COURSE SYLLABUS

Course Number: MATH6650
Course Title: THEORY OF NONLINEAR OPTIMIZATION
Credit Hours: 3
Prerequisites: MATH2650 and MATH2660.
Corequisite: 

Objectives: 
This course introduces the student to numerical methods for approximating solutions of partial differential equations. In particular, it introduces the student to the finite difference and finite element methods.


Course Content (typical):
Review of Partial Differential Equations and Linear Algebra (2 weeks)
Classification of pdes, Methods for solving linear systems of equations

Hyperbolic Problems (3.5 weeks)
Method of chracteristics, Finite difference method

Elliptic Problems (4.5 weeks)
Finite difference method, Finite element method

Parbolic Equations (4 weeks)
Explicit methods (finite differences), Implicit methods (finite differences), Semidiscretization  (finite elements )
  
Possible Texts:
William F. Ames, Numerical Methods for Partial Differential Equations, 3rd Edition, Academic Press.

Grading and Evaluation Procedures:
Programming assignments, homework problems, tests and final exam at the instructor's discretion.

Statement related to policies on unannounced quizzes and class attendance and participation:
Individual instructors have different policies concerning pop quizzes, class participation, homework grades, and attendance, which are announced at the beginning of the semester.