Syllabus Math 441

Math 441. Differential Equations
Instructor Syllabus

Text: Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems, 10th Edition, John Wiley & Sons, Inc., 2012.

Subject Chapter-Section Class
Hours
Introduction 1.1, 1.2, 1.3 1
First order linear equations 2.1 (Exercise 38 on pg. 41) 1
Separable and exact equations

2.2, 2.6

1
Integrating factors and
homogeneous equations
2.6 (Exercise 30 on pg. 49) 2
Differences between linear and nonlinear equations 2.4, Bernoulli Equations 1
Modeling with first order equations 2.3 2
Autonomous equations and population dynamics 2.5 2
The Picard existence and uniqueness theorem 2.8 4
The basic theory or nth order linear differential equations 3.1, 3.2, 3.3, 4.1 6
nth order linear equations with constant coefficients 3.1, 3.3, 3.4, 4.2 3
Undetermined coefficients and variation of parameters for nth order equations 3.5, 3.6, 4.3, 4.4 2
Applications 3.7, 3.8 1
Review of power series 5.1 1
Series solutions near an ordinary point 5.2, 5.3 2
Regular singularities, Euler equations 5.4 2
Series solutions near a regular singular point (I, II) 5.5, 5.6 2
Bessel's equation 5.7 2
Introduction to systems 7.1 1
Solving linear systems with constant coefficients 7.5 1
Stability and Liapunov's Method 9.2, 9.6 3
Leeway and Exams   4
Total number of lectures   40

Approved by R. Muncaster 7/16/12.