course-details-portlet

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.

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From To
SIF5088 7.5
More on the course

Facts

Version: 1
Credits:  7.5 SP
Study level: Second degree level

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2023

Language of instruction: English, Norwegian

Location: Trondheim

Subject area(s)
  • Mathematics
  • Technological subjects
Contact information
Course coordinator: Lecturer(s):

Department with academic responsibility
Department of Mathematical Sciences

Timetable

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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
SL215 Sluppenvegen 14 0
SL311 lyseblå sone Sluppenvegen 14 6
SL430 Sluppenvegen 14 2
SL310 turkis sone Sluppenvegen 14 4
SL228 Sluppenvegen 14 8
SL311 orange sone Sluppenvegen 14 2
SL311 brun sone Sluppenvegen 14 7
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.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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