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 AssignedTopic

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




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




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




?? FINAL EXAM






March 21, 2020