[09.27.2012] The Final Exam will be Thursday December 20 from 130-430PM in Johnson Track (upstairs).

[09.25.2012] Midterm 1 has been rescheduled to Wednesday October 3 during class time. The exam is in Walker, 50-340. Midterm 2 has been rescheduled to Wednesday Oct 24 during class time.

[09.21.2012] There has been a mistake in the midterm scheduling. Please see the Piazza post on the topic, and respond to the poll. Sorry for the inconvenience!

[09.19.2012] Thrilling Resolution! The mathlets page is back up. The link is below.

[09.19.2012] Distaster! The mathlets page is down. We have posted alternative links to the mathlets you will need at the bottom of this page.

[09.11.2012] Some practice problems have been posted on the Problem Set page.

[09.05.2012] Welcome to the semester! Our first lecture falls on this date.

[09.02.2012] The webpage is up! Please make sure to read the Syllabus, and check the Schedule for reading.

COURSE DESCRIPTION

Study of ordinary differential equations (ODEs), including modeling physical systems. Solution of first-order ODEs by analytical, graphical, and numerical methods. Linear ODEs, primarily second order with constant coefficients. Complex numbers and exponentials. Inhomogeneous equations: polynomial, sinusoidal, and exponential inputs. Oscillations, damping, resonance. Fourier series inputs; resonant terms. Laplace transform methods; convolution and delta function. Matrix methods for first order linear systems: eigenvalues and eigenvectors, matrix exponentials, variation of parameters. Nonlinear autonomous systems: critical point analysis, phase plane diagrams, applications to modeling.

Corequisite: 18.02

Text Book: Edwards and Penney, Elementary Differential Equations with Boundary Value Problems, Sixth edition.

Basic information and course policies can be found in the Syllabus above.

A list of topics covered and a reading list can be found in the Schedule above.

The dates of the in-class midterms can be found in the Exam page above.

Mathlets is a tool we will be using often, and can be found HERE.