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
The TA:
Yifu Zhou
Remember: work him hard
TA Office hours: TUE 2pm3pm and THU 4pm5pm at LSK 300 (the room next to the Math Learning Center).
Webwork page
There will be no lectures on Friday Sep 22 and Monday November 20
Midterm 1: October 6
Sample midterm 1
Sample midterm 2
Solutions
Solutions to actual midterm
Midterm 2: November 3
Sample midterm 1
Sample midterm 2
Terse solution summary
Midterm 2
Solution
Sample finals
Solutions
Background knowledge
Fun with complex numbers
Notation and more
Some terse notes
Lecture notes I
Lecture notes II
Lecture notes III
Lecture notes IV
Extra notes on IV
Lecture notes V
Table of Laplace transforms,
Additional problems on Laplace transforms,
Lecture notes VI
Lecture notes VI
