Dr. Neil Balmforth
COURSES
ODEs
This course provides an introduction to solution
methods for ODEs.
The syllabus:
I. Firstorder ODEs (integrating factors, separable equations)
II. Secondorder, 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.
Recommended texts:
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 10:3012:00 (LSK 300C), Thu 12:3014:00 (LSK 300B)
Webwork now online
Midterm 1: October 5.
Solution
Midterm 2: November 2
Solution
Background knowledge
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
Sample midterm 2
Additional Laplace transform problems
Sample finaltype problems,
Solutions (with a mistake corrected in the
superfluous reduction of order question and a sign error
in the ODE in qu. 6)
Sample final
There would be solutions to these too, but my notes have mysteriously
disappeared...
Summarized them again...
