course-details-portlet

IMAT3012

Mathematics for engineering 3 B

New from the academic year 2025/2026

Credits 7.5
Level Third-year courses, level III
Course start Autumn 2025
Duration 1 semester
Language of instruction Norwegian
Location Trondheim
Examination arrangement School exam

About

About the course

Course content

Integration

Double integrals in cartesian and polar coordinates. Triple integrals in cartesian, cylinder and spherical coordinates. Surface integrals and line integrals. Numerical methods for calculation of integrals. Calculation of mass, mass centre and moment of inertia.

Vector fields

Divergence and curl, conservative fields and potentials. Work, circulation and flux. Green's Theorem, Stokes' Theorem and the Divergence Theorem.

Partial differential equations

Calculation of vector fields. Conservation laws. Numerical solution by the finite volume method, with emphasis on calculation with computer.

Learning outcome

Knowledge

The candidate has good knowledge about:

  • Numerical calculations with computer tools
  • The central concepts from vector analysis
  • The connection between vector analysis and engineering applications

Skills

The candidate:

  • Can perform numerical calculations in vector analysis using computer
  • Can calculate vector fields using computer and the finite volume method
  • Can formulate relevant applied problems, solve these with computer and interpret the results
  • Can use computer to analyse mathematical problem

General Competencies

The candidate:

  • Knows and can apply relevant mathematical languate in order to communicate engineering problems
  • Has experience with applying mathematical methods and digital tools on problems from their own and neighboring subjects
  • Is able to connect mathematical concepts and methods to models encountered in and outside their studies.

Learning methods and activities

Lectures, exercises, compulsory tasks.

Compulsory tasks include both analytical and numerical solution methods, and includes problems that are solved using digital tools.

Compulsory assignments

  • Obligatoric exercises

Further on evaluation

Compulsory assignments for earlier years will be automatically approved by the department.

If the course changes its evaluation form, the whole course must be retaken.

4 hour individual exam in Inspera, graded using the scale A-F.

Exam aids: Simple calculator. NTNU code D.

In order to take the exam, 70% of all compulsory assignments must be passed.

Re-sit Exam: May/June. Re-sit exam can be changed to an oral exam.

Python will be available during the exam.

Course materials

Lecture notes, videos and other materials will be made available.

Credit reductions

Course code Reduction From
IMAA3012 7.5 sp Autumn 2025
IMAG3012 7.5 sp Autumn 2025
IMAA2100 5 sp Autumn 2025
IMAG2100 5 sp Autumn 2025
IMAT2100 5 sp Autumn 2025
TMA4105 5 sp Autumn 2025
TMA4411 3.5 sp Autumn 2025
MA1103 5 sp Autumn 2025
This course has academic overlap with the courses in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.

Subject areas

  • Mathematics

Contact information

Course coordinator

Lecturers

Department with academic responsibility

Department of Mathematical Sciences

Examination

Examination

Examination arrangement: School exam
Grade: Letter grades

Ordinary examination - Autumn 2025

School exam
Weighting 100/100 Examination aids Code D Date 2025-12-18 Time 09:00 Duration 4 hours Exam system Inspera Assessment
Place and room for school exam

The specified room can be changed and the final location will be ready no later than 3 days before the exam. You can find your room location on Studentweb.

Sluppenvegen 14
Room SL111 orange sone
60 candidates
Room SL111 brun sone
70 candidates
Room SL110 turkis sone
70 candidates

Re-sit examination - Spring 2026

School exam
Weighting 100/100 Examination aids Code D Duration 4 hours Exam system Inspera Assessment Place and room Not specified yet.