Homework #10, Due 5 December 2007 (Solutions)
Section 4.2 #1bc, 2bc, 7bceh; Section 4.3 #6be, 9. In the last problem, consider the general form of the equations that must hold if F(x) and G(x) are solutions, and solve for the coefficient functions.
Homework #9, Due 12 November 2007 (Partial Solutions [updated 11/14])
Section 17.10 #7abfj, 9, 10, 13; Exercises 8.5, 8.6, and 8.7 from Moler's Fourier Analysis chapter. Note that some software you need is available from "Download NCM software".
Homework #8, Due 2 November 2007 (Partial Solutions: nb, pdf)
Section 17.2 #5bdgj, 10; Section 17.3 #4acdemo, 5, 13, 15.
Homework #7, Due 15 October 2007 (Solutions)
Posted on the Homework 7 page.
Homework #6, Due 5 October 2007 (Partial Solutions)
Exercises 7.1, 7.4, 7.14, 7.15, and 7.16 from Moler's ODEs chapter (except that you can feel free to use other routines instead of ode23tx, such as ode23 or ode45). In writing up your results, I suggest cutting-and-pasting any relevant figures, command window inputs/output and/or values into a word processing document. If you select a figure, you can "print" the figure to the clipboard using some combination of the PrtSc button (on my system it's Ctrl-Alt-PrtSc, but I've seen it be just Ctrl-PrtSc on other systems), and then paste (Ctrl-v) the figure and values into a word processing program (e.g., Word).
Homework #5, Due 28 September 2007, optional for extra credit
If you don't think the exam went too well for you, feel free to turn in answers to Section 6.3 #8 & 9.
Homework #4, not to be turned in (6.2 Solutions)
Section 6.2 #1, 2b, 2j, 6a, 6b; Section 6.3 #8, 9. The purpose of this homework is to demonstrate some material that is fair game on our upcoming exam. The Section 6.3 problems will become part of Homework #5.
Homework #3, Due 14 September 2007 (Solutions)
Section 5.6 #1b, 1c, 1h; Section 5.7 #6, 7.
Homework #2, Due 7 September 2007 (Solutions: #1, #5)
Section 5.4 #1, 5. The assignment looks long when you open the textbook, but is in fact relatively straightforward if you use the tools at your disposal. In particular, you are strongly encouraged to use Mathematica and tables to compute any Laplace transform or inverse Laplace transform that you need for these problems; but you are not allowed to simply ask Mathematica to directly solve the differential equations for you. That is, the point of this assignment is to see how the Laplace transform leads to solutions of these differential equations.
Homework #1, Due 31 August 2007 (Solutions)
Section 5.2 #1, 2, 5, 6, 8, 10, 11. Feel free to use Mathematica's LaplaceTransform function to check your results, but you must show analytical pencil-and-paper work to receive full credit on this (and most of the non-numerical) assignments.
