COURSE SYLLABUS

Course Number: MATH6130
Course Title: CALCULUS OF VARIATION
Credit Hours: 3
Prerequisites: MATH2650
Corequisite: 

Objectives: 
To provide the student with an understanding of the calculus of variation and the techniques used to solve extrema problems.  

Schedule and Outline of Course Content: 
Function spaces and functionals. Differentials and extema of functionals (3 days).
The simplest variational problem.  Euler's Equation (4 days)
Generalizations of the simplest problem (10 days)
	Variational problems in parametric form
	Variational problems with subsidiary conditions
	End points lying on two curves of surfaces
	Weierstrauss-Erdmann conditions
Canonical form of the Euler equations	(6 days)
Second variation and sufficient conditions for a Weak extremum (9 days)
Sufficient conditions for a strong extremum (9 days)

Text:
Calculus of Variations, Gelfand & Fomin.  Prentice Hall, Inc.

Grading and Evaluation Procedures: 
Quizzes, tests, midterm exam, final exam. Other methods of evaluation are used at the discretion of the instructor.

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.