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gibson:teaching:spring-2013:math527:syllabus [2013/01/22 10:21] gibson |
gibson:teaching:spring-2013:math527:syllabus [2013/04/15 12:58] (current) gibson |
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FIRST-ORDER DIFFERENTIAL EQUATIONS | FIRST-ORDER DIFFERENTIAL EQUATIONS | ||
F 1/25 definitions, separable eqns 2.2 | F 1/25 definitions, separable eqns 2.2 | ||
- | M 1/28 1st order linear (var of params) 2.3 HW0 (ungraded but checked for style) | + | M 1/28 1st order linear (var of params) 2.3 |
- | W 1/30 exact equations 2.4 | + | W 1/30 exact equations 2.4 HW1 |
- | F 2/01 substitutions 2.5 HW1 | + | F 2/01 substitutions 2.5 |
M 2/04 examples | M 2/04 examples | ||
W 2/06 question and answer HW2 | W 2/06 question and answer HW2 | ||
- | F 2/08 EXAM #1 | + | F 2/08 snow day --no class |
+ | |||
+ | M 2/11 EXAM #1 | ||
HIGHER-ORDER DIFFERENTIAL EQUATIONS (mostly 2nd order) | HIGHER-ORDER DIFFERENTIAL EQUATIONS (mostly 2nd order) | ||
- | M 2/11 motivation, terminology 4.1 | + | W 2/13 motivation, terminology 4.1 |
- | W 2/13 y=exp(lambda t), Euler's formula 4.3 | + | F 2/15 y=exp(lambda t), Euler's formula 4.3 HW3 |
- | F 2/15 under, critical, and overdamping 5.1 HW3 | + | M 2/18 |
- | M 2/18 | + | W 2/20 |
- | W 2/20 judicious guessing (undet. coeff) 4.4 | + | F 2/22 judicious guessing (undet. coeff) 4.4 HW4 |
- | F 2/22 HW4 | + | M 2/25 4.6 |
- | M 2/25 variation of parameters 4.6 | + | W 2/27 variation of parameters |
- | W 2/27 question and answer | + | F 3/01 HW5 |
- | F 3/01 EXAM #2 | + | M 3/04 |
- | + | W 3/06 EXAM #2 | |
- | LAPLACE TRANSFORMS | + | F 3/08 snow day |
- | 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) | (spring break) | ||
- | M 3/18 t-translation (Heaviside func) 7.3.2 | + | LAPLACE TRANSFORMS |
- | W 3/20 transforms: deriv, convolution 7.4.1-2 | + | M 3/18 definition, inverse transforms 7.1-2 |
- | F 3/22 transforms: periodic funcs 7.4.3 HW6 | + | W 3/20 derivatives, solving ODEs |
- | + | F 3/22 s-translation 7.3.1 | |
- | M 3/25 Dirac delta function 7.5 | + | M 3/25 t-translation (Heaviside func) 7.3.2 HW6 |
- | W 3/27 question and answer | + | W 3/27 |
- | F 3/29 EXAM #3 | + | F 3/29 Dirac delta function 7.5 |
- | + | M 4/01 HW7 | |
- | SERIES SOLUTION | + | W 4/03 periodic funcs 7.4.3 |
- | M 4/01 power series review 6.1.1 | + | F 4/05 convolution |
- | W 4/03 solutions about ordinary points 6.1.2 | + | M 4/08 HW8 |
- | F 4/05 regions of convergence HW7 | + | W 4/10 EXAM #3 |
- | + | ||
- | 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 | + | |
+ | 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 | SYSTEMS OF DIFFERENTIAL EQUATIONS | ||
- | M 4/15 matrices and vectors AppII.1 | + | M 4/22 matrices and vectors AppII.1 HW9 |
- | W 4/17 Ax=b, determinants | + | W 4/24 Ax=b, determinants |
- | F 4/19 ODEs in matrix form, eigenvalues 8.1 HW9 | + | F 4/26 ODEs in matrix form, eigenvalues 8.1 |
- | | + | M 4/29 real eigenvalues, distinct 8.2.1 HW10 |
- | M 4/22 real eigenvalues, distinct 8.2.1 | + | W 5/01 real eigenvalues, repeated 8.2.2 |
- | W 4/24 real eigenvalues, repeated 8.2.2 | + | F 5/03 complex eigenvalues 8.2.3 |
- | 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 | ||
</code> | </code> |