Math 2250-3
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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):
Underlined problems are to be handed in, others are only recommended.
Due Wednesday December 8: Maple project, see Maple page
Grading: 25 points, with 4 points each for 3.1-3.5 and 5 points for 3.6.
Due Wednesday December 8:
10.1: 3, 7, 8, 13, 20, 21, 23, 28.
10.2: 3, 4, 5, 6, 14, 19, 20, 28, 31.
10.3: 3, 7, 8, 17, 20, 27, 31.
Here are the solutions: hwsols14.pdf
Grading: 22 points, distributed as follows:
10.1: 3, 8, 13, 20, 23, 28 = 1 point each.
10.2: 4, 6 = 2 points, 14 = 3 points, 20 = 2 points.
10.3: 8 = 1 point, 17, 20, 31 = 2 points each.
Due Wednesday December 1: (Note, you also have a Maple project to work on, due December 8.)
7.3: 3, 4, 6, 13, 14, 25, 30, 32, 37. (Originally due last week)
7.4: 2, 3, 8, 13, 14, 16, 17, 18.
Note: In section 7.3, when the problem directions include a statement such as "For each problem, use a computer system of graphing calculator to construct a direction field and typical solution curves for the given system", consider this part of the problem to be recommended, but optional.
Here are the solutions: hwsols13.pdf
Grading: 33 points, distributed as follows:
7.3: 4, 6 = 3 points each; 14, 25, 30, 32 = 4 points each.
7.4: 2, 8, 13 = 3 points each; 14 = 2 points.
Due Wednesday November 24:
6.1: 7, 17, 18, 24, 29.
7.1: 1, 3, 5, 8, 11, 18, 21, 24, 26.
7.2: 5, 9, 10, 13, 14, 16, 21, 23, 25.
Here are the solutions: hwsols12.pdf
Grading: 31 points, distributed as follows:
6.1: 7, 18, 24, 29 = 2 points each.
7.1: 8 = 2 points, 18 = 3 points, 21a, b, 24, 26 = 2 points each.
7.2: 9, 10 = 1 point each, 14, 21 = 3 points, 23 = 2 points.
Due Wednesday November 10: Maple Project IIb (go to 2250maple.html.)
Grading: 18 points total; 2 points per problem.
Due Wednesday November 10:
5.5: 3, 4, 12, 13, 19, 34, 37, 43, 49, 50, 52.
5.6: 3, 5, 7, 14, 16, 21, 22.
Here are the solutions hwsols11.pdf
Grading: 32 points, distributed as follows:
5.5: 3 = 2 points, 12, 19, 34 = 3 points each, 43a,b, 49, 52 = 2 points each.
5.6: 3, 7, 14 = 3 points each, 21, 22 = 2 points each.
Due Wednesday November 3:
5.3: 3, 10, 14, 21, 22, 24, 29, 33, 37;
5.4: 4, 5, 7, 10, 12, 15, 17, 18, 23; (In 15, 17, 18, just find the solutions x(t), also in phase-amplitude form.)
5.5: 3, 4, 12, 13, 19, 34, 37, 43, 49, 50, 52. Postpone 5.5 problems until next assignment
Here are the solutions hwsols10.pdf
Grading: 18 points, distributed as follows:
5.3: 10 = 2 points, 22 = 3 points, 33 = 2 points, 37 = 3 points.
5.4: 4, 15, 17, 18 = 2 points each. (I love #23, but our grader is busy this week so I didn't have this problem graded.)
Due Wednesday October 27:
4.7: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 13, 15, 17, 21, 23, 25;
5.1: 2, 9, 11, 17, 27, 29, 30, 31, 34, 35, 39;
5.2: 2, 5, 9, 11, 13, 21, 22, 25, 26.
Here are the solutions hwsols9.pdf
Grading: 30 points, distributed as follows:
4.7: 2, 5, 7, 8, 13, 15, 17 = 1 point each; 21 23, 25 = 2 points each.
5.1: 2, 11 = 2 points each; 17, 27, 34, 35, 39 = 1 point each.
5.2: 2, 9, 11, 13 = 2 points each.
Due Wednesday October 20: Please feel free to use technology to compute rref in any of this weeks' problems.
4.2: 2, 6, 9, 27;
4.3: 16, 17, 18, 23, 25.
4.4: 1, 2, 3, 6, 8, 9, 11, 13, 26;
4.5: 1, 12, 16, 17, 26, 27, 28.
Here are the solutions: hwsols8.pdf
Grading: 34 points, distributed as follows:
4.2: 6 = 2 points, 9 = 1 point, 27 = 2 points.
4.3: 16, 18, 25 = 2 points each.
4.4: 2, 3, 6 = 1 point each; 9, 11, 13, 26 = 2 points each.
4.5: 1 = 3 points, 12 = 4 points, 16 = 2 points, 26, 27, 28 = 1 point each.
Due Wednesday October 13: Please feel free to use technology to compute rref in any of this weeks' problems.
4.1: 1, 7, 9, 10, 15, 16, 19, 22, 25, 26, 31, 33;
4.2: 5, 6, 9, 15, 18, 24, 27, 29;
4.3: 1, 3, 6, 9, 10.
Actually, do 4.1 and 4.3, and 4.2 #18. Postpone the rest of 4.2 until next week.
Here are the solutions: hwsols7.pdf
Grading: 22 points, distributed as follows:
4.1: 7 = 1 point, 10 = 2 points, 16 = 1 point; 19, 22, 26, 31 = 2 points each, 33 = 1 point.
4.2: 18 = 2 points.
4.3: 1, 3, 6 = 1 point each; 9, 10 = 2 points each.
Due Monday October 4, because Exam 1 is on October 4
3.6: 2, 6, 17, 21, 22, 32. On 22 and 32 find x (or x1) with Cramer's rule. Then compute A^(-1) with adjoint formula (page 210), as well as with rref algorithm (better get same answer!) Finally, use A^(-1) to solve Ax=b, and compare first component with your Cramer's rule computation.
Here are the solutions: hwsols6.pdf.
Grading: 18 points, distributed as follows:
3.6: 7, 17 = 2 points each; 22, 32 = 6 points each (6=1+2+2+1).
Due Wednesday, September 29
3.3: 13, 20, 33, 34;
3.4: 3, 5, 7, 10, 13, 19, 31, 32, 34, 39, 40,44;
3.5: 5, 7, 8, 13, 22, 23, 30, 31, 32, 33;
technology checks (your choice Maple, Matlab, etc.), printout to be handed in:
3.3 20: reduced row echelon form;
3.4 13;
3.5 22, find A^(-1), and verify that A*A^(-1)=A^(-1)*A=I; 23.
Here are the solutions: hwsols5.pdf, techcheck5.pdf
Grading: 32 points, distributed as follows:
3.3: 13 = 1 point, 20 = 2 points, 34 = 1 point:
3.4: 3, 5, 7, 10, 13, 19, 31a,b, 34, 39, 40a,b = 1 point each;
3.5: 7, 13, 23 = 2 points each; 30, 32 = 1 point each.
3.5: tech checks on 20, 13, 22, 23 = 2 points each.
Due Wednesday, September 22 (Note, Maple Ib due 9/20):
2.4: 5
2.5: 5, 25
2.6: 5
3.1: 1, 4, 11, 16, 17, 19, 23, 29, 32, 33, 34;
3.2: 7, 8, 9, 13, 17, 29, 30.
Here are the solutions: hw4sols.pdf
Grading: 28 points, distributed as follows:
2.4: 5a, 5b = 2 points each;
2.5: 5 = 2 points, 25 = 4 points;
2.6: 5 = 2 points;
3.1: 4, 11, 16, 23, 29, 32 = 2 points each;
3.2: 8, 9 = 1 point each, 17 = 2 points.
Due Monday, September 20:
Maple Ib...grading: total = 20 points, distributed as follows: 1.3-1.6 = 5 points each.
Due Wednesday, September 15 (Note, Maple Ia due 9/13 and Maple Ib due 9/20):
2.1: 1, 3,, 6, 8, 9, 11, 12, 22, 33;
2.2: 5, 7, 9, 12, 14, 15, 23;
2.3: 2, 3, 9, 10, 12, 17, 18.
Here are the solutions: hw3sols.pdf
Grading: 30 points, distributed as follows:
2.1: 3, 8 = 3 points; 9, 12, 22 = 2 points.
2.2: 9 = 3 points, 14, 15 = 2 points each (phase portrait and stability analysis only, technology slope field not graded).
2.3: 2a = 2 points, 2b = 1 point, 3 = 2 points, 10, 12 = 3 points each.
Due Monday, September 13:
Maple Ia...grading: total = 15 points, distributed as follows: A.1a,b,c = 3 points each, A.2a,b,c = 2 points each.
Here are the solutions: maple1asols.pdf
Due Wednesday, September 8:
1.4: 3, 4, 9, 12, 14, 19, 20, 22, 40, 45, 49, 54, 61;
1.5: 1, 7, 8, 13, 20, 33, 36, 38, 41.
Here are the solutions: hw2sols.pdf
Grading: 29 points, distributed as follows:
1.4: 9, 12, 20, 40 = 2 points each; 45a,b,c = 1 point each; 49, 54 = 2 points.
1.5: 8, 13, 20, 33, 38a,b,c = 2 points each.
Due Wednesday, September 1:
1.1: 3, 4, 7, 15, 16, 19, 20, 27, 30, 34, 36, 46;
1.2: 5, 7, 10, 14, 20, 25, 26, 36, 44;
1.3: 3, 6, 8, 11, 12, 14, 21, 25, 32, 33.
Here are the solutions: hw1sols.pdf
Grading: 25 points, distributed as follows:
1.1: 7, 16, 20 = 2 points each; 34, 36 = 1 point each.
1.2: 7 = 1 point; 10, 25 = 2 points each; 26abc = 1 point each, 44 = 3 points.
1.3: 6 = 2 points; 12, 14 = 1 point each; 21 = 2 points.