Reading Assignments 2250 Fall 2009
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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.
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Week 1, Aug 24-28
 Read sections 1.1,1.2,1.3,1.4.  Method of Quadrature, Direction
 fields, Picard theory, Separable DE

Week 2, Aug 31, Sep 1-4
 Read sections 1.5,2.1,2.2,2.3. linear DE, populations, stability,
 Verhulst DE, phase analysis, Newton kinematic models.

Week 3, Sep 8-11
 Read sections 2.3,2.4,2.5,2.6.  Earth to the moon, numerical methods of
 Euler, Heun, Runge-Kutta, review of rectangular, trapezoidal and Simpson
 rules in calculus.

Week 4, Sep 14-18
 Read sections 3.1,3.2,3.3. Intro linear algebra. Read the online notes
 for linear algebraic equations.

Week 5, Sep 21-25
 Read sections 3.4,3.5,3.6. Matrices, rref, matrix operations, inverses,
 determinants

Week 6, Sep 28-30, Oct 1-2
 Read sections 4.1,4.2,4.3. Vector space, subspace, independence

Week 7, Oct 5-9
 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 19-23
 Read sections 5.1,5.2,5.3,5.4. Linear constant DE, superposition,
 atoms, vibrations, steady-states, observables

Week 9, Oct 26-30
 Read sections 10,1,10.2,10.3,10.4. Laplace intro, history, Laplace
 tables, Laplace's method, Laplace rules.

Week 10, Nov 2-6
 Read sections 10.5,EPbvp7.6,5.5 Periodic inputs, square wave, ramp,
 piecewise methods, Heaviside and Dirac inputs, engineering functions.
 Variation constants, undetermined coefficients.

Week 11, Nov 9-13
 Read 5,6,EPbvp3.7,6.1,6.2. Forced oscillations, beats, resonance,
 mechanical systems, electric circuits. Eigenanalysis, systems of DE,
 Fourier's model, diagonalization.

Week 12, Nov 16-20
 Read sections 7.1,7.2,7.3,7.4. First order systems, eigenanalysis
 method, Putzer's algorithm, resolvent method, Cayley-Hamilton method.
 Second order systems, railway cars, earthquakes, sliding plates,
 oscillation control of an elevator.

Week 13, Nov 23,24,25
 Read sections 7.5 /w Laplace, 8.1, 8.2. Jordan form, Putzer's formulas,
 generalized eigenanalysis, Cayley-Hamilton theorem, matrix exponential,
 spectral methods, variation of parameters for systems.

Week 14, Nov 30, Dec 1-4
 Read sections 9.1,9.2,9.3. Stability, phase plane, linear systems, almost
 linear systems, predator-prey models.

Week 15, Dec 7-11
 Read sections 9.3,9.4. More detail predator-prey, nonlinear mechanical
 systems. Pendulum. Soft and hard springs.
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