Dr. Neil Balmforth


This course provides an introduction to solution methods for ODEs.

Instructors: Section 101 - Neil Balmforth, Section 102 - Thomasina Ball

NJB is away for the week of Sep 16-20; video lectures in place of live ones will be posted here shortly
Segment 1
Segment 2
Segment 3
If all else fails, try this
You tube versions, which might stream better:
Lecture 1
Lecture 2
Lecture 3

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:
Section 101 - Wed 1pm, Fri 1pm (Math 229C);
Section 102 - Tues 11am, Thurs 11am (LSK300C)

The TAs: David Gong (101) (davidgong at math.ubc.ca) and Katie Faulkner (102) (kfaulkner at math.ubc.ca); email them for assistance with WebWork.
Additional (TA) office hours: Monday 2-3pm (Math 204; KF), Tuesday 3-4pm (AUDX 157; KF), Friday 3-5pm (Math 202; DG)

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

Suggested Midterm-1 date: October 2nd
Sample midterm 1
Sample midterm 2
Last year's midterm

Lecture notes I
Lecture notes II
Lecture notes III
Lecture notes IV
Lecture notes V

Suggested Midterm-2 date: November 4th
Sample midterm 1
Sample midterm 2
Terse solutions summary
Last year's midterm
And its solution

Lecture notes VI
Lecture notes VII

Sample finals
Solutions -- solution to 1 in part I of "more final problems" is (b) not (a) Watch out for helpful typos in answers for b_n, that are cleverly designed to enhance your learning experience
Two more sample finals, some quick solutions

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