2nd degree (Master)
Dr. Cy Maor
Coordinator Office Hours:
Dr. Cy Maor
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.
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.
Teaching arrangement and method of instruction:
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
Other or additional topics may be studied.
Additional Reading Material:
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 %