Dr. Neil Balmforth


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: Tues 1pm, Thurs 1pm

The TA: Hyunju Kwon (hkwon at math.ubc.ca); email them for assistance with WebWork.
Additional (TA) office hours: Wednesday at 4pm, Auditorium Annex 129

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

Midterm-1 date (Section 201): 5th February
Sample midterm 1
Sample midterm 2
Last year's midterm
THE midterm
Worked solution

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

Midterm-2 date (Section 201): 14th March
Sample midterm 1
Sample midterm 2
Terse solutions summary
Last year's midterm
And its solution
THE midterm, plus 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 desgined to enhance your learning experience
Two more sample finals, some quick solutions

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