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gibson:teaching:spring-2013:math527: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 snow day --no class

M 2/11 EXAM #1

HIGHER-ORDER DIFFERENTIAL EQUATIONS (mostly 2nd order)
W 2/13 motivation, terminology            4.1
F 2/15 y=exp(lambda t), Euler's formula   4.3      HW3
M 2/18
W 2/20
F 2/22 judicious guessing (undet. coeff)  4.4      HW4
M 2/25                                    4.6
W 2/27 variation of parameters
F 3/01                                             HW5
M 3/04
W 3/06 EXAM #2
F 3/08 snow day

(spring break)

LAPLACE TRANSFORMS
M 3/18 definition, inverse transforms     7.1-2
W 3/20 derivatives, solving ODEs
F 3/22 s-translation                      7.3.1
M 3/25 t-translation (Heaviside func)     7.3.2    HW6
W 3/27
F 3/29 Dirac delta function               7.5
M 4/01                                             HW7
W 4/03 periodic funcs                     7.4.3
F 4/05 convolution
M 4/08                                             HW8
W 4/10 EXAM #3

SERIES SOLUTIONS
F 4/12 power series review                6.1.1
M 4/15 solutions about ordinary points    6.1.2
W 4/17 regions of convergence
F 4/19

SYSTEMS OF DIFFERENTIAL EQUATIONS
M 4/22 matrices and vectors               AppII.1  HW9
W 4/24 Ax=b, determinants
F 4/26 ODEs in matrix form, eigenvalues   8.1
M 4/29 real eigenvalues, distinct         8.2.1    HW10
W 5/01 real eigenvalues, repeated         8.2.2
F 5/03 complex eigenvalues                8.2.3
```