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.

1.  1.1 Mathematical models and direction fields
2.  1.2 Solutions to some differential equations
3.  1.3 Classification of differential equations
4.  2.1 Linear differential equations and integrating factors
5.  2.2 Separable equations
6.  2.3 Modeling with first-order equations
7.  2.4 Differences  between linear and nonlinear equations
8.  Exam
9.  3.1 Homogeneous equations with constant coefficients
10.  3.2 Linear independence and the general solution
11.  3.3 Complex roots of the characteristic equation
12.  3.4 Repeated roots
13.  3.5 Non-homogeneous equations
14.  3.7 Mechanical and electrical vibrations
15.  3.8 Forced vibrations
16.  4.1, 4.2, 4.3, and 4.4 Higher order equations (analogous to first-order equations)
17.  Exam
18.  5.1 Review of power series
19.  5.2 Series solution near an ordinary point
20.  5.3 (continuation)
21.  Exam
22.  6.1 The Laplace transform
23.  6.2 Solution of initial value problems
24.  6.3 Step functions
25.  6.4 Discontinuous forcing functions
26.  6.5 Impulse functions
27.  Exam
28.  7.1 Introduction to systems
29.  7.2 Review of matrices
30.  7.3 Linear independence, eigenvalues, and eigenvectors
31.  7.5 Homogeneous linear systems
32.  Exam
33.  Review
34.  Review