http://interval.louisiana.edu/courses/350/Math-350-syllabus.html
### Syllabus for Math 350

**Instructor: R.
Baker Kearfott, **Department
of
Mathematics, University of
Louisiana at Lafayette

**Office hours and
telephone, Email: rbk@louisiana.edu.**

There is not an official
departmental syllabus, but there are certain topics that are expected to be
covered in all sections. With that in mind, this is a list of topics
to be covered in this section. This is a general guide that will be
modified as appropriate as the class progresses; the actual scheduling
of topics will be flexible. Section numbers are from Boyce and
DiPrima, Elementary Differential
Equations and Boundary Value Problems, 10th edition. Assignments
from Wiley Plus will be announced in class.

__This page may change throughout the semester__.

- 1.1 Mathematical models and direction fields

- 1.2 Solutions to some differential equations

- 1.3 Classification of differential equations

- 2.1 Linear differential equations and integrating factors

- 2.2 Separable equations

- 2.3 Modeling with first-order equations

- 2.4 Differences between linear and nonlinear equations

- Exam

- 3.1 Homogeneous equations with constant coefficients

- 3.2 Linear independence and the general solution

- 3.3 Complex roots of the characteristic equation

- 3.4 Repeated roots

- 3.5 Non-homogeneous equations

- 3.7 Mechanical and electrical vibrations

- 3.8 Forced vibrations

- 4.1, 4.2, 4.3, and 4.4 Higher order equations (analogous to
first-order equations)

- Exam

- 5.1 Review of power series

- 5.2 Series solution near an ordinary point

- 5.3 (continuation)

- Exam

- 6.1 The Laplace transform

- 6.2 Solution of initial value problems

- 6.3 Step functions

- 6.4 Discontinuous forcing functions

- 6.5 Impulse functions

- Exam

- 7.1 Introduction to systems

- 7.2 Review of matrices

- 7.3 Linear independence, eigenvalues, and eigenvectors

- 7.5 Homogeneous linear systems

- Exam

- Review
- Review