MM557: Partial Differential Equations and complex analysis (5 ECTS)
STADS: 13016301Level
Bachelor course
Teaching period
The course is offered in the spring semester.
Teacher responsible
Email: jaeger@imada.sdu.dkTimetable
| Group | Type | Day | Time | Classroom | Weeks | Comment |
|---|---|---|---|---|---|---|
| Common | I | Tuesday | 10-12 | U64 | 6-9 | |
| Common | I | Wednesday | 08-10 | U154 | 6-10 | |
| H1 | TE | Friday | 14-16 | U64 | 5,9 | |
| H1 | TE | Friday | 12-14 | U64 | 6-8,10 | |
| H1 | TE | Friday | 12-14 | U154 | 11 |
Show personal time table for this course.
Comment:
Ubegrænset deltagerantal.
Prerequisites:
The course cannot be chosen by students who: passed MM511 or MM549.
Academic preconditions:
Students taking the course are expected to:
- Have knowledge of the concepts of calculus and linear algebra
- Be familiar with the most common mathematical equations used in classical mechanics, electromagnetism and quantum mechanics.
Course introduction
Partial Differential Equations (PDEs) and complex analysis are instrumental tools in physics. This course aim to equip the students with the basic knowledge of PDEs and complex analysis focusing on applications stemming from modern physics.
The course builds on the knowledge acquired in the courses MM536, MM505, FY530, and applications are taken from the courses FY503, FY506, FY504, FY521, FY522.
The course provides a mathematical basis to study advanced topics in the master's program in physics, such as FY803, FY802 and FY817.
In relation to the competence profile of the degree it is the explicit focus of the course to:
- Give skills to analyze practical and theoretical physics problems formulated in terms of PDEs
- Give knowledge and understanding of theory of PDEs and their applications to physics problems
- Give knowledge and understanding of complex analysis and its applications to physics problems
Expected learning outcome
The learning objective of the course is that the student demonstrates the ability to:
- recognize and solve the PDEs by methods presented in the course
- use the tools of complex analysis in problems from physics
Subject overview
The following main topics are contained in the course:
- introduction to PDEs
- Methods of solution for PDEs: separation of variables, Fourier transform, Green’s functions
- Introduction to complex calculus: complex functions, differentiation and holomorphic functions, power series
- Complex integration and residue theory
Literature
- Meddeles ved kursets start.
Website
This course uses e-learn (blackboard).
Prerequisites for participating in the exam
None
Assessment and marking:
Expected working hours
The teaching method is based on three phase model.
Intro phase: 20 hours
Skills training phase: 14 hours, hereof:
- Tutorials: 14 hours
Educational activities
- preparation of exercises in study groups
- discussion of the key concepts presented in the lectures
Teaching forms: traditional blackboard presentations, class discussions and the use of computer programs to present examples will be used.
Language
This course is taught in Danish or English, depending on the lecturer. However, if international students participate, the teaching language will always be English.
Course enrollment
See deadline of enrolment.
Tuition fees for single courses
See fees for single courses.
