Final Exam question by question topics (tentative)

Here are the question by question topics:

1 a., b. c..Laplace transforms (properties from definition, inverse transforms, first order IVPs).
A table of Laplace transforms will be provided

2. The trace-determinant plane including bifurcation

3. Equilibrium points (including classification) and nullclines for nonlinear systems. Stability issues.
4. Forced harmonic oscillators (solve)
5. Short answer: differential operator, linearization
6. Modeling using differential equations.
7. T/FHarmonic oscillators
.
9. Famous names and dif eq models
10. Matching for forced harmonic oscillators, including resonance and beats.