Syllabus

Prerequisites

Calculus of Several Variables (18.02), Differential Equations (18.03) or Honors Differential Equations (18.034)

Textbooks

Required

Haberman, Richard. Applied Partial Differential Equations. 4th ed. Upper Saddle River, NJ: Prentice Hall, March 24, 2003. ISBN: 0130652431.

———. Mathematical Models: Mechanical Vibrations, Population Dynamics and Traffic Flow: An Introduction to Applied Mathematics. Philadelphia, PA: Society for Industrial and Applied Mathematics, 1998. ISBN: 0898714087.

For Further Reading

Debnath, Lokenath. Nonlinear Partial Differential Equations for Scientists and Engineers. Boston, MA: Birkhäuser, 1997. ISBN: 0817639020.

Whitham, Gerald Beresford. Linear and Nonlinear Waves. New York, NY: Wiley, 1974.

Barenblatt, Grigory Isaakovich. Scaling, Self-Similarity, and Intermediate Asymptotics. New York, NY: Cambridge University Press, 1996. ISBN: 0521435161 (hardcover), 0521435226 (pbk).

Lin, Chia-Ch'iao, and L. A. Segel. Mathematics Applied to Deterministic Problems in the Natural Sciences. Material on elasticity by G. H. Handelman. Philadelphia, PA: Society for Industrial and Applied Mathematics, 1988. ISBN: 0898712297.

Crank, John. The Mathematics of Diffusion. 2nd ed. Oxford, UK: Clarendon Press, 1979, c1975, (1986 printing). ISBN: 0198534116.

Assignments and Exams

There will be five problem sets, due approximately every two weeks. There will be an in-class midterm exam and a final exam.

Homework Policy

Students are encouraged to work together on the homework, but solutions must be written independently by each student, in his or her own words. Any significant collaborators should be noted on the solutions. It is considered cheating (and not allowed) to consult or copy solutions from prior years for any identical problems assigned this year, unless they have been officially distributed by the instructor for practice.

Grading