HW Assignment for Math 531

This page will give a complete listing of the reading and homework assignments that you are required to do. In addition, Exam and Final dates will be listed. Most problems will be worked in WeBWorK. For WeBWorK students will login using their last name with a capital first letter and their Red ID number for a password. (Logins are case sensitive!) For example, suppose your name is Henri Poincare with Red ID number 314159265. Then you login with:

Username: Poincare
Password: 314159265

There is a Lab Manual (MATLAB and Maple) version, which will continue to be updated over the semester with detailed information for using MatLab and Maple on your assignments.

Week 13-15:We finish Chapter 10 on Fourier Transforms. There is a Take Home Final, which will be due Thursday, May 12.
There are solutions to Take-Home Exam 2, HW10, and HW11.
HW Assignment #10: 10.3.1, 10.3.5, 10.3.6, 10.4.1, 10.4.3, Computer Problem.
These problem are due Monday, May 9.

Week 11-12: We finish Chapter 8 on Nonhomogeneous problems and may begin Chapter 10 on Fourier Transforms.
Solutions are available for HW9.
HW Assignment #10: 8.2.1b, 8.2.2b, 8.2.5, 8.3.1a, 8.4.2, 8.4.3.
These problem are due Wednesday, Apr. 27.

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Notes about Exams

For Exam 1, you are allowed a Scientific Calculator (no graphing or smart functions). All Cell phones must remain out of sight. You may have one standard sheet of paper with notes.

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Old Assignments

Week 1: Read Chapters 1 and 2 from the text. The first chapter introduces Partial Differential Equations and shows the derivation of the Heat Equation. The second chapter shows separation of variables and begins the process of solving the Heat Equation.
HW Assignment #1: Work the WeBWorK Problems, 1.2.9, 1.4.12.
These problem are due Friday, Jan. 29.

Week 2: Read Chapters 2 and 3 from the text. We continue techniques of separation of variables and introduce Fourier series. Computer code for Maple (heat1d (PDF)) and MatLab (heatjm.m) are available.
HW Assignment #2: Work the WeBWorK Problems, 1.5.22, 2.2.4, 2.3.1(b,c,f), 2.3.8, 2.3.11. (Problem 2.3.11 has changed in 5th edition, so use linked problem.)
These problem are due Friday, Feb. 5.

Week 3: Read Chapters 2 and 3 from the text. We continue techniques of separation of variables and introduce Fourier series.
HW Assignment #3: 2.4.1, 2.4.2, Computer Problem.
These problem are due Friday, Feb. 12.

Week 4: Continue with Chapters 2 and 3 from the text. We continue techniques of separation of variables and introduce Fourier series.
HW Assignment #4: Work the WeBWorK Problems, 2.5.1(d,g), 2.5.2, 2.5.6, 2.5.8(b), 2.5.10, 2.5.15(b) .
These problem are due Friday, Feb. 19.

Week 5: Read Chapter 3 from the text. We continue Fourier series.
HW Assignment #5: Work the WeBWorK Problems, 3.3.1(c), 3.3.14, 3.4.1, 3.4.6, 3.4.11, Computer Problem 2.
Solutions are available for HW1 and HW2.
These problem are due Friday, Feb. 26.

Week 6: Read Chapter 4 (through 4.4) and Chapter 5 from the text. We examine the Wave Equation and begin Sturm-Liouville Eigenvalue problems. There is a Take-Home Exam, which is due at class-time on Fri. Mar 11. You must do this work on your own according to the honor code of SDSU. This Take-Home Exam should provide a good basis for study of the In-Class Exam, which will be on Fri. Mar. 11.
Solutions are available for HW3.
HW Assignment #6: Work the WeBWorK Problems, 4.4.1, 4.4.9, 4.4.10, 5.3.2, 5.3.3, 5.3.9, 5.4.5.
These problem are due Friday, Mar. 4.

Week 7: We continue Sturm-Liouville problems and start Chapter 7, higher dimensional PDEs. Read Chapters 5 and 7 from the text. There is a Take-Home Exam, which is due at class-time on Fri. Mar 11. You must do this work on your own according to the honor code of SDSU. This Take-Home Exam should provide a good basis for study of the In-Class Exam, which will be on Fri. Mar. 11.
Solutions are available for HW4, HW5, and HW6.
HW Assignment #7: Work the WeBWorK Problem, 5.5.1(c,d), 5.5.5, 5.5.8, 5.5.11
These problem are due Monday, Mar. 14.

Week 8-9: We continue Chapter 7 with higher dimensional PDEs, Bessel's Differential Equation, spherical problems and Legendre polynomials. For those who want more details, there is a link to good notes on the Method of Frobenius needed for solving Bessel's equation. There are Take-Home Exam Solutions available. Also, there are Exam Solutions available.
HW Assignment #8: Work the WeBWorK Problems, 5.6.1, 5.8.5 (for b numerically find first 5 e.v.s with h = -1 and L = 1), 5.8.8 (for c numerically find first 5 e.v.s), 5.8.11, 7.3.1 (d), 7.3.2a, 7.3.4a, 7.3.5, 7.5.1a, 7.5.2a.
These problem are due Wednesday, Apr. 6.

Week 10: We complete Chapter 7 with higher dimensional PDEs, Bessel's Differential Equation, spherical problems and Legendre polynomials, then begin Chapter 8 on Nonhomogeneous problems. There is a Take-Home Exam 2, which is due Monday, Apr. 25.
Solutions are available for HW7 and HW8.
HW Assignment #9: 7.7.1, 7.7.2a, 7.9.1c, 7.9.2b, 7.10.1e, 7.10.2c, 7.10.8, 7.10.9a.
These problem are due Monday, Apr. 18.