Information for Math 310-3: Ordinary Differential Equations
Spring 2012

Review material that has been posted through the semester.

The information on the syllabus appears below. It is also available as a single PDF file. Jump to the Homework.
Lectures: MWF 1:30-2:20am, Niccols 6
Instructor: Alexander Woo, Brink Hall 312, phone: 885-6741, awoo@uidaho.edu
Office hours: Monday 9-10, Tuesday 3-4, Wednesday 2:30-4, Thursday 1:30-3, and by appointment. These are the times I promise to be in my office and available. You are also welcome at any time to check if I am available, either in person or by telephone.
Objecives:
  • To improve the ability to reason abstractly and quantitatively and the ability to communicate such reasoning and its results.
  • To understand various methods of finding exact solutions to differential equations.
  • To understand various methods for understanding properties of solutions to differential equations even when exact formulas for solutions cannot be found.
  • To understand methods for finding approximations to solutions to differential equations.
  • To understand some ways differential equations can be used to model situations outside of mathematics.
Text: Edwards and Penney, Differential equations and boundary value problems: Computing and modeling, 4th edition
Grading: Points are given as follows:
Homework about 200 points
Tests 100 points per test (there are 3)
Final 200 points
The homework will be graded with 5 points per problem and the grade scaled accordingly at the end. This adds up to 700 points. You should expect that about 600 points will be needed for an A, 500 points for a B, and 400 points for a C. The points for an A is based on an expectation of about 90 percent for the quizzes and homework and 85 percent for the tests and final.
Homework: There will be a homework assignment due on most Fridays. They will be assigned before class each Monday. Half the homework grade will be based on a random sample of problems graded from each assignment. The other half of the homework grade will be based on the percentage of other ungraded problems you complete. Note that answers to almost every problem are in the back of the book; in most cases answers without work will not count.
Exams: There will be three tests in class, tentatively on February 13, March 9, and April 16. You should let me know about any conflicts preventing you from taking a test in class on the scheduled dates at least one week in advance. Make-up tests will only be given for documented, important conflicts in accordance with the one week policy, or for genuine documented emergencies.
The final exam will be on Thursday, May 10 at 12:30. Requests to take the final at a different time must be made in writing and be approved by me, the department chair, and the dean. Except in the case of a documented emergency, missing the final exam will result in a grade of F.
Student Disabilities: Reasonable accomodations are available for students with documented temporary or permanent disabilities. All accomodations must be approved through Disability Support Services in order to notify your instructor(s) as soon as possible regarding accomodation(s) needed for the course.
If you have a disability of some kind which requires accomodation, please talk to Disability Support Services as soon as possible. If there is anything I can do to help you, please talk to me as well.

Homework

Homework 1 (January 20) Section 1.1: 1, 2, 5-8, 15, 16, 27, 28, 33-36
Section 1.2: 3, 4, 8, 10, 11, 14, 19, 27, 31, 32
Homework 2 (January 27) Section 1.3: 7, 8, 13-16, 25, 28-30
Section 1.4: 1, 2, 11, 12, 19, 26, 28, 37, 38
Homework 3 (February 3) Can be found here. (There are 11 problems from the book and 6 that I wrote.)
Homework 4 (February 10) Can be found here. (There are 15 problems from our textbook and 2 from another differential equations book.)
Homework 4.5 (due never) Section 2.5: 4, 12, 26
Homework 5 (February 24) Can be found here. (There are 7 problems from our textbook and 2 that I wrote.)
Homework 6 (due March 2) Section 3.1: 2, 3, 44
Section 3.2: 1-3, 8, 9, 14
Section 3.3: 4, 5, 8, 9, 13, 14, 21, 22, 33
Homework 7 (due March 9) Can be found here. (There are 8 problems from our textbook and 2 (with many short parts each) that I wrote.)
Homework 8 (due March 30) Section 4.1: 4, 6, 8, 26
Section 4.3: 2a, 4a, 11 (use Euler)
Section 5.1: 11, 12, 22, 23, 24, 31, 32, 33
Section 6.1: 2, 5, 7 (critical points are the same as equilibrium points)
Homework 9 (due April 6) Section 5.2: 1, 2, 5, 6, 10, 11, 17. Draw trajectories for typical solutions by hand.
Homework 10 (due April 13) Section 5.2: 3, 12, 13. Draw trajectories by hand.
Section 5.4: 3, 4. Draw trajectories by hand.
Section 5.5: 1, 2, 5, 9, 13
Homework 10.5 (due never) Can be found here.
Homework 11 (due May 2) Can be found here.
Homework 11.5 (due never) Section 8.2: 2, 3, 12, 13. You don't need to find the recurrence relation; it suffices to find the first 4 nonzero terms (if there are that many) of each power series.