Course website for Winter 2009 22B (Differential Equations)

General information

Course code: MAT - 022B - 2
CRN: 40216
Professor: Alexander Coward
Main course textbook: Elementary Differential Equations and Boundary Value Problems (8th Edition) by Boyce and DiPrima
Sections to be covered: 1.1-1.3; 2.1-2.5; 2.7-2.9; 3.1-3.9; 6.1-6.2; 7.1-7.9.

Lecture information

Lectures will all be held on Mondays, Wednesdays and Fridays at 9:00am in Olsen, Room 118.

There will be no lecture on Monday, 19th January, because of Martin Luther King Junior Day. There will be no lecture on Monday, 16th February, because of Presidents' Day.

Homework

Homework will be due every Monday at 1pm, starting in week 2, with the exception of the Homework 2 and Homework 6, which will be due 12 noon on Tuesday, January 20th and Tuesday, February 17th respectively. You should deposit you homework in the marked homework box in the Math Science Building.

See below for a list of homework assignments.

Assessment

The assessment for this course will be in the form of homework, two midterm exams and one final exam. Midterm one will take place in class on Wednesday, 28th January, and will be concerned with material from Sections 1 and 2. Midterm two will take place in class on Wednesday, 25th February, and will be concerned with material from Sections 3 and 6. The final examination will take place on Friday, March 20th, at 10:30am and will be concerned with matierial from the entire course.

Your overall grade will be calculated as follows. Your homework will count for 10%. Your final will count for 50%. Your midterms will count for 20% each.

The use of calculators, books or notes will not be allowed in the examinations, but is positively encouraged when completing the homework. There will be no make-up examinations.

Syllabus

The syllabus for the course is everything covered in lectures as well as everything in the relevant sections of the course book. These are listed here.

Where to get help

The are several ways that you can get help with this course. They are:

My office hours You can see me to discuss you work on Mondays and Wednesdays between 10am and 11am. My office is MSB 2214.
Colin Middleton's Office hours Colin is the TA for this class. You can see him on Tuesdays between 12 noon and 1pm or on Fridays between 11am and 12 noon. His office is Math Science Building 2129.
The Internet Differential equation is an old subject and there are plenty of resources online that you may find helpful. In particular try visiting the student companion site.
Each other Don't forget to talk to your friends about the course and help each other out.

One of the keys to your success in this course is accessing the support that is available to you. Make sure you get help when you need it.

Computer resources

There are several mathematical computer programs which will be illuminating for you to experiment with. I particularly like Maple and there others such as Mathematica and MatLab which you might also like to try. To use these programs on the mathematics department computers you will need to set up an account. Follow this link to do so.

The course book is accompanied by a CD which you should install and use to help you with the exercises.

There is a good tool for plotting graphs here.

Summary of homework assignments

Homework 1 (Due January 12th)
Read sections 1.1 to 1.4 carefully. Do the following exercises: Section 1.1 - 22, 23; Section 1.2 - 3, 8, 15, 17; Section 1.3 - 1-6, 9, 15, 16, 29, 30.

Homework 2 (Due January 20th, 12 noon)
Read sections 2.1 to 2.4 carefully. Do the following exercises: Section 2.1 - 14, 16, 20, 22(b)(c), 30; Section 2.2 - 1, 3, 7, 13, 26, 30(a)-(e); Section 2.4 - 1, 6, 7, 9, 13, 14, 21, 23, 26, 27, 28, 32.

Homework 3 (Due January 26th)
Read sections 2.5 and 2.7 to 2.9 carefully. Do the following exercises: Section 2.5 - 2, 3, 4, 5, 9, 13, 20, 25, 27, 28; Section 2.7 - 1, 4 [only do these if you can use MATLAB], 20, 21; Section 2.8 - 1, 4.

Homework 4 (Due February 2nd)
Read sections 3.1 and 3.2 carefully. Do the following exercises: Section 2.9 - 1, 2, 4, 5, 13; Section 3.1 - 2, 5, 6, 9, 12, 16, 21, 27, 28.

Homework 5 (Due February 9th)
Read sections 3.3 and 3.4 carefully. Do the following exercises: Section 3.2 - 1, 2, 4, 5, 8, 12, 13, 14, 15, 16, 21, 24, 26, 27; Section 3.3 - 1, 2, 5, 6, 9, 12, 17, 21, 27, 28; Section 3.4 - 2, 4, 5, 11, 12, 17, 19, 27, 31, 38, 39.

Homework 6 (Due February 17th, 12 noon)
Read sections 3.5 to 3.7 carefully. Do the following exercises: Section 3.5 - 1, 4, 7, 12, 18, 20, 21, 22; Section 3.6 - 1, 2, 5, 9, 10, 11, 13, 15, 27, 29; Section 3.7 - 1, 5, 16, 21.

Homework 7 (Due February 23rd)
Read sections 3.8, 3.9, 6.1 and 6.2 carefully. Do the following exercises: Section 3.8 - 2, 16, 19, 24, 27, 30; Section 3.9 - 17, 18 [rough, qualitative plots are fine in 17 (c) and 18 (b)]; Section 6.1 - 5, 9, 13, 16, 18; Section 6.2 - 11, 14, 16, 18, 21, 23.

Homework 8 (Due March 2nd)
Read sections 7.1 to 7.3 carefully. Do the following exercises: Section 7.1 - 4, 7, 11, 15; Section 7.2 - 1, 3, 4, 21, 25; Section 7.3 - 13, 16, 18, 24.

Homework 9 (Due March 9th)
Read sections 7.4 and 7.5 carefully. Do the following exercises: Section 7.4 - 4, 6, 8, 9; Section 7.5 - 2, 11, 15, 24, 25, 27.

Homework 10 (Due March 16th)
Read sections 7.6 to 7.9 carefully. Do the following exercises: Section 7.6 - 2, 7, 9, 13, 28; Section 7.7 - 3, 11, 14, 17, 18; Section 7.8 - 5, 8, 17, 19; Section 7.9 - 1, 3, 11.