ChE Tulsa University

MATH 4143 Partial Differential Equations
Option for Required Elective for ChE program

Catalog Description:  The course discusses partial differential equations arising in the modeling of real-life processes and phenomena, as encountered by scientists and engineers, and describes a number of fundamental methods for their solution.

Prerequisites:  Math 3073

Corequisites:  None

Prerequisites by Topic:  One course in differential equations

Textbook:  Solution Techniques for Elementary Partial Differential Equations, Constanda, Chapman & Hall/CRC, 2002.

Other Required Material:  None

Course Objectives: Competence in solving basic partial differential equations

Topics Covered:  

1. Separation of variables.
2. Eigen function expansion.
3. Method of characteristics.
4. Fourier and Laplace transforms.
5. Green’s functions.
6. Perturbation and asymptotic techniques.

Class/Laboratory Schedule:  Three times per week, 50 minutes per meeting.

Professional Component Contribution:  This course provides three hours of college-level mathematics.

Relationship to Program Outcomes:

• Outcome a:  This course requires the students to apply their knowledge of mathematics.

Prepared by:  Christian Constanda