- Course Grades Posted
Ordinary differential equations of first order, higher order linear equations,
Laplace transform methods, series methods; numerical solution of differential
equations. Applications to physical sciences and engineering. Introduction
to programming desirable.
The course will cover the general topics contained in chapters 1-5, 7, and 9 of the text.
These topics include
Differential Equations with Modeling Applications (7-th ed.), by
Dennis G. Zill, Brooks/Cole, Pacific Grove, CA, 2001.
- analytical methods of solving Ordinary Differential Equations of
first and higher orders.
In particular, equations will be classified and
methods will be developed to apply to these special classes.
- development of transform methods (Laplace) to solve differential
equations and to study their solutions.
- the modeling of dynamic processes as differential equations: mixture
problems, mechanical systems, RLC circuits, population growth,
and predator-prey populations.
- use of the expert system computational algebra package Maple.
- direction fields (flows), phase portraits, and an introduction
to qualitative differential equations.
- development of quantitative methods to numerically approximate the
solutions to differential equations including Runge-Kutta methods
and multi-step approximations.
- Other topics such as systems of differential equations, as time
Two tests, each counting 30% of the final grade. The homework, turned in
on a regular basis, counts 10%, with the final exam counting
Classroom attendance is required according to official
Important Course Dates:
Qualification through placement, or a grade of C or better in MATH 142
or its equivalent.
January 15 (Tuesday)
January 18 (Friday)
February 14 (Thursday)
February 25 (Monday)
March 10-17 (Sun.-Sun.)
April 4 (Thursday)
April 30 (Tuesday)
May 2 (Thursday)
May 8 (2 pm, Wednesday)
Last Day for Withdrawal w/o penalty
Last Day for Withdrawal w/o WF grade
Spring Break - no classes
Review Session at 1 pm
Maple Work Sheets
Tests and Samples
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and last updated May 9, 2002.
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