Math 23
Differential equations
Last updated July 18, 2017 09:28:20 EDT

## Syllabus

The following is a tentative syllabus for the course. This page will be updated irregularly.
On the other hand, the weekly syllabus contained in the Homework Assignments page will always be accurate.

Lectures Sections in Text Brief Description
1/6 1.1-1.3 Introduction
1/7 (x-hour) 2.1,2.2 Integrating factors, separable equations
1/8 2.2,2.6 Separable equations, exact equations
1/10 2.3,2.4 Modelling, existence and uniqueness of solutions
1/13 2.4,2.5 Autonomous equations and population dynamics
1/14 (x-hour) 2.7 Euler's method
1/15 3.1,3.2 Second order equations
1/17 3.2,3.3 Wronskian and complex roots
1/20 MLK day NO CLASS
1/21 (x-hour) 3.4,3.5 Repeated roots, non-homogeneous equations
End of topics for Exam 1
1/22 3.5,3.6 Undetermined coefficients, variation of parameters
1/24 3.6 Variation of parameters
1/27   Review of 1st and 2nd order equations
1/29 3.7,3.8 Spring-mass systems
1/29   EXAM 1
1/31 5.1,5.2 Power series solutions
2/3 5.2,5.3 Solution near an ordinary point
2/5 5.3,5.4 Euler equations
2/7 Carnival NO CLASS
2/10 7.1,7.2 Introduction to matrix algebra
2/11 (x-hour) 7.2,7.3 Linear independence, eigenvectors
End of topics for Exam 2
2/12 7.4,7.5 Homogeneous linear systems
2/14 7.6 Complex eigenvalues
2/17 7.8 Repeated eigenvalues
2/18 (x-hour)   Review of power series and systems of equations
2/19 9.x Overview of non-linear systems
2/19   EXAM 2
2/21 10.1 Partial differential equations
2/24 10.2,10.3 BVPs, Fourier series
2/26 10.3,10.4 Fourier series and its coefficients
2/28 10.5,10.6 Heat equation
3/3 10.5,10.6 Heat equation
3/5 10.7 Wave equation
3/7   Review
3/11   FINAL EXAM

John Bourke
Last updated July 18, 2017 09:28:20 EDT