Math 4200-1
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Professor Korevaar
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Homework assignments (most recent first):
That's it folks, no more HW!!!!
Due Wednesday, November 27:
8.2 1c, 2, 9;
5.1 10, 11, 12;
5.2 4a, 6, 7, 10, 11, 24, 26, 33, 34;
Class Exercise I: Use ideas from inverse Laplace Transform (class notes 10/11 page 3 and text page 473) to show that the partial fractions recipes you were taught in Calculus always have a solution. [You need not find the explicit formula for the coefficients in the general case, just that satisfactory coefficients exist. ]
Solutions: hw11.pdf
Grading 30 possible: each problem is worth 2 points, except that the class exercise is not graded.
Due Wednesday, November 13: (Note the change in due date. Exam is Friday Nov. 15)
4.3 1, 2, 3, 9, 10, 14, 17, 20b
4.4 1, 2, 3, 4, 5, 8, 9* (Consider 9 a challenge.)
Solutions: hw10.pdf
Grading 26 possible: each problem is worth 2 points, except 4.4 #5, 9 not graded. (If you got #9 I want to hear about it!)
Due Friday, November 1:
4.1 1de, 3, 5, 7ab, 9, 12;
4.2 2, 3, 4, 6, 8, 13, 15.
Solutions: hw9.pdf
Grading 27 possible, distributed as follows:
4.1 1d,1e,3: 1 point each, 5:2, 7ab: 1 each, 9:2, 12:4 (for proving the hint, not graded on whether you connect the hint to the theorem).
4.2 2:2, 3:1, 4:2, 6:2, 13a:2, 13b:3, 15:2.
Due Friday, October 25:
3.3 1ab, 2, 4, 6, 8, 9, 13, 15, 17, 18, 19, 20.
Solutions: hw8.pdf
Grading 29 possible, distributed as follows:
3.3 1ab: 1 each, 2:2, 4a:2, 4b:2, 6:2, 8:2, 9abc: 1 each, 13, 15, 17, 18: 2 each, 19abcd: 1 each, 20b:2.
Due Friday, October 18:
2.5 2, 5, (6), 10, 15, (18);
3.1 4, (6), 7, 14;
3.2 2, 3, (4), 7, (11), 13, 14, 18, (20).
Problems in parantheses are optional - they will not be graded but would be good to understand; answers for these problems are included in the posted solutions.
Solutions: hw7.pdf
Grading 35 possible, distributed as follows:
2.5 2:2, 5:1, 10:2, 18:2;
3.1 4a:2, 4b:2, 7a:2, 7b:2, 14a:2, 14b:2;
3.2 2abcd: 1 each, 3a:1, 3b:2, 7a:1, 7b:2, 13:2, 14:2, 18:2.
Due Friday, October 11:
2.4 2, 3, 4, 7, 8, 9, 12, 16, 17, 18;
Solutions: hw6.pdf
Grading: 20 points possible, distributed as follows:
2.4 2a:2, 2b:1, 3:2, 4:1, 7, 8, 9, 12: 2 each, 16a:1, 16b:1, 17:2, 18a:1, 18b:1.
Due Friday, September 27:
2.3 1, 3, 4, 6, 7;
Midterm 9/30 Monday to cover 1.1-2.3. Semester break 10/4.
Solutions: hw5.pdf
Grading: 10 points possible, distributed as follows:
2.3 1:1, 3:1, 4:2, 6:2, 7abcd: 1 each.
Due Friday, September 20:
2.1 2ac, 3, 5, 10, 11, 13, 14.
2.2 1ad, 2 (prove!), 3, 4, 6, 8, 10, 11.
Solutions: hw4.pdf
Grading: 22 points possible, distributed as follows:
2.1 2a:1, 2c:1, 3:1, 5:1, 10:2, 11abcd: 1 each, 13:1, 14:1;
2.2 1d:1, 2:1, 3:2, 8:2, 10:2, 11:2.
Extra, extra, get your notes on Green's Theorem here. These were written for another class and emphasize that Green's, Stoke's, and Gauss' Theorems are all special cases of a generalized fundamental theorem of Calculus, which looks very much like the one you learned in 1-variable Calculus. If you want a cleaner version of just Green's Theorem, consult your multivariable calculus book. Here are the notes: FTC.pdf.
Due Friday, September 13:
1.5 25, 26, 27, 28;
1.6 1c, 2abc, 3a, 4, 6, 10, 14;
Solutions: hw3.pdf
Grading: 22 points possible, distributed as follows:
1.5 26:2, 27abc:1 each, 28:2;
1.6 1c:1, 2abc, 3a, 4ab:1 each, 6:2, 10a:2, 10b:2, 14:2.
Due Friday, September 6:
4 problems from class notes, 8-30.pdf Note, problem 4 is asking you to show that the composition of continuous functions is continuous.
1.5 1d, 5a, 6b (draw the L-boxes of 5a, 6b), 8, 9, 10, 11, 16, 18abc, 19.
Solutions: hw2.pdf
Grading: 25 points possible, distributed as follows:
Class exercise 1a:1, 1c:2, 1d:1, 2:2, 3:2, 4:1;
1.5 1d:1, 6b:2, 8:2, 9:1, 10:1, 11:2, 16a:1, 16b:1, 18a:1, 18b:1, 18c:1, 19a:1, 19d:1.
Due Friday, August 30:
1.1 1c, 2c, 4a, 6b, 7, 11, 14, 17a
1.2 1b, 2b, 3, 5, 8, 11, 14, 21
1.3 2a, 3b, 5b, 6b, 7a, 9, 10, 16ac, 22, 23, 24, 30ac
Solutions: hw1.pdf
Grading: 32 points possible, distributed as follows:
1.1 2c:1 point, 4a:2 points, 6b:1, 7:1, 11 DPMA:1, MA:1, 14:3, 17a:1;
1.2 2b:1, 5:2, 8:1, 11:1, 14:1;
1.3 2a:1, 3b:2, 6b:1, 7a:1, 10:2, 16:1, 22a:1, 23:1, 24:2, 30a:1, 30c:2.
scores ranged from 16-32, and 28 was the median.