Math 23
Differential equations
Last updated March 14, 2014

General Information Syllabus Homework Exams & Paper Links

Syllabus

The following is a tentative syllabus for the course.


Lectures Sections in Text Brief Description
Monday 3/24 1.1-1.3 Introduction
Wednesday 3/26 2.1, 2.2 Integrating factors, separable equations, Picard's Theorem
Friday 3/28 2.3-2.6 Singularity, slope fields, exact equations
Monday 3/31 2.6 Exact equations and integrating factors
Wednesday 4/2 3.1 Second order constant coefficient linear homogenous ODEs: some examples
Friday 4/4 3.7-3.8 Hooke's law and the spring
Monday 4/7 3.1-3.4 Second order equations
Wednesday 4/9 3.5, 3.6 Variation of Parameters
Friday 4/11 4.1-4.3 Nth order homogeneous equations
Monday 4/14 7.1-7.5 Systems of equations, eigenvalues and eigenvectors
Wednesday 4/16 7.6 Complex roots
Friday 4/18 7.8 Repeated roots
Monday 4/21   Review for Midterm
Wednesday 4/23 9.1-9.3 Nonlinear systems, critical points, phase portrait
Friday 4/25 9.4, 9.5 More nonlinear examples, competing species
Monday 4/28 5.1, 5.2 Series solutions at ordinary points, paper topic
Wednesday 4/30 5.3 Series solutions at ordinary points
Friday 5/2 5.5 Series solutions at singular points
Monday 5/5 5.6 Series solutions at singular points, paper check-in
Wednesday 5/7 5.7 Nonlinear, Lorenz equation
Friday 5/9 10.1, 10.5, 10.6 Heat Equation
Monday 5/12 10.2, 10.3 Fourier Series
Wednesday 5/14   Diffusion, Paper check-in
Friday 5/16 10.7 Wave equation: string
Monday 5/19 10.7 Wave equation: string and rectangular drum
Wednesday 5/21 10.7 Wave equation: round drumhead
Friday 5/23   Review
Monday 5/26   NO CLASS!
Wednesday 5/28   Review