Course - Mathematics for engineering 3 B - IMAT3012
Mathematics for engineering 3 B
New from the academic year 2025/2026
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.
Specific conditions
Admission to a programme of study is required:
Aircraft Engineer - Engineering (BIFLY)
Aquaculture - Engineering (BIHAV)
Automation and Intelligent Systems - Engineering (BIAIS)
Chemistry - Engineering (FTHINGKJ)
Civil Engineering - Engineering (BIBYGG)
Computer Science - Engineering (BIDATA)
Digital Infrastructure and Cyber Security (BDIGSEC)
Electrical Engineering (BIELEKTRO)
Electrification and Digitalisation - Engineering (BIELDIG)
Electronic Systems Engineer - Engineering (BIELSYS)
Logistics - Engineering (FTHINGLOG)
Materials Engineering (FTHINGMAT)
Mechanical Engineering (BIMASKIN)
Mechatronics and Product Design - Engineering (BIMEPRO)
Naval Architecture - Engineering (699SD)
Renewable Energy - Engineering (BIFOREN)
Recommended previous knowledge
IMAA/G/T 1002 - Mathematics for Engineers 1
og en av
IMAA/G/T 2012/2022/2023/2024 - Mathematics for Engineers 2 A/B/C/D.
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 |
| VB6042 | 7.5 sp | Autumn 2025 |
Subject areas
- Mathematics
Contact information
Course coordinator
Lecturers
Department with academic responsibility
Examination
Examination
Ordinary examination - Autumn 2025
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.