Course - Mathematics for engineering 3 B - IMAG3012
Mathematics for engineering 3 B
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
- Exercises
Further on evaluation
The course has changed its evaluation form, thus autumn 2026 the whole course must be retaken.
2 hour individual midterm exam in Inspera, graded using the scale A-F. The midterm is 30% of grade.
3 hour individual exam in Inspera, graded using the scale A-F. The exam is 70% of grade.
Exam aids: Simple calculator. NTNU code D.
In order to take the exam, compulsory assignments must be passed.
Some compulsory exercises can be approved orally.
Re-sit midterm exam: March.
Re-sit exam: May/June.
Python will be available during the exam and the midterm.
Students that want to improve their grade in the course, can choose to retake one of the two evaluations.
Specific conditions
Admission to a programme of study is required:
Aquaculture - Engineering (BIHAV)
Automation and Intelligent Systems - Engineering (BIAIS) - some programmes
Building Constructions – Engineering (BIBYGGK)
Civil Engineering - Engineering (BIBYGG)
Computer Science - Engineering (BIDATA) - some programmes
Digital Infrastructure and Cyber Security (BDIGSEC)
Electrical Engineering (BIELEKTRO)
Electrification and Digitalisation - Engineering (BIELDIG)
Electronic Systems Engineer - Engineering (BIELSYS)
Logistics - Engineering (FTHINGLOG)
Mechanical Engineering (BIMASKIN)
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 |
| IMAT3012 | 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 |
| MA1103 | 5 sp | Autumn 2025 |
| VB6042 | 7.5 sp | Autumn 2025 |
| TMA4421 | 5 sp | Autumn 2026 |
| TMA4430 | 5 sp | Autumn 2026 |
| IMAG3012F | 7.5 sp | Autumn 2026 |
Subject areas
- Mathematics