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 

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  SturmLiouville theory  §11.4; #1, 2, 7, 9 
PDEs in polar coordinates  §13.2; #1, 3, 9 

??  FINAL EXAM  
March 21, 2020