Dr. Neil Balmforth
This course provides an introduction to solution
methods for ODEs.
I. First-order ODEs (integrating factors, separable equations)
II. Second-order, constant coefficient ODEs (real, repeated and complex
roots; homogeneous and inhomogeneous)
III. Systems of ODEs
IV. Laplace Transform methods
V. Fourier series
VI. Solution of partial differential equations by separation of variables
Assessment will involve coursework (homework problems) and examination.
Boyce and DiPrima,
``Elementary differential equations and boundary value problems''
E. Kreiszig, ``Advanced Engineering Mathematics''
Office hours: Mon 1pm, Wed 12pm, Fri 3pm
TA (Xiaowei Li)
office hours : Mon 10:30-12:00 (LSK 300C), Thu 12:30-14:00 (LSK 300B)
Webwork now online
Midterm 1: October 5.
Midterm 2: November 2
Some terse notes
Notes - Oct 17
Notes - Oct 19
Notes - Oct 24
Notes - Oct 31
Notes - Nov 4
Notes - Nov 14
Notes - Nov 16
Notes - Nov 23
Notes - Nov 25
Notes - Nov 28
Sample midterm 2
Additional Laplace transform problems
Sample final-type problems,
Solutions (with a mistake corrected in the
superfluous reduction of order question)
There would be solutions to these too, but my notes have mysteriously
Summarized them again...
Department of Mathematics / Fluid Labs / Neil Balmforth / Courses