AMS 361, Applied Calculus IV: Differential Equations

Catalog Description: Homogeneous and inhomogeneous linear differential equations; systems of linear differential equations; solution with power series and Laplace transforms; partial differential equations and Fourier series. May not be taken for credit in addition to the equivalent MAT 303.

Prerequisite: AMS 161 or MAT 127 or 132 or 142 or 171

4 credits

AMS 361 Instructor webpage

Textbook: (1) Calculus IV with Many Examples, Eleventh Edition, Copley Custom Textbooks, Y. Deng; ISBN: 9781581526653
(2) Differential Equations and Boundary Value Problems, Fourth Edition, Penny and Edwards, Prentice-Hall; ISBN: 9780131561076


1.   Exact methods and homogeneous linear differential equations -- 6 classes
2.  Methods of approximate solution of differential equations –-  6 classes
3.  Nonhomogeneous linear differential equations –-  6 classes.
4.  Systems of linear differential equations and matrices -- 6 classes
5.  Solutions with Laplace transforms –- 6 classes.
6.  Solutions with power series and special functions -- 4 classes
7.  Partial differential equations and separation of variables – 4 classes.
8.  Examinations and Review – 4 classes.