Math 2210-1
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Professor Korevaar
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Homework is due at the start of class, on Wednesdays, unless otherwise noted. Homework solutions will be posted by the following Friday.
Homework assignments (most recent first):
Circled or underlined problems are to be handed in, others are only recommended.
Due Wednesday, December 8: (Last assignment!!!)
15.3 3, 5, 17, 21, 28.
15.4 1, 6 (also, compute the actual line integral for 6), 7, 17, 21.
15.5 1, 13, 15, 27.
15.6 1, 3, 6.
15.7 1, 11, 17.
Solutions: hw15sols.pdf
Grading: 19 points, distributed as follows: (You are graded on setting the integral up correctly, and then on getting the correct answer - you MAY use technology to do the integrals.)
15.3: 3, 17 = 2 points each, 21 = 3 points, 28 = 2 points.
15.4: 6 = 4 points (2 for line integral, 2 for Green's), 7, 17, 21 = 2 points each.
Due Wednesday, December 1:
15.1 1, 5, 6, 11-14, 15 , 17, 22, 25-30, 35, 37, 38.
15.2 1, 3, 7, 11, 15, 19 21.
Solutions: hw14sols.pdf
Grading: 26 points, distributed as follows: (You are graded on setting the integral up correctly, and then on getting the correct answer - you MAY use technology to do the integrals.)
15.1: 1, 5, 6, 15, 22, 37, 38 = 2 points each.
15.2: 1 = 3 points, 7, 11 = 2 points each, 15 = 3 points, 19 = 2 points.
Due Wednesday, November 24:
14.9 3, 7, 8, 13, 14, 22.
Solutions: hw13sols.pdf
Grading: 17 points, distributed as follows: (You are graded on setting the integral up correctly, and then on getting the correct answer - you MAY use technology to do the interated integrals.)
14.9: 3 = 2 points, 7, 8, 13 = 3 points each; 14 = 2 points, 22 = 4 points.
Due Wednesday, November 17:
14.6 1, 7 (Do these two by hand. In the remainder of the assignment you will receive full credit if you set up the correct iterated integrals and use technology to compute the exact value of the result. I encourage you to do so. Of course, you should make sure you could work these problems by hand if necessary.) 12, 17, 21, 23, 26, 41, 44.
14.7 1, 2, 4, 5, 15, 19, 23, 25, 26.
14.8 1, 4, 7, 10, 11, 17, 21.
Solutions: hw12sols.pdf, hw12solsmaple.pdf
Grading: 30 points, distributed as follows: (You are graded on setting the integral up correctly, and then on getting the correct answer - you MAY use technology to do the interated integrals, unless otherwise indicated, i.e. on 1, 7 of the first section.)
14.6: 1, 7, 12, 17, 21, 23 = 2 points each.
14.7: 1, 2, 4, 15, 23 = 2 points each.
14.8: 1, 4, 10, 21 = 2 points each.
Due Wednesday, November 10:
14.3 7, 10, 14, 20, 27, 30, 37, 41.
14.4 4, 5, 13, 14, 23, 24, 29, 41.
14.5 11, 13, 41, 42, 45, 46, 51.
Solutions: hw11sols.pdf
Grading: 30 points, distributed as follows: (You are graded on setting the integral up correctly, and then on getting the correct answer - you MAY use technology to do the interated integrals, unless otherwise indicated. In fact, in the future I encourage you to do so.
14.3: 10, 20, 30, 37, 41 = 2 points each.
14.4: 5 = 3 points, 13, 14, 29 = 2 points each.
14.5: 11 = 3 points, 41, 42, 45, 46 = 2 points each.
Due Wednesday, November 3:
14.1 11, 12 (on these two also compute Riemann sums by dividing the domain into the natural unit-length subsquares, and using midpoints for sampling), 27, 31, 32.
14.2 3, 7, 8, 15, 18, 23, 25, 29, 31.
Solutions: hw10sols.pdf
Grading: 28 points, distributed as follows:
14.1: 11, 12 = 3 points each (2 points for the Riemann sums); 27 = 1 point, 28, 32 = 2 points each.
14.2: 7, 8, 18, 23 = 2 points each; 25, 29, 31 = 3 points each.
Due Wednesday, October 27:
13.7 1, 3, 5, 7, 9, 13, (in 9, 13 also exhibit the matrix version of the chain rule) 23, 29, 33, 35, 40;
13.8 7, 11, 12, 23, 44, 45, 49;
13.9 3, 11 17, 19, 31;
Class exercises I, II. They are written out on the last page of October 20 class notes, oct20.pdf
Solutions: hw9sols.pdf
Grading: 34 points, distributed as follows:
13.7: 5, 9, 13, 29, 33, 35, 40 = 2 points each;
13.8: 12, 23, 44, 45, 49 = 2 points each;
13.9: 3, 11, 19, 31 = 2 points each;
Class exercise II (cylinder problem) = 2 points.
Due Wednesday, October 20:
13.4 7, 9, 15, 22, 32, 38, 41, 43, 45-50, 55, 56, 57, 59;
13.5 9, 11, 14, 15, 25, 35, 37, 39, 52, 59, 61; also, the two problems from page 5 of class notes October 13.
13.6 17, 24, 29, 36, 38.
Solutions: hw8sols.pdf
Grading: 37 points, distributed as follows:
13.4: 7, 15 = 1 point each; 32, 41, 43 = 2 points each, 59 = 2 points.
13.5: 9, 14 = 2 points; 25 = 4 points, 35, 37, 39 = 2 points each; 59 = 3 points, 61a, b = 2 points each.
13.6: 17, 29, 36 = 2 points each.
Due Wednesday, October 13:
13.2 3, 6, 13, 35, 37, 41, 43, 53-58;
13.3 4, 15, 21, 29, 41, 42, 51, 54.
Solutions: hw7sols.pdf
Grading: 25 points, distributed as follows:
13.2: 6, 13 = 1 points each; 35, 37, 41, 43 = 2 points each; 54, 56, 58 = 1 point each.
13.3: 4, 15, 21, 29 = 1 point each; 41, 42, 51a, 51b = 2 points each.
Due Wednesday, October 6:
12.3 1, 12, 16, 23, 28, 29, 30;
12.4 5, 11, 12, 18, 21, 26, 31, 33, 36, 39, 49, 50, 55.
Solutions: hw6sols.pdf
Grading: 34 points, distributed as follows:
12.3: 1, 12, 16, 23, 28, 29, 30 = 2 points each. (You must draw the surfaces correctly in the sense that they are the correct (quadric) surface, and open along the correct axes, although I don't require you to get the scaling completely correct.)
12.4: 5, 12 = 1 point each, 18, 31, 33, 36, 39, 49, 50 = 2 points each, 55 = 4 points.
Due Monday, September 27 (because exam 1 is Wednesday Sept. 29) :
12.2 7, 8, 16, 17, 25, (in this problem, also sketch
the spiral, label the position, tangent, normal, and acceleration vectors at t=Pi/2,
and have your sketch reflect the tangential and normal components of acceleration), 33, 43, 50, 55.
Solutions: hw5sols.pdf
Grading: You decided to keep this homework and not have it graded.
Due Wednesday, September 22:
11.6 32, 41, 53, 54, 55;
12.1 1, 3, 6, (and draw a picture showing the curve, r(2), r'(2), r''(2)); 8, 15, 18, 33, 35, 36, 39, 43, 45, 46, 55, 60;
12.2 1, 5.
Solutions: hw4sols.pdf
Grading: 21 points, distributed as follows:
11.6: 32, 41 = 2 points each;
12.1: 1 = 1 point, 6 = 3 points (including picture), 15, 18 = 1 point each, 33 = 2 points, 36a (dot product) = 1 point, 45 = 2 points, 46, 55 = 1 point each;
12.2: 1, 5 = 2 points each.
Due Wednesday, September 15:
11.5 1, 11, 15, 17, 22, 28, 29, 31, 33; (work by hand, check with Maple, graphing calculator etc., if you wish.)
11.6 1, 10, 16, 20.
class exercises: bob.pdf (includes blank piece of graph paper).
Solutions: hw3sols.pdf
Grading: 29 points, distributed as follows:
11.5: 11, 15, 17 = 2 points each; 22 = 3 points, 28, 29 = 2 points, 31 = 3 points.
11.6: 1, 10 = 1 point, 16 = 2 points.
Bob: 1a,b, 2 = 3 points each.
Due Wednesday, September 8:
11.3 1, 7, 8, 11, 15, 17, 18, 23, 25, 29, 36;
11.4 3, 10, 15, 22, 30, 35, 37, 41, 54, 55, 59.
I also asked you to verify that cross product distributes over addition, but won't grade this since I forgot to remind you. Solutions: hw2sols.pdf
Grading: 29 points, distributed as follows:
11.3: 1, 8 = 1 point each; 15, 17 = 2 points each; 18 = 1 point, 23, 29a, 29b, 36 = 2 points each.
11.4: 10, 15, 22, 30, 37 = 2 points; 41 = 1 point, 54 = 2 points, 55 = 1 point.
Due Wednesday, September 1: hwset1.pdf
Solutions: hw1sols.pdf
Grading: 25 points, distributed as follows:
11.1: 2, 6, 19, 24 = 1 point each; 29, 45, 51 = 2 points each.
11.2: 5 = 3 points (1/2 point each part, 1/2 free); 11 = 1 point, 17 = 2 points, 53 = 1 point, 69 = 2 points.
Class exercises: I = 2 points, II = 1 point, III = 2 points, IV = 1 point.