Mathematics, Statistics & Computer Science
University of Wisconsin-Stout
Jarvis Hall Science Wing 231
Menomonie, WI 54751-0790
COURSE NUMBER/TITLE:
MATH-255 [355-255] DIFFERENTIAL EQUATIONS
CREDITS:
3
COURSE DESCRIPTION:
Common types of ordinary differential equations of first and second
order; linear equations with constant coefficients; series solutions,
numerical approximations, systems of ordinary equations. Prerequisites:
MATH-154 Calculus II or MATH-157 Calculus and Analytic Geometry
II, and MATH-275 Linear Algebra.
TEXTBOOK:
A First Course in Differential Equations with Modeling Applications, 10th Ed., by Zill
(adopted Spring 2015)
Previous:
A First Course in Differential Equations with Modeling Applications, 8th Ed., by Zill (adopted
S06)
Fundamentals of Differential Equations, 5th Ed., by Nagle (adopted F01)
Differential Equations: A Modeling Perspective, 1st Ed. by Borrelli & Coleman (adopted
SS98)
Fundamentals of Differential Equations by Nagle (adopted F96)
Introduction to Ordinary Differential Equations, 4th Ed., by S.L. Ross
COURSE OBJECTIVES:
1. To develop methods of solving ordinary differential equations.
2. To help the student gain an understanding of the theories of solution of ordinary differential equations.
3. To apply the techniques of solving differential equations to the physical sciences.
4. To provide insights into the role of rigor in mathematics.
5. To prepare the student for further study in differential equations.
6. To increase the mathematical maturity of the student for further study in mathematics.
COURSE OUTLINE:
1. Differential Equations and Their Solutions
2. Differential Equations of the First Order and First Degree
3. Applications of First Order Equations
4. Linear Differential Equations of Higher Order
5. Application of Second Order Linear Differential Equations
6 Series Solutions of Linear Differential Equations
Updated 9/2015
Revised 4/2003
Revised 8/1977