Dr. Neil Balmforth
COURSES


ODEs


This course provides an introduction to solution methods for ODEs.

The syllabus:
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.

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 10:30-12:00 (LSK 300C), Thu 12:30-14:00 (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 final-type problems, Solutions (with a mistake corrected in the superfluous reduction of order question)
Sample final There would be solutions to these too, but my notes have mysteriously disappeared... Summarized them again...

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