Tues, Thur, 2:30pm to 4:00pm in MAASS-10 starting Tuesday 9th January.
Prof Humphries, BH-1112, Tel: 398-3821, E-mail: firstname.lastname@example.org
Office Hours: Mon 11:30-12:30 and Thurs 4:00-5:00pm in BH-1112, and by arrangement.
First and second order equations, linear equations, series solutions, Frobenius method,
introduction to numerical methods and to linear systems, Laplace transforms, applications.
The intended contents are:
- Introduction: Basic, terminology, classification.
- First Order Equations: Integrating Factors, separable equations, linear and nonlinear equations,
exact equations, existence and uniqueness.
- Second and Higher Order Linear equations: Constant Coefficient homogeneous equations, roots of the
characteristic equation, Wronskians, fundamental and general solutions. Cauchy-Euler Equations.
Nonhomogeneous equations, undetermined coefficients, variation of constants (parameters), reduction of order.
- Series Solutions: Regular Points, Regular Singular Points and Frobenius method.
- The Laplace Transform: Definitions and properties, solving initial value problems,
Discontinuities and Impulses, Convolutions.
- Linear Systems of ODEs: Solutions and stability.
- Introduction to numerical methods and nonlinear differential equations.
but are subject to modification during the semester. Applications will be highlighted
through examples of differential equations throughout the course.
There is no required textbook. Recommended texts include
Previous editions should be just as good. All these books come in two versions, with the more
expensive one having an extra chapter on boundary value problems, which are not in the syllabus of this course.
I will give my own treatment of the material, and will be supplying latexed notes, one chapter at a time. These notes are still under development, and may have some errors, gaps and admissions, so they are not a substitute for coming to class.
- Elementary Differential Equations, 10th edition, by W.E. Boyce and R.C. DiPrima.
- Elementary Differential Equations, 6th edition, by C.H. Edwards and D.E. Penny.
- Differential Equations and Boundary Value Problems, 8th edition, by D.G Zill and W.S Wright.
- Elementary Differential Equations, by W.F. Trench. The pdf of this book is available online for free and legal
The course is intended for students in Honours Mathematics, Physics and Engineering programs.
It is not open to students who have taken MATH 263 (Engineers version of this course) or MATH 315
(Majors version of this course). The only explicit prerequisite is Math 222 or equivalent.
However, it is an Honours course that will be taught
at an honours level and will assume a corresponding level of mathematical sophistication.
I recommend that you only take this course if you are registered or considering registering
in an honours program or have the standing to do so.
Webwork assignments will optional, and will not be
for credit. I recommend you use them for further practice on
the topics when and where you need it.
- Assignments: There will be regular written assignments (about 6 in the semester) .
These will count for 20% of the final mark.
- Midterm: There will be a midterm which
will be worth 20% of the final mark. This is provisionally scheduled to be in the normal class slot
on Thursday 1st March - but this is subject to room availability.
- Final Exam: There will be a formal 3 hour final exam
which will count 60% of the final mark.
- Make up tests will not be given,
and late homework will not be accepted, except for an
absence approved in advance by the instructor.
- Important announcements (including posting of assignments and due dates)
will be made to registered students
by e-mail (via MyCourses)
and/or posted on MyCourses.
- I attempt to reply to e-mail in a timely fashion, but do not expect immediate responses.
I usually will not reply to email sent the day before a test.
Instructor generated course materials (e.g., handouts, notes, summaries, exam questions, etc.) are protected
by law and may not be copied or distributed in any form or in any medium without explicit permission of the
instructor. Note that infringements of copyright can be subject to follow up by the University under
the Code of Student Conduct and Disciplinary Procedures.
- Academic Integrity
The work you hand in should be your own effort; any collaboration must
McGill University values academic integrity. Therefore all students
must understand the meaning and consequences of cheating, plagiarism and
other academic offences under the Code of Student Conduct
and Disciplinary Procedures
for more information).
In accord with McGill University's Charter of Students' Rights, students in
this course have the right to submit in English or in French any written work that is to be graded.