Course - Partial Differential Equations - TMA4305
TMA4305 - Partial Differential Equations
About
Examination arrangement
Examination arrangement: School exam
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| School exam | 100/100 | 4 hours | C |
Course content
The course provides a thorough introduction to the mathematical theory of partial differential equations, both the classical theory of Laplace, Cauchy, Fourier, Gauss etc. and the modern theory based on functional analytic methods. Topics covered are first order equations, Cauchy's problems, characteristics, linear second-order equations, classification, boundary value problems for elliptic equations, perimeter and initial value problems for hyperbolic and parabolic equations, fundamental solutions, maximum principles, weak solutions and functional analytic methods.
Learning outcome
1. Knowledge. The student masters the basic principles and methods for the analysis of partial differential equations, including first-order equations, Cauchy's problems, characteristics, linear second-order equations, classification, boundary value problems for elliptic equations, boundary and initial value problems for hyperbolic and parabolic equations, fundamental solutions, maximum principles, weak solutions and functional analytic methods. 2. Skills. The student is able to apply the techniques to study specific examples, understand the proofs and apply central proof techniques of related problems.
Learning methods and activities
Lectures and exercises. The lectures may be given in English. If the course is taught in English, the exam will be given only in English. Students are free to choose Norwegian or English for written assessments.
Further on evaluation
Retake of examination may be given as an oral examination.
Recommended previous knowledge
TMA4145 Linear Methods or equivalent.
Course materials
Will be announced at the start of the course.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| SIF5088 | 7.5 |
Version: 1
Credits:
7.5 SP
Study level: Second degree level
Term no.: 1
Teaching semester: AUTUMN 2023
Language of instruction: English, Norwegian
Location: Trondheim
- Mathematics
- Technological subjects
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: School exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD School exam 100/100 C 2023-12-12 15:00 INSPERA
-
Room Building Number of candidates SL430 Sluppenvegen 14 27 - Summer UTS School exam 100/100 C INSPERA
-
Room Building Number of candidates
- * The location (room) for a written examination is published 3 days before examination date. If more than one room is listed, you will find your room at Studentweb.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"