This page provides official background information for all sections of two courses running this term:
Details about the course layout are available on the Unified Outline Page.
The most recent additions to this list of resources appear at the top. See the Draft Course Outline for policies and contact information.
Code  Due  Details  Last Change 
PP  Practice Assignment 11 is not to be handed in, but students may find these six sample problems on the SturmLiouville theory helpful as guides when studying. Solutions will be posted a few days before the final exam.  09 Apr 2014  
RR 
Office Hours for Exam Prep
The scheduled final exam is on Thursday 24 April, 15:3018:00, room CIRS 1250. (CIRS, the Centre for Interactive Research on Sustainability, is at 2260 West Mall.) All students in both sections write the same test. Students from either section are invited to discuss the material with either instructor. The dates and times below are firm, but the locations may change a little:

07 Apr 2014  
RR 
Extended SturmLiouville Example
Studying SturmLiouville eigenvalue problems gives a nice review of how the Big Four eigenfunction series really work, and how the ideas that drive them can be extended. Here is an extended example that illustrates the full SturmLiouville story, from finding the eigenfunctions to solving some PDE's. Students may find it helpful in confronting Question 5 on Assignment 10. 
02 Apr 2014  
RR 
Resources for Final Exam Preparation
A side benefit of Assignment 10 is supposed to be the “discovery” of a large number of real final exams to study from. Here's a more complete catalogue of helpful resources in this style:

31 Mar 2014  
HW  04 Apr 2014 (FRI) 
For Assignment 10,
start on the Math Department's web page showing
past final exams.
Solve the following five final exam questions and hand in your results.
Posted later: Solutions (PDF). 
04 Apr 2014 
RR 
Excel Worksheets and Supporting Notes
Our classroom presentations this week were largely based on some more thorough notes by UBC's Professor Anthony Peirce. You can find all kinds of good related material on Peirce's MATH 257/316 page, including (but not limited to) the items linked directly from here:

28 Mar 2014  
RR 
Maple Worksheets
The computer algebra system Maple will make helpful intuitionbuilders with each of the following. Explore them in the order shown here:

27 Mar 2014  
HW  28 Mar 2014 (FRI) 
Here is Assignment 9 (PDF).
Don't let the long statements that set up the questions
scare you: some of the wordiest problems have short solutions.
Posted later: Solutions (PDF). 
02 Apr 2014 
HW  21 Mar 2014 (FRI) 
Here is Assignment 8 (PDF).
Please note that the handin deadline is
Friday,
a change from our usual WednesdaytoWednesday rotation.
The last few assignments of the term will also be due
on Fridays.
Posted later: Solutions (PDF). 
21 Mar 2014 
RR  Happy Nowrouz! Here are the solutions for Midterm 2 in Section 201 (11:00) and Section 202 (09:00).  20 Mar 2014  
PP  12 Mar 2014  In Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems (10th ed), some relevant sections and practice problems include

11 Mar 2014 
PP 
Midterm Notes:
In class on Friday 14 March, we will have a 50minute test. This is strictly closedbook: calculators and formula sheets are not allowed. There will be questions about eigenfunction series, separation of variables, and boundaryvalue problems. Students can benefit by memorizing the eigenvalue problems codenamed FSS, FCS, HPSS, HPCS, and FFS and their associated series. Another useful source for guidance is the handout sheet distributed in class on Wednesday 5 March. The tests in the two sections will be similar enough to be fair, but different enough to give no advantage to the students who have a later sitting. Later on this page, students can find a wealth of suggested practice problems, starting with Assignment 7. 
12 Mar 2014  
HW  12 Mar 2014 (WED) 
Here is Assignment 7 (PDF).
Please hand in solutions for the first 5 questions only,
and treat the rest as practice for the upcoming midterm.
Posted later: Solutions (PDF). 
12 Mar 2014 
PP  12 Mar 2014  In the Trench textbook just mentioned, try some of these problems:

03 Mar 2014 
RR 
Good Textbook Free Online:
The American Institute of Mathematics sponsors an Open Textbook Initiative that makes highquality materials available free. A very good text for our course would be William F. Trench, Elementary Differential Equations with Boundary Value Problems. The document is nearly 800 pages long, and it contains over 400 exercises for practice. Go get your own free copy! Then read Chapters 1112. 
03 Mar 2014  
HW  05 Mar 2014 (WED) 
Here is Assignment 6 (PDF).
Posted later: Solutions (PDF). 
05 Mar 2014 
RR 
Midterm Solutions:
Here are the solutions for Midterm One, for Section 202 (09:00) and for Section 201 (11:00). 
26 Feb 2014  
PP 
Midterm Notes:
In class on Wednesday 12 February, we will have a 50minute test. This is strictly closedbook: calculators and formula sheets are not allowed. There will be questions about ODE's, power series, eigenfunction series, and some separation of variables. The tests in the two sections will be similar enough to be fair, but different enough to give no advantage to students who have a later sitting. Later on this page, students can find a wealth of suggested practice problems, starting with Pretend Assignment 5. 
08 Feb 2014  
PP 
Suggestions for Practice:
If you have access to the 9th edition of the text, Elementary Differential Equations and Boundary Value Problems, by Boyce and DiPrima, you could sharpen your skills by trying some problems from the list below. Of course you can't solve all these problems, and nobody expects you to try. What you can do, however, is make sure that you know how to solve all these problems, and build up your strength and skill by doing a selection of them that you find most appealing.

11 Feb 2014  
PP  (none) 
Here is Pretend Assignment 5 (PDF).
This is not a real assignment because you never have to hand it in.
However, it should provide excellent practice to help you prepare
for the inclass test scheduled for Wednesday 12 Febuary 2014.
Posted later: Solutions. 
10 Feb 2014 
RR  Here, for your reference, are some formal notes on eigenfunction series. These cover all the examinable material for the test next week, and should mostly be familiar from our time together in class.  08 Feb 2014  
RR  Here are some pictures showing all “Big 4” expansions for a certain piecewisedefined function.  07 Feb 2014  
RR  Here is a handout describing the Big 4 Eigenproblems (PDF). Actual paper copies will be distributed in class on 7 Feb 2014.  06 Feb 2014  
HW  05 Feb 2014 (WED) 
Here is Assignment 4 (PDF). Posted later: Solutions (PDF).  06 Feb 2014 
HW  27 Jan 2014  Here is Assignment 3 (PDF). Posted later: Solutions (PDF).  21 Jan 2014 
HW  20 Jan 2014  Here is Assignment 2 (PDF). Posted later: Solutions (PDF).  21 Jan 2014 
RR  13 Jan 2014  UBC's own Professor Anthony Peirce taught MATH 257/316 last term, and his course page is still serving a full set of very nice lecture notes. Relevant items for us include his PDF documents on the topics listed below.  10 Jan 2014 
RR  13 Jan 2014  Here are some nice lecture notes about Infinite series, improper integrals, and Taylor series (PDF), by UBC's own Professor Leah EdelsteinKeshet. The notes come from UBC MATH 103; something similar is presented in every good firstyear Calculus course. The ideas here are important prerequisites for the Math 316 material in Week Two.  10 Jan 2014 
HW  13 Jan 2014  Here is Assignment 1 (PDF). Posted later: Solutions (PDF).  21 Jan 2014 
RR  Here is a copy of the
final exam from December 2012.
The Math Department has a whole page of
past final exams,
including many from this course.
Sometimes the instructors allow or provide a formula sheet for the final exam, and sometimes they don't. The policy for 2014 has not yet been finalized. 
06 Sep 2013 
Codes: RR = reading/reference; PP = practice problems (not to hand in); HW = homework problems (to be submitted); EXAM = midterm or final exam materials.
Section 201, MWF 11:0011:50, in room MATH 100
Kelly M. Paton

Section 202, MWF 09:0009:50, in room CHEM B250
Dr. Philip D. Loewen

Last update: 09 Apr 2014 (Wed), 11:12:25. (Click a graphic to recheck.)