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Math 5440-1
5440-1 home page
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Due August 27
aug23.pdf class notes, last page, has the assignment.
hw1sols.pdf solutions.
Grading: 10 points possible; 2 points each for 1a, 1b, 2, 3, 4.
Due September 3
1.2 1-5
1.3 1
1.4 1, 2, 8
1.5 1-3
Class exercise 1: prove that a continuously differentiable function f(x) is even if and only if it's derivative is odd. Prove that f(x) is odd if and only if the derivative is even and f(0)=0. (I forgot to include the f(0)=0 hypothesis in the class notes version of this problem. Sorry!)
hw2sols.pdf solutions (courtesy of Laurel and Andy) .
Grading: 18 points possible:
1.2: 1abc, 2, 3, 4ab, 5ab = 1 point each;
1.3.1 = 1 point
1.4: 1, 2, 8 = 1 point each;
1.5: 1, 2, 3 = 1 point each;
Class Exercise a,b = 1 point each.
Due September 10
sept3.pdf class notes, is a collection of homework problems related to PDE's and the higher dimensional versions of the FTC.
hw3sols.pdf solutions (courtesy of Andy)
Due September 17
2.6 1, 3, 4, 5
2.7 1, 3, 4, 6
hw4sols.pdf solutions (courtesy of Andy).
Grading: 13 points possible:
2.6: 1, 3, 4, 5 = 2 points each;
2.7: 1, 3, 4 = 1 point each, 6 = 2 points.
Due September 24
sept17.pdf Friday's class notes contain the first set of problems on page 5, and
sept20.pdf Monday's notes contain the class exercise on page 4, to derive the 2 space dimension wave equation via Newton's second law and linearization, for transverse membrane oscillations.
hw5sols.pdf solutions (courtesy of Laurel)
Grading: 16 points possible:
2.8.1 a = 2 points (COV to Laplacian two ways), b = 3 points (COV two ways, show solutions equivalent), c = 3 points (as in b)
3.11: 1, 2, 3 = 2 points each;
class exercise (derive 2 space-d wave equation for transverse vibrating membrane) = 2 points.
Due October 1
sept24.pdf Friday's notes contain 2 class exercises and two problems from 3.13 (#2,4).
sept27.pdf Monday's notes contain the last class exercise.
hw6sols.pdf solutions (courtesy of Andy)
Grading: 17 points possible:
Class exercise 1abce = 1 point each, 1d = 2 points; 2 = 3 points; 3.13.2, 3.13.4 = 2 points each; 4ab = 2 points each.
Due October 22
4.14 1ad, 2; in (2), also solve for R(r). Hint: COV r=exp(t) yields a constant coefficient linear DE.
oct18.pdf three multiple part class exercises, on pages 4-5 of Monday notes.
hw7sols.pdf solutions (courtesy of Laurel)
Grading: 23 points possible:
1.14.1a, 1.14.1d = 2 points each; extended 1.14.2 = 4 points.
Class exercise 1a = 4 points, 1b = 1 point; 2 = 5 points, 3 = 5 points.
Due October 29
oct25.pdf four class exercises and two problems from the text.
hw8sols.pdf solutions (courtesy of Laurel)
Grading: 17 points possible:
Class exercises 1 = 4 points, 2 = 5 points, 4 = 4 points; 4.23.1, 4.23.2 = 2 points each.
Due November 5
4.22.1, 4.22.2, 4.23.3, 4.23.7, 4.24.1, 4.24.8
nov1.pdf two class exercises on page 4 of Monday's notes.
hw9sols.pdf solutions (courtesy of Laurel)
Grading: 21 points possible:
4.22.1, 4.22.2 = 2 points each; 4.23.3, 4.23.7 = 3 points each; 4.24.1 = 2 points, 4.24.7 = 3 points; class exercises 1,2 = 3 points each. On class exercise 2 you are not graded on the question whether the solution extends continuously to the boundary.
Due November 12
5.27: 1, 3
5.28: 1, 2
5.29: 1, 2, 4, 7
hw10sols.pdf solutions (courtesy of Laurel)
Grading: 19 points possible:
5.27: 1, 3 = 2 points each;
5.28: 1, 2 = 2 points each;
5.29: 1 = 3 points, 2 = 2 points; 4, 7 = 3 points each.
Due November 24
nov19.pdf problems on page 5
hw11sols.pdf solutions (courtesy of Andy)
Grading: 28 points possible:
7.1: 1 = 3 points; 3, 5 = 2 points each.
7.4: 6abc, 11ab, 17ab = 2 points each.
Class exercises 1, 2 = 3 points each; 3 = 1 point.
Due December 3
nov24.pdf problems on page 4, plus
nov29.pdf three more class problems on page 8 of Monday's notes
hw12sols.pdf solutions (courtesy of Laurel)
Grading: 22 points possible:
6.31.3, 6.32.1, 4, 5 = 2 points each;
Class excercises 1ab= 2 points each, 2 not graded; 3 = 3 points, 4 = 4 points, 5abc = 1 point each.