Lectures	Sections in Text	Brief Description
3/28	1.1 - 1.3	Direction fields, introduction to initial-value problems, introduction to computing, HW1 assigned. Matlab: http://math.rice.edu/~dfield/, intro.m
3/30	2.1,2.2	First order linear ODEs, separation of variables
4/2	2.4-2.6	Existence and uniqueness, exact equations, HW1 due, HW2 assigned
4/3 (x-hour)	intro.m	Formal introduction to matlab
4/4	2.7	Introduction to numerical methods, Euler's method, euler.m
4/6	2.3, 2.5	Modeling, population models
4/9	3.1	Second order linear homogrenous ODEs, the characteristic equation, HW2 due, HW3 assigned
4/10 (x-hour)	handout	Introduction to linear algebra for 2x2 matrices: question and answer
4/11	3.3	Wronskian, linear independence
4/13	3.4	Complex roots
4/16	3.5,3.6	Repeated roots, method of undetermined coefficients, HW3 due, HW4 assigned
4/18	3.7	Variation of parameters
4/20	3.8	Mechanical, electrical vibrations,resonance
4/23	3.9	Driven oscillators, resonance, HW4 due, HW5 assigned
4/24 (x-hour)	MIDTERM EXAM	In class portion of midterm exam, take home due tomorrow
4/25	5.1,5.2	Power series, series solutions, radius of convergence
4/27	5.3,5.4	Series solutions about ordinary points, Euler equations
4/30	7.1,7.2	Systems of first order equations, existence and uniqueness, HW5 due, HW6 assigned
5/2	7.3	Further topics in linear algebra
5/4	7.3	Eigenvalues and Eigenvectors
5/7	7.4,7.5	Homogeneous systems, HW6 due, HW7 assigned
5/9	7.6	Unusual eigenvalues
5/11	7.8,9.1	Phase portraits
5/14	9.2,9.3	Almost linear systems (e.g. pendulum), HW7 due, HW8 assigned
5/16	10.1	Boundary value problems
5/18	10.2,10.3	Fourier series, convergence
5/21	10.4	Even and odd functions, representations, HW8 due, HW9 assigned
5/23	10.5	Separation of variables, the heat equation
5/25	10.6	Wave equation
5/28	NO CLASS	Memorial Day
5/29 (x-hour)	10.8	Laplace's equation
5/30		Course wrap up

Scott D. Pauls
Last updated June 25, 2009 14:49:14 EDT