Dr. Neil Balmforth
COURSES
ODEs
This course provides an introduction to solution
methods for ODEs.
Instructors:
Section 201  Neil Balmforth,
Section 202  Laurent MacKay,
Section 203  Miranda HolmesCerfon
Anouncements: the course webpage on CANVAS provides more information
and details about this course
Some video lectures:
Lecture 1
(linear, secondorder, constantcoefficient ODEs)
Lecture 2
(sample ODE problems)
Lecture 3
(mechanical oscillators)
PDE example
(material at the very end of the course)
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"
Online "Notes on Diffy Qs" by J. Lebl
Office hours: Monday at 1pm, Tuesday at 1pm
The TAs:
Jiahao Gong (davidgong@math),
Tuoxin Li (tuoxin@math),
Fatemeh Saghafifar (fsaghafi@math)
(email them for assistance with WebWork and more)
Extra problem, page
1,
2,
3,
4
Background knowledge
Fun with complex numbers
Notation and more
Some terse notes
Coursework involves Webwork, which must be accessed via Canvas: login using your CWL, then
click on Assignments and Webworking
Midterm1 date:
Sample midterm 1
Sample midterm 2
Solutions
Another year's midterm
Actual midterm,
brief solution
Lecture notes I
Lecture notes II
Lecture notes III
Lecture notes IV
Lecture notes V
Laplace transform table
Midterm2 date:
Sample midterm 1
Sample midterm 2
Terse solutions summary
(there is a minor hiccup in question 3 of part 1 for the second sample,
which is answering a slightly different question  the sign of a has switched)
Another year's midterm
And its solution
Lecture notes VI
Lecture notes VII
Two sample finals,
some quick solutions
More finals
