MATH 3160 – Differential Equations 2
Homework problems, Fall 2019
Problems are from the assigned textbook: Zill, Differential Equations with Boundary Value Problems, 9th Edition, Cengage Learning, 2018.
The following is a minimal set of problems you should be able to solve by the end of the course. Additional practice (e.g. review after each chapter) is up to your discretion.
Date Assigned | Topic | Problems |
Sept 9 | Solutions about ordinary points | §6.2; #5, 7, 11, 15, 19, 27 |
Sept 16 | quiz #1 | |
Sept 16 | Solutions about singular points | §6.3; #1, 3, 5, 15, 19, 27 |
Sept 25 | quiz #2 | |
Sept 25 | Laplace transform definition | §7.1; #3, 5, 23, 27, 41, 42, 43 |
Laplace transform and DEs | §7.2; #35, 39, 41. §7.3; #23, 25, 29 |
|
Oct 2 | quiz #3 | |
Oct 3 | Laplace transform properties | §7.3; #15, 17, 23, 25, 45, 47 |
Dirac delta function | §7.5; #1, 3, 5, 9, 13, 17 |
|
convolution | §7.4; #19, 23, 25 |
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Oct 9 | quiz #4 | |
Oct 23 | midterm exam #1 | |
Oct 25 | Fourier series | §11.2; #1, 3, 5, 13, 19, 23 |
Cosine & Sine series | §11.3; #11, 13, 23, 25 |
|
Oct 30 | quiz #5 | |
Nov 1 | Wave equation | §12.4; #3, 5, 11, 15 |
Heat/Diffusion equation | §12.3; #1, 2, 5, 7 |
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Nov 8 | quiz #6 | |
Nov 12 | Laplace’s equation | §12.5; #1, 3, 5, 7 |
Nov 20 | midterm exam #2 | |
Nov 22 | Sturm-Liouville theory | §11.4; #1, 2, 7, 9 |
PDEs in polar coordinates | §13.2; #1, 3, 9 |
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?? | FINAL EXAM | |
March 21, 2020