TEXT: G. Strang, Computational Science and Engineering, Wellesley Cambridge Press, 2007, ISBN 0961408812,
A. Iserles, A First Course in the Numerical Analysis of Differential Equations, 2nd Ed., Cambridge University Press, 2008, ISBN 0521734908.

COURSE DESCRIPTION:

Designed to teach the student some of the skills necessary to construct and critique mathematical models of physical and industrial processes. The student will apply skills acquired in MAT 230 to the models presented. Topics include: applications of first and second order ordinary differential equations, systems of nonlinear ordinary differential equations, stability, phase plane analysis, optimization, conservation laws and finite differences. Prerequisite: MAT 230 and familiarity with a computer language, or permission of instructor.

COURSE OBJECTIVES: The major objective of this course is to introduce fundamental principles of mathematical modeling and to build upon the differential equations knowledge and skills obtained in the MAT 260 or 230 course.

LEARNING OUTCOMES:
At the end of the semester, students will be able to:

• apply first order and second order ordinary differential equations to physical problems,
• apply systems of ordinary differential equations,
• analyze stability of mathematical models,
• perform phase space analysis,
• solve basic optimization problems,
• derive and use conservation laws,
• use numerical methods, including finite differences and finite elements.

OFFICE HOURS:

T 2-4 PM   R 3-4PM   DON2275     W 4-5PM   A133

GRADES:

Test (Feb. 8) Test (March 15) Test (April 12) Final (cumulative)

30 points 30 points 30 points 40 points

A+ >= 97 pts A = 93,...,96 pts A- = 90,...,92 pts etc.

The lowest test score will be dropped. Alternatively, you can work in project based mode and have the project count for your grade or a part of your grade.

Accommodations for Students with Disabilities registered at SUNY Polytechnic Institute
In compliance with the Americans with Disabilities Act of 1990 and with Section 504 of the Rehabilitation Act, SUNY Polytechnic Institute is committed to ensuring educational access and accommodations for all its registered students seeking access to meet course requirements and fully participate in programs or activities. SUNY Poly students with documented disabilities and medical conditions are encouraged to request these services by registering with the Disability Services Office and discussing your need for accommodations. For information or an appointment contact  Suzanne Sprague at the Disability Services Office, located in room B101 Kunsela Hall or by phone (315) 792-7170; or e-mail suzanne.sprague@sunyit.edu.