Applied Mathematics

Office Hours: TTh 1:00-4:00, MWF by discovery.

Text: Differential Equations with Boundary Value Problems, 6th edition, by Zill and Cullen. We will also be using Mathematica, a computer algebra system. Mathematica 6.0 is available on the campus network, and can be downloaded onto the personal computer of any Concordia student free of charge.

Required Prerequisites: Math 210 Linear Algebra, Math 223 Calculus III, Math 311 Differential Equations.

Content: In this follow-up course to Math 311 Differential Equations, we explore linear and nonlinear systems of ordinary differential equations. Using linear algebra (eigenvalues and eigenvectors) and linearization, we will analyze both quantitatively and qualitatively the behavior of systems solutions; examples of applications include two-species interaction modeled by predator-prey systems and cooperative/competitive species systems. Emphasis will be placed on phase-portrait analysis.

Homework: Homework will be assigned each day for your practice in mastering the material, and will be due two class periods later; if you have questions please ask them the following class period after the homework is assigned, or visit me during office hours. I will allow up to two (2) late submissions without penalty; after that late homework will not be accepted. Homework that is turned in should be neat and organized. You will not only be graded on correct answers, but also on the neatness, organization, and clarity of the steps/arguments used to derive your answers; the use of correct grammar and complete sentences is imperative.

Grading:		Points			Scale
	Homework	200			A 90%--100%
					B 80%--89%
	Exams	200			C 70%--79%
					D 60%--69%
					F Below 60%