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