TMA4135 - Calculus 4D


Examination arrangement

Examination arrangement: Home examination
Grade: Passed/Failed

Evaluation form Weighting Duration Examination aids Grade deviation
Home examination 100/100 4 hours

Course content

Partial derivatives. The Laplace transform with applications to solving ordinary differential equations and integral equations. Fourier series and the Fourier transform with applications to solving linear partial differential equations. Discrete Fourier transform. Numerical methods: Interpolation, differentiation, and integration. Methods for solving linear and non-linear equations. Runge-Kutta methods for solving systems of ordinary differential equations. Difference methods for solving partial differential equations. Introduction to computational tools with examples.

Learning outcome

1. Knowledge. The student is able to recognize, understand and apply concepts and methods from the theory of Fourier series, Fourier transformation, Laplace transformation, ordinary and partial differential equations and numerical solution of systems of equations and differential equations.

2. Skills. The student is able to apply his or her knowledge of Fourier theory, ordinary and partial differential equations and numerical methods to formulate and solve problems in mathematics and the natural sciences/technology, if necessary with the additional aid of mathematical software.

Learning methods and activities

Lectures and compulsory exercises. Grade based on written final examination. Retake of examination may be given as an oral examination. The lectures may be given in English.

Compulsory assignments

  • Exercises

Further on evaluation

see «Teaching methods and activities».

Specific conditions

Exam registration requires that class registration is approved in the same semester. Compulsory activities from previous semester may be approved by the department.

Course materials

Will be announced at the start of the semester.

Credit reductions

Course code Reduction From To
MA2104 3.7
SIF5017 7.5
MA2105 3.7 01.09.2008
TMA4120 3.7 01.09.2009
TMA4122 7.5 01.09.2012
TMA4123 7.5 01.09.2012
TMA4125 7.5 01.09.2012
TMA4130 7.5 01.09.2012
TMA4106 3.7 01.09.2020
More on the course

Version: 1
Credits:  7.5 SP
Study level: Third-year courses, level III


Term no.: 1
Teaching semester:  AUTUMN 2020

No.of lecture hours: 4
Lab hours: 2
No.of specialization hours: 6

Language of instruction: English, Norwegian

Location: Trondheim

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

Department with academic responsibility
Department of Mathematical Sciences



Examination arrangement: Home examination

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam Room *
Autumn ORD Home examination (1) 100/100

Release 2020-11-28

Submission 2020-11-28

Release 09:00

Submission 13:00

Room Building Number of candidates
Summer UTS Home examination 100/100 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.
  • 1) Merk at eksamensform er endret som et smittevernstiltak i den pågående koronasituasjonen. Please note that the exam form has changed as a preventive measure in the ongoing corona situation.

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

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