesday Jan 13 notes), exercise 4; (Wednesday Jan 14 notes)
2.1.3: 3, 5, 6, 9;
2.2.4: 1, 5, 8a, 11;
hwsols1.pdf Solutions
Grading: 14 points total, distributed as follows:
Class exercises 1 = 1 point, 2 = 2 points, 3 not graded, 4 = 1 point;
2.1.3: 3, 5, 6, 9 = 1 point each;
2.2.4: 1, 5 = 2 points each, 8a, 11 = 1 point each;