NWI-WM144B
Calculus of Variations
Course infoSchedule
Course moduleNWI-WM144B
Credits (ECTS)8
CategoryMA (Master)
Language of instructionEnglish
Offered byRadboud University; Faculty of Science; Wiskunde, Natuur- en Sterrenkunde;
Lecturer(s)
Coordinator
dr. R. Cristoferi
Other course modules lecturer
Lecturer
dr. R. Cristoferi
Other course modules lecturer
Contactperson for the course
dr. R. Cristoferi
Other course modules lecturer
Examiner
dr. R. Cristoferi
Other course modules lecturer
Academic year2023
Period
KW3-KW4  (29/01/2024 to 31/08/2024)
Starting block
KW3
Course mode
full-time
Remarks-
Registration using OSIRISYes
Course open to students from other facultiesYes
Pre-registrationNo
Waiting listNo
Placement procedure-
Aims
  • The student is able to apply the reasoning of Calculus of Variations to concrete problems.
  • The student knows sufficient conditions for the existence of minimizers of functionals arising in variational problems (Direct Method).
  • The student is familiar with Sobolev Spaces and knows basic properties and embedding theorems.
  • The student knows relaxation theorems for integral functionals.
  • The student can derive the Euler-Lagrange equations and justify the steps by using regularity.
Content
Calculus of variations is a classical field in analysis and plays an important role in both, pure and applied mathematics. It is interconnected with other branches in mathematics, such as PDEs, geometry and optimal control, and has various applications in physics and engineering, e.g., in classical mechanics, quantum mechanics, material science and image processing.
The Calculus of Variations deals with optimization problems. Typically, one aims to find and analyze functions (within an appropriate class) that minimize or maximize a certain functional.
This course gives an introduction to the field and addresses classical problems, results and techniques.
 
Level

Presumed foreknowledge

Test information
Written exam and bonus scheme for homework assignments.
Specifics
The course language will be English.
Required materials
Syllabus

Instructional modes
Course

Tests
Written exam
Test weight1
Test typeExam
OpportunitiesBlock KW4, Block KW4