Math 234: Differential Equations
New!
Lecture notes for February 24  27 are posted
here .
There may be some misprints here and there. Please let me know
if you find any.
About the Mid Term Exam:
The Test will cover linear equations and linear systems of firstorder and
higher order. This will include:
* all of chapter 3 of the textbook
* firstorder linear systems, including the material covered in the
handout
http://www.math.toronto.edu/rjerrard/234/systems.pdf
(up through the end of Section 4.1) and covered on the homework assignment
http://www.math.toronto.edu/rjerrard/234/assignment1.pdf.
Material from the last part of the above notes (Section 4.2 and later),
as well as from this week's lectures,
will NOT be covered until some later quiz or test.
* in principle there might be material on firstorder linear equations
from chapter 2 (eg, section 2.1). It is helpful to review this in any
case, if you have time, to see the how it relates to the secondorder
equations and firstorder systems that we have discussed more recently.
Instructors
Lecturers 
contact information 
office hours 
Robert Jerrard LEC 01  3145 ES

Monday 45pm 
Wolfgang Staubach LEC 02  4051 SS
wolf@math.utoronto.ca (416) 9783484 
TBA 
Text
Boye and DiPrima,
Elementary Differential Equations and Boundary Value Problems,
seventh edition. Any version of the seventh edition is okay  you are not
required to get the ``Course Advantage Edition''.
Marking Scheme.
Marks will be based on
Terms Tests, one Midterm Exam, and
a Final Exam.
Policies regarding the use of calculators and aid sheets on exams will be
announced within a couple of weeks.
The marking scheme is summarized in the following table.
what 
tentative time 
percentage of final course mark 
Term Test 1  Tuesday February 4, 34:30pm 
15% 
Mid Term Exam  Tuesday, March 11, 35pm 
30% 
Term Test 2  Tuesday March 25, 34:30pm 
15% 
Final Exam  to be announced 
40% 
Homework
Problem sets and related information will be posted online.
Problems will not be marked, but solutions will be posted online,
and if there are problems that you do not understand, you should
check them against the online solutions.
Doing the homework promptly is essential to learning the
material.
Tutorials
Tutorials will take place according to the following schedule:
Tutorial 
when and where 
TUT 1/01 
Tuesdays 34:30pm, SF3201

TUT 1/02 
Tuesdays 34:30pm, SF3202

starting on January 14. The tutorial time slot will be used for
the Term Tests and perhaps also for the Midterm Exam.
Course Outline
Topics will include
 First order ODEs (Chapter 2 of the textbook)
 linear equations
 separable equations
 autonomous equations
 exact equations
 some applications
 linear equations of higher order (Chapters 3 and 4 of textbook)
 homogeneous 2nd order equations
 nonhomogeneous 2nd order equations
method of undetermined coefficients, variation of parameters
 applications
 higherorder equations
 firstorder systems of linear equations (Chapter 7 of the textbook
and handouts of lecture notes)
 review of matrices; matrix exponentials
 solution of firstorder systems with constant coefficients
 Laplace transform (Chapter 6 of the textbook)
 Definition and basic propoerties
 Laplace transform of derivatives, inverse Laplace transform
 Solving ODEs using Laplace transform
 Partial differential equations (Chapter 10 of the textbook)
 The concept of partial differential equations
 some facts about fourier series
 The method of separation of variables
 the heat equation and wave equation
 Laplace's equation