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