Department of Mathematics - RHIT
Topics Outline for MA222 - Differential Equations and Matrix Algebra II - 2010-11

last posted to site: 08/19/10

Text and Text Materials

Text: Differential Equations with Boundary Value Problems, second edition, by Polking, Bogess, and Arnold

Approximate Timing and Pace

There should be 2 or 3 tests, perhaps a final review day or two.
It may be advantageous to teach Laplace transforms first. However, no engineering courses have MA222 as corequisite for course require to be taken at the same time as MA222. Therefore, there are no requirements to teach Laplace transforms first.
Optional topics in italics.

Topics Time Sections
Laplace transforms 3 weeks 5.1, 5.2, 5.3, 5.4, 5.5, 5.6, 5.7
Systems of differential equations
1 week
1.5 weeks
1 week
3.5 weeks total
8.1, 8.2, 8.3, 8.4, 8.5
9.1, 9.2, 9.3, 9.5, 9.9
10.1, 10.2, 10.5, 10.6, 10.8
Approximation 2.5 weeks 6.1, 11.1, 11.2, 12.1, 12.2, 12.3
Tests and flex/review 1 week  

Text Topics - listed in the approximate book order - optional topics in italics.

Laplace Transform Methods - about 3 weeks

Chapter 5: The Laplace Transform

Systems of differential equations - about 3.5 weeks

Chapter 8:  An Introduction to Systems (about 1 week)

Chapter 9:  Linear Systems with Constant Coefficients (about 1.5 weeks)

Chapter 10: Nonlinear Systems (about 1 week)

Approximation - about 2.5 weeks

Chapter 6: Numerical Methods

Chapter 11: Series Solutions to Differential Equations

Chapter 12: Fourier Series