##
Winter 2014: Math 215, Section 202: Differential Equations

`http://www.math.ubc.ca/~coombs/215/math215.html`

Instructor: Dr. Daniel Coombs.

Office hours: Mathematics Annex, Room 1109. Weds 2pm-4pm and by appointment. I will also usually be available right after class for quick questions.

**Math department tutoring centre** is located in LSK 301/302.

Email: coombs (at) math (dot) ubc (dot) ca

Office phone: 604-822-2859

**Text:**
Our main reference will be the online textbook Diffy Qs by Lebl. You can download the book (for free) or order a copy (for cheap) to be sent to you from this page:
http://www.jirka.org/diffyqs.

Additional free online notes are available at the following sites:

http://tutorial.math.lamar.edu/Classes/DE/DE.aspx

http://www.math.ust.hk/~machas/

http://www.springerlink.com/content/p78848/?MUD=MP
(for the last link you will need to be accessing from UBC, either directly or via VPN:
http://www.it.ubc.ca/service-catalogue/internet-and-telephone/network-management/myvpn)

You can also consult physical textbooks. Some favourites are Boyce and DiPrima (any recent edition) and Edwards and Penney. Boyce and DiPrima has often been used at UBC.

**Clickers** will be used in this course. Everyone needs to get a clicker (available from the bookstore).

Link to webpage for section 101.
### Important Dates:

First class: 9am, January 6th, 2014.
Midterm test 1: Thursday, January 30th 6.45pm-7.45pm. Wesbrook 100.
Midterm test 2: Thursday, February 27th 6.45pm-7.45pm. Wesbrook 100.
Midterm test 3: Thursday, March 27th 6.45pm-7.45pm. Wesbrook 100.
Final exam: **Wednesday, April 16th, 12pm, SRC C **

Note: You must inform me before 10am on January 10th if you will have any problem attending the midterm tests as listed above.
### Grading

The breakdown of marks between course elements will be as follows:
Final exam: 50%. Midterms: 10% each. Webwork 10%. Written homework, clicker questions, quizzes and other activities: 10% total.
Missing a midterm normally results in a mark of 0. Exceptions may be
granted in two cases: prior consent of the instructor or a medical
emergency. In the latter case, the instructor must be notified within 48
hours of the missed test, and presented with a doctor's note immediately
upon the student's return to UBC. No make-up midterms will be given.
Term marks may be scaled up or down on a
classwide basis, depending on performance on the final exam. This is to ensure
fairness across both sections of the course.
You have to submit only your own Webwork, own homework, own clicking, etc. Although you are welcome to study together and discuss the homework with other students, the work you submit (electronically, on paper, or via clickers) must be your own. UBC policies on cheating and plagiarism are extremely strict. If in doubt, enquire before submitting.
### Homework

Click here to link to webwork.
Webwork assignment one has been assigned and must be completed by 9am on Friday, Jan 17.
Webwork assignment two has been assigned and must be completed by 9am on Friday, Jan 24.
Homework assignment 1. You should work on all the problems. However, please submit only the following solutions: 1e, 2, 4. Due in class on Jan 20th.
Solutions to HW1 (updated (twice) to remove some errors).
Homework assignment 2. You should work on all the problems. However, please submit only the following solutions: 2, 5, 8. Due in class on Jan 27th.
Solutions to HW2 (updated to match assignment problems).
Webwork assignment three has been assigned and must be completed by 9am on Friday, Jan 31.
Homework assignment 3. You should work all the problems. However, please submit only the solution to problem 2. Due in class on Friday, Feb 14th.
Solutions to HW3 (includes some additional problem solutions).
Webwork assignment five has been assigned and must be completed by 9am on Friday, Feb 28th.
Homework assignment 4. You should work all the problems. However, please submit only the solutions to problems 4 and 7. ~~Due in class on Friday, March 7th.~~** Due on Monday, March 10th in class**
Solutions to HW4.
Webwork assignment six has been assigned and must be completed by 9am on Monday, March 10th.
Webwork assignment seven has been assigned and must be completed by 9am on Friday, March 14th.
Homework assignment 5. You should work all the problems. This homework will not be collected, but some of this material will certainly be on the midterm test.
Solutions to HW5.
Webwork assignment eight has been assigned and must be completed by 9am on Friday, March 28th.
Homework assignment 6.
Solutions to HW6.
Webwork assignment nine has been assigned and must be completed by midnight on on Tuesday, April 8th.
### Selected course notes

January 6 class notes.
January 8 class notes.
January 10 class notes.
January 13 class notes.
January 15 class notes.
January 17 class notes.
January 20 class notes.
January 22 class notes.
January 24 class notes.
January 27 class notes.
January 29 class notes.
January 31 class notes.
February 3 class notes.
**Notes on Nonlinear Systems** (by Prof Gustafson).
February 5 class notes.
February 7 class notes.
February 12 class notes.
February 14 class notes.
February 24 class notes.
February 26 class notes.
February 28 class notes.
March 3 class notes.
March 5 class notes.
March 7 class notes.
March 10 class notes.
March 12 class notes.
March 14 class notes.
March 17 class notes.
March 19 class notes.
March 21 class notes.
March 24 class notes.
March 26 class notes.
March 28 class notes.
March 31 class notes.
April 2 class notes.
Euler's method spreadsheet.
April 4 class notes.
Improved Euler method spreadsheet.

### Midterms

Midterm 1 topics sheet.
Midterm 1 Solutions.
Midterm 2 topics sheet.
Midterm 2 Solutions.
Midterm 3 topics sheet.
Table of Laplace transforms that will be attached to midterm 3.
Midterm 3 Solutions.

### Final Exam

Final topics sheet.
The table of Laplace transforms will be attached to the exam (same as midterm 3).
A practice final tailored to this year's course. From section 101.
**Solutions to that practise final**.
Previous math 215 exams. **Note that different topics receive more or less emphasis in different years.**
UBC Math Exam Resources wiki.
UBC Math club.Will sell you some previous exams with solutions for $10. Carefully note their opening hours.

Daniel Coombs
/ Department of Mathematics /
University of British Columbia