Math 2250-2 Lecture Notes

M 05/14 - intro to DEs, integration
W 05/16 - velocity/acceleration, slope fields
F 05/18 - existence and uniqueness of solution, separation of variables

M 05/21 - application of separation of variables
W 05/23 - integrating factor and mixture problem
F 05/25 - equilibrium analysis and population models

W 05/30 - continued from friday
F 06/01 - solving linear system with matrices

M 06/04 - solution via row echelon matrices and reduced echelon matrices
W 06/06 - matrix operations and inverses
F 06/08 - finding inverse matrices and determinant

M 06/11 - determinant
W 06/13 - review for exam 1
F 06/15 - exam 1

M 06/18 - review on vectors and linear combinations
W 06/20 - linear independence, span, vector space and subspace
F 06/22 - basis

M 06/25 - linear second order equation, linear independence for functions
W 06/27 - linear independence for functions (cont. from Monday), equation with constant coeffs
F 06/29 - general nth order linear equations

M 07/02 - linear equation with constant coeffs
F 07/06 - review for 5.1-5.3, mechanical vibration, maple worksheet

M 07/09 - methods of undetermined coefficients for solving nonhomogeneours eqn.
W 07/11 - methods of undetermined coefficients from monday, forced mechanical vibrations with maple handout
F 07/13 - review for exam 2

M 07/16 - exam 2
W 07/18 - eigenvalues
F 07/20 - solving ode system using eigenvalues and eigenvectors

M 07/23 - continue with eigenvalue solution --- note maple handout
W 07/25 - system of mass and spring
F 07/27 - laplace transform

M 07/30 - laplace transform and initial value problems
W 08/01 - review