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gibson:teaching:spring-2013:math445:syllabus

Readings are sections in Zill First Course in Differential Equations with Modeling Applications, 9th edition. If you use another text, look up the lecture topic in the table of contents or index.

Lectures without a specified topic are buffers for the inevitable lag. Homeworks are listed on their due dates.

Please refer to policies for specifics on handing in homeworks, exam procedures, etc.

``` date  lecture                            reading  homework

W 1/23 intro

FIRST-ORDER DIFFERENTIAL EQUATIONS
F 1/25 definitions, separable eqns        2.2
M 1/28 1st order linear (var of params)   2.3
W 1/30 exact equations                    2.4      HW1
F 2/01 substitutions                      2.5
M 2/04 examples
W 2/06 question and answer                         HW2
F 2/08 EXAM #1

HIGHER-ORDER DIFFERENTIAL EQUATIONS (mostly 2nd order)
M 2/11 motivation, terminology            4.1
W 2/13 y=exp(lambda t), Euler's formula   4.3
F 2/15 under, critical, and overdamping   5.1      HW3
M 2/18
W 2/20 judicious guessing (undet. coeff)  4.4
F 2/22                                             HW4
M 2/25 variation of parameters            4.6
F 3/01 EXAM #2

LAPLACE TRANSFORMS
M 3/04 definition, inverse transforms     7.1-2
W 3/06 transform of derivative, IVPs      7.2
F 3/08 s-translation                      7.3.1    HW5

(spring break)

M 3/18 t-translation (Heaviside func)     7.3.2
W 3/20 transforms: deriv, convolution     7.4.1-2
F 3/22 transforms: periodic funcs         7.4.3    HW6

M 3/25 Dirac delta function               7.5
F 3/29 EXAM #3

SERIES SOLUTION
M 4/01 power series review                6.1.1
W 4/03 solutions about ordinary points    6.1.2
F 4/05 regions of convergence                      HW7

M 4/08 solutions about singular points    6.2
W 4/10 bessel,legendre functions          6.3.1,2
F 4/12 question and answer                         HW8

SYSTEMS OF DIFFERENTIAL EQUATIONS
M 4/15 matrices and vectors               AppII.1
W 4/17 Ax=b, determinants
F 4/19 ODEs in matrix form, eigenvalues   8.1      HW9

M 4/22 real eigenvalues, distinct         8.2.1
W 4/24 real eigenvalues, repeated         8.2.2
F 4/26 complex eigenvalues                8.2.3    HW10

NUMERICAL METHODS
M 4/29 Euler method                       9.1
W 5/01 Runge-Kutta                        9.2
F 5/03 Lorenz system                               ```