Reading Assignments 2250 Fall 2008
All Reading is approximately one week ahead of the lectures. Please read
the text in the week assigned! Then read it again after the lectures on
the topics.


Week 1, Aug 24-29
 Read sections 1.1,1.2,1.3,1.4.  Method of Quadrature, Direction
 fields, Picard theory, Separable DE

Week 2, Sep 2-5
 Read sections 1.5,2.1,2.2.  linear DE, populations, stability, Verhulst
 DE, phase analysis

Week 3, Sep 8-12
 Read sections 2.3,2.4,2.5,2.6.  Newton models, Earth to the moon,
 numerical methods of Euler, Heun, Runge-Kutta

Week 4, Sep 15-19
 Read sections 3.1,3.2,3.3. Intro linear algebra

Week 5, Sep 22-26
 Read sections 3.4,3.5,3.6. Matrices, rref, matrix operations, inverses,
 determinants

Week 6, Sep 29, 30, Oct 1, 3
 Read sections 4.1,4.2,4.3. Vector space, subspace, independence

Week 7, Oct 6-10
 Read sections 4.4,4.5,4.6,4.7 Bases, dimension, row and column space,
 pivot theorem, orthogonality, abstract vectors spaces, function spaces

Week 8, Oct 20-24
 Read sections 5.1,5.2,5.3,5.4. Linear constant DE, superposition,
 atoms, vibrations, steady-states, observables

Week 9, Oct 27-31
 Read sections 5.5,5,6,EPbvp3.7,10.1. Variation constants, undetermined
 coefficients, forced oscillations, resonance, electric circuits,
 Laplace intro.

Week 10, Nov 3-7
 Read sections 10.2,10.3,10.4. Laplace tables, Laplace's method, Laplace
 rules.

Week 11, Nov 10 to 14
 Read sections 10.5, EPbvp7.6, 6.1, 6.2. Periodic inputs, square wave, ramp,
 piecewise methods, Heaviside and Dirac inputs, engineering functions.
 Eigenanalysis, systems of DE, Fourier's model, Putzer's algorithm.

Week 12, Nov 17-21
 Read sections 7.1,7.2,7.3,7.4. First order systems, eigenanalysis method,
 Second order systems, railway cars, Laplace resolvent.

Week 13, Nov 24,25,26
 Read sections 7.5 /w Laplace, 8.1, 8.2. Jordan form, Putzer's formulas,
 generalized eigenanalysis, Caley-Hamilton theorem, matrix exponential,
 spectral methods, variation of parameters for systems.
 

Week 14, Dec 1-5
 Read sections 9.1,9.2,9.3. Stability, phase plane, linear systems, almost
 linear systems, predator-prey models.

Week 15, Dec 8-12
 Read sections 9.3,9.4. More detail predator-prey, nonlinear mechanical
 systems.