Math 316,
Differential Equations
Winter 2000 Peter Selinger |

**Course Description:** This course is an introduction to
differential equations for students who have studied linear
algebra. You will learn about exact and approximate techniques for
solving differential equations, as well as methods for predicting the
qualitative behavior of the solutions. We will prove theorems about
the existence and uniqueness of solutions. Throughout the course, we
will consider applications to physical
problems. I will give proofs in class, and the homework will
contain computational as well as more conceptually oriented
problems. Contents: First-order equations: solutions, existence and
uniqueness, and numerical techniques; linear systems:
eigenvector-eigenvalue solutions of constant coefficient systems,
fundamental matrix solutions, nonhomogeneous systems; higher-order
equations, reduction of order, variation of parameters, series
solutions; qualitative behavior of systems, equilibrium points,
stability.

**Prerequisites:** Math 215 or 285, and Math 217.

**Textbook:** Boyce and DiPrima. *Elementary Differential
Equations, Sixth Edition*. Wiley, 1997.

**Course Work:** There will be weekly homework assignments. We will
have two in-class midterms and a final exam. The final exam is
scheduled for Tuesday,

**Grading:** Grades will be based on the exams and homework.
Performance in class may be taken into account. Each midterm counts
20%, the final 35%, and the homework 25%.

**Office Hours:** To be announced. My office is

**Course Homepage:** Updated information, homework sets, any
handouts, etc., will be available from
http://www.mathstat.dal.ca/~selinger/courses/316W00/

To Peter Selinger's Homepage:

selinger@mathstat.dal.ca / PGP key