MATH 537 Applied Mathematics
Boise State University Spring 2013

 INSTRUCTOR: Jodi Mead OFFICE: MG 218B PHONE: 426-2432 EMAIL: jmead@boisestate.edu WEB: http://math.boisestate.edu/~mead/m537/s13 OFFICE HOURS: 10:15-11:15 TuTh and by appointment CLASS MEETINGS: 9:00-10:15 TuTh in ILC room 401

TEXT
Principles of Applied Mathematics, by James Keener, Westview Press, 2000, ISBN: 9780738201290.

COURSE OBJECTIVES
The goal of this course is to learn tools to understand and analyze the behavior of mathematical  models in science and engineering.  This course is not about the numerical solutions of  models, rather it is about the principles used to develop numerical techniques.  We will cover  transform theory,  differential operators,  analytic function theory and asymptotic analysis.  Each student will complete a project where they apply these tools to a  linear partial differential equation.

• Homework (30%) - Homework will be assigned for each chapter, and most assignments will be from the textbook. Homework solutions must be complete, coherent, and self-contained.  Poorly presented work will be penalized.

Late Homework Policy:   Homework should be turned in on the date it is due, and unless there are extenuating circumstances, there is a 10% per day late penalty.

Collaboration Policy:   Students may collaborate on homework questions however, once you begin writing the version that you will submit, you may no longer collaborate on that problem.   In particular, each student will turn in their own work, and there will be a penalty if students turn in the same work.

• Projects (30%) - A project using the tools from Chapters 1, 2, 4, and 5 to analyze a linear partial differential equation.  Each student will do one (unique) project based on
• Free boundary problem in fluid flow (6.3)
• Schrodinger equation (7.5)
• Poisson equation (8.1)
• Wave equation (8.2)
• Heat equation (8.3)
• Korteweg-deVries equation (9.2)
• Similar model in your field

It is important to have a well designed project, therefore both a proposal draft and final proposal will be required for each student, due March 12 and April 2, respectively. In addition, a one page typed progress report is due April 14, presentations will be May 7, 9 and 14, and the final report is due by 5:00 on May 14.

• Midterms (40%) - There will be two midterms February 28 and May 2.   Make-up of the exams are not allowed unless there are documented emergencies.