Fall 2014 - MATH 215/255 - Section 101

Ordinary Differential Equations


Kevin Henriot

Office: Mathematics building, M209
Email: khenriot (at) math (dot) ubc (dot) ca
Office hours: Monday 2:00-3:30 PM, Thursday 10:30-12:00 AM.
Office hours room: Leonard S. Klinck building, LSK300B/LSK300C.

Uncollected homework/midterms are placed in front of my office, and can be picked up there anytime the hall door is unlocked, which is usually the case between 10AM and 6PM.

Class schedule

We meet on Mondays, Wednesdays and Fridays from 8:00 to 9:00 am, from September 3 to November 28, in room 201 of the Leonard S. Klinck building.


Final exam date: December 15, 3:30 PM.

Final exam date: SRC A or B or C, precise room TBA.

Exam conflicts/hardships:

If a student has an exam conflict or hardship, he should contact me by email as soon as possible so that an arrangement may be found with the math department. An exam hardship is defined as three exams within 24 hours, and an exam conflict can be two exams at the same time, a religious holiday, or another serious problem.

Content of the final exam (tentative, to be confirmed soon):

[Lebl's textbook and the complementary draft chapter]
Chapter 1 except § 1.5
Chapter 2 except § 2.3
Chapter 6 except § 6.2.4, 6.3.3, 6.4.4
Chapter 3 except § 3.6.1, 3.8, 3.9.1, 3.9.3 but including the method of undetermined coefficients in § 3.9.1
Chapter 8 (the draft one) except § 8.2.3, 8.4, 8.5.

Subsection 1.9.

Recommended preparation for the final exam:

To learn or relearn the course material, the students are encouraged to read or at least check the examinable content in Lebl's book, and to consult the complementary sources (see "References"), which cover many topics from the course, but not all of them and not always in the same fashion. The book by Boyce and di Prima is a classic, but is slightly too exhaustive for this course. The book by Logan is excellent, but a bit difficult for this course. The sections from these books which are relevant to this course are listed below (many of them contain non-examinable material: consider them as optional secondary sources of information).

[Boyce and di Prima]
1.1, 1.2, 1.3
2.1, 2.2, 2.3, 2.6, 2.7
3.1, 3.2, 3.3, 3.5, 3.6, 3.7, 3.8
6.1, 6.2, 6.3, 6.5, 6.6
7.1, 7.2, 7.4, 7.5, 7.6, 7.8, 7.9
9.1, 9.2, 9.3

1.1, 1.2, 1.3, 1.5, 1.6, 1.8
2.1, 2.2.2
3.2, 3.3, 3.4.4, 3.7
4.1, 4.2, 4.3, 4.4, 4.5
6.2, 6.3, 6.5

To prepare for the final exam, the students are also encouraged to try the practice final exam (to be put online soon), to try again the homework assignements and midterm exercises, and to try the exercises in the official or complimentary sources.

Midterm 1 solution.
Midterm 2 solution.

Practice exams:

2009 Midterm 1, solution.
2010 Midterm 1, solution.
2009 Midterm 2, solution.
2010 Midterm 2, solution.


Official sources:
Lebl - Differential equations for engineers. Freely available here. We also use the extra draft chapter on nonlinear systems.
Braun - Differential equations and their applications, subsection 1.9. Used for exact equations.

Complementary sources:
Boyce and di Prima - Elementary differential equations and boundary value problems, any edition.
Logan - A first course in differential equations, 2nd edition. Accessible from the UBC library here.


Homework is due weekly (outside midterm weeks) on Wednesdays, before the beginning of the class. Please remember to clip your homework and make sure your name is on it before handing it out.

Homework 1, solution, September 17.
Homework 2, solution, September 24.
Homework 3, solution, October 8.
Homework 4, solution, October 15.
Homework 5, solution, October 22.
Homework 6, solution, October 29.
Homework 7, solution, November 12.
Homework 8, solution, November 19.
Homework 9 is due November 26.

Lecture notes

1.x Exact equations
1.6 Autonomous equations
1.7 Euler's method
2.1 Second order linear ODEs
2.2 Constant-coefficient second order linear ODEs
2.4 Mechanical vibrations
2.5 Non-homogeneous linear ODEs
2.6 Resonance