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.
In class on Wednesday 12 March, we will have a 50-minute test. This is strictly closed-book: calculators and formula sheets are not allowed. There will be questions about eigenfunction series, separation of variables, and boundary-value problems. Students can benefit by memorizing the eigenvalue problems code-named 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.
|08 Feb 2014|
|HW||12 Mar 2014
|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.||06 Mar 2014|
|PP||12 Mar 2014||
In the Trench textbook just mentioned, try some of these problems:
|03 Mar 2014|
Good Textbook Free Online:
The American Institute of Mathematics sponsors an Open Textbook Initiative that makes high-quality 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 11-12.
|03 Mar 2014|
|HW||05 Mar 2014
Here is Assignment 6 (PDF).
Posted later: Solutions (PDF).
|05 Mar 2014|
|RR||Midterm Solutions:||26 Feb 2014|
In class on Wednesday 12 February, we will have a 50-minute test. This is strictly closed-book: 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|
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|
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 in-class 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 piecewise-defined 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
|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 Edelstein-Keshet. The notes come from UBC MATH 103; something similar is presented in every good first-year Calculus course. The ideas here are important prerequisites for the Math 257 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 11:00-11:50, in room MATH 100
Kelly M. Paton
Section 202, MWF 09:00-09:50, in room CHEM B250
Dr. Philip D. Loewen