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Syllabus Topics in Variational Calculus - 80733
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Last update 01-09-2021
HU Credits: 3

Degree/Cycle: 2nd degree (Master)

Responsible Department: Mathematics

Semester: 2nd Semester

Teaching Languages: Hebrew

Campus: E. Safra

Course/Module Coordinator: Dr. Cy Maor

Coordinator Email:

Coordinator Office Hours: By appointment

Teaching Staff:
Dr. Cy Maor

Course/Module description:
The calculus of variations is concerned with minimum-maximum problems in infinite dimensional spaces (usually, functions spaces). In this course we will introduce this field from a modern perspective, and focus on the "direct method", which is the main framework to prove existence of extremal points, and much of the modern research in the field is related to it.

Through the direct method we will address a variety of topics in analysis and some examples from various fields.

Course/Module aims:

Learning outcomes - On successful completion of this module, students should be able to:
Ability to prove and apply the theorems presented in the course.

Ability to understand and explain the subjects taught in the course.

Ability to apply correctly the mathematical methodology learned in the course.

Attendance requirements(%):

Teaching arrangement and method of instruction:

Course/Module Content:
1. What is the Calculus of Variations? Motivation and examples
2. Preliminaries: properties of functions spaces
3. Euler-Lagrange equation
4. The direct method:
a. General framework
b. Young measures
c. Quasiconvexity
d. Polyconvexity|
Other or additional topics may be studied.

Required Reading:

Additional Reading Material:

Course/Module evaluation:
End of year written/oral examination 90 %
Presentation 0 %
Participation in Tutorials 0 %
Project work 10 %
Assignments 0 %
Reports 0 %
Research project 0 %
Quizzes 0 %
Other 0 %

Additional information:
Students needing academic accommodations based on a disability should contact the Center for Diagnosis and Support of Students with Learning Disabilities, or the Office for Students with Disabilities, as early as possible, to discuss and coordinate accommodations, based on relevant documentation.
For further information, please visit the site of the Dean of Students Office.