channelflow.org

INTRO
M  8/29 intro, pep talk
W  8/31 calc review, ODEs to know on sight

FIRST ORDER SYSTEMS
F  9/02 defn 1st order, separable          HW1 due
W  9/07 1st order linear (var of params)
F  9/09 exact equations                    HW2 due
M  9/12 substitutions
W  9/14 examples
F  9/16 EXAM #1                            sample problems

HIGHER-ORDER SYSTEMS
M  9/19 motivation, terminology
W  9/21 y=exp(lambda t), Euler's formula
F  9/23 under, critical, and overdamping   HW3 due
M  9/26 judicious guessing (undet. coeff)
W  9/28 variation of parameters         
F  9/30 examples                           HW4 due
M 10/03 cauchy-euler                              
W 10/05 examples                                
F 10/07 EXAM #2                            sample problems

LAPLACE TRANSFORMS
T 10/11 definition, inverse transforms
W 10/12 transform of derivative, IVPs
F 10/14 s-translation                      HW5 due
M 10/17 t-translation (Heaviside func)
W 10/19 derivative of transform
F 10/21 transforms of periodic funcs       HW6 due
M 10/24 Dirac delta function
W 10/26 examples
F 10/28 EXAM #3                            sample problems

SERIES SOLUTIONS
M 10/31 power series review
W 11/02 manipulating series
F 11/04 solutions about ordinary points    HW7 due
M 11/07 more solns
W 11/09 bessel functions
F 11/11 legendre polynomials               HW8 due

SYSTEMS OF EQUATIONS
M 11/14 matrices and vectors, 
W 11/16 Ax=b, determinants
F 11/18 ODEs in matrix form,eigval         HW9 due
M 11/21 distinct real roots
W 11/23 distinct complex roots             HW10 due
(thanksgiving)
M 11/28 repeated roots
W 11/30 phase plane
F 12/02 EXAM #4                            sample problems

NUMERICAL METHODS
M 12/05 Euler method
W 12/07 Runge-Kutta
F 12/09 Lorenz system                      HW11 due