MATH 231-DIFFERENTIAL EQUATIONS-SPRING 2015-COURSE OUTLINE

Text: Fundamentals of Differential Equations, by Nagle, Saff and Snider (Eighth edition)

1.2: existence/uniqueness for the initial-value problem

Ch. 2 First-order differential equations

2.3 Linear equations
2.2 Separable equations
Handout: qualitative analysis of autonomous equations
2.4 Exact equations
2.6 Special cases (scale-invariant, Bernouilli, linear differential forms)

Ch. 3 Applications of first--order equations

3.2/3.3: mixing, heating/cooling

TEST 1

Ch. 4 Linear second-order equations/ mechanics

Ch. 7 Laplace transforms

TEST 2

Ch. 8  Series solutions

TEST 3

Ch.9, Ch.5 Linear systems: matrix methods, phase plane analysis, applications


FINAL EXAM