Course - Mathematical methods 3 - IMAT2100
Mathematical methods 3
About
About the course
Course content
Differentiation
Limits and continuity. Directional derivative and the gradient. Tangent planes and tangent lines. Linear approximation and differentiability. The chain rule. Parametric curves in the plane and in space. Curvature and torsion.
Integration
Double integrals and iterated integration using cartesian and polar coordinates. Triple integrals and iterated integration using cartesian, cylinder- and spherical coordinates. Integration on curves and surfaces in space, curve length, surface area, volume and centroids.
Vector analysis
Static vector fields. Divergence,curl, gradient fields and potentials. Conservative and curl free vector fields. Work/circulation and flux. Green theorem, Stokes' theorem and Gauss' Theorem. Applications of vector analysis in fluid mechanics and/or electro-magnetism (Maxwell's equations).
Learning outcome
Knowledge:
The candidate knows concepts, theorem, and methods from calculus in several variables related to differentiation, integration, and vector analysis for static vector fields.
Skills:
The candidate can
- use mathematical language to formulate problems in mathematics and science related to calculus in several variables.
- apply methods from multivariable calculus to find analytic solutions to mathematical and engineering problems.
- use mathematical software to visualise and solve relevant problems in calculus in several variables.
General competencies
The candidate can
- use mathematical language to communicate about problems in engineering.
- translate between a mathematical language and a language suitable for use with mathematical software
Learning methods and activities
Recorded lectures and digital exercises.
Digitale øvingstimer.
There are no lectures in this course.
This course is intended for those accepted to engineering programs in 2023 or earlier. Other students should take IMAx3011 or IMAx3012.
Compulsory assignments
- Exercises
Further on evaluation
4 hour individual exam in Inspera, graded using the scale A-F.
Exam aids: Simple calculator
In order to take the exam, 70% of all compulsory assignments, including one compulsory computer assignment must be passed.
Re-sit Exam: May/June. The re-sit examination may be given as an oral examination.
Python will be available on the exam,
Specific conditions
Admission to a programme of study is required:
Aquaculture - Engineering (BIHAV)
Chemistry - Engineering (FTHINGKJ)
Civil Engineering - Engineering (BIBYGG)
Electrical Engineering (BIELEKTRO)
Geomatics - Engineering (BIGEOMAT)
Logistics - Engineering (FTHINGLOG)
Materials Engineering (FTHINGMAT)
Mechanical Engineering (BIMASKIN)
Naval Architecture - Engineering (699SD)
Renewable Energy - Engineering (BIFOREN)
Recommended previous knowledge
Mathematical methods 1: IMAT1001, IMAG1001 or IMAA1001
Mathematical methods 2: IMAT2031, IMAT2021, IMAT2011, IMAG2031, IMAG2021, IMAG2011, IMAA2031, IMAA2021 or IMAA2011
The following courses are not valid prerequisites:
IMAT1002, IMAG1002, or IMAA1002 - Mathematics for engineering
IMAT2012, IMAG2012, or IMAA2012 - Mathematics for engineering 2A
IMAT2022, IMAG2022, or IMAA2022 - Mathematics for engineering 2B
IMAT2023, IMAG2023, or IMAA2023 - Mathematics for engineering 2C
IMAT2024, IMAG2024, or IMAA2024 - Mathematics for engineering 2D
Course materials
To be announced.
Credit reductions
| Course code | Reduction | From |
|---|---|---|
| IMAA2100 | 7.5 sp | Autumn 2019 |
| IMAG2100 | 7.5 sp | Autumn 2019 |
| IMAA2012 | 2 sp | Autumn 2024 |
| IMAA2022 | 2 sp | Autumn 2024 |
| IMAG2022 | 2 sp | Autumn 2024 |
| IMAT2022 | 2 sp | Autumn 2024 |
| IMAA2023 | 2 sp | Autumn 2024 |
| IMAG2023 | 2 sp | Autumn 2024 |
| IMAT2023 | 2 sp | Autumn 2024 |
| IMAA2024 | 2 sp | Autumn 2024 |
| IMAG2024 | 2 sp | Autumn 2024 |
| IMAT2024 | 2 sp | Autumn 2024 |
| IMAG2012 | 2 sp | Autumn 2024 |
| IMAT2012 | 2 sp | Autumn 2024 |
| VB6110 | 7.5 sp | Autumn 2024 |
| IMAA3012 | 5 sp | Autumn 2025 |
| IMAG3012 | 5 sp | Autumn 2025 |
| IMAT3012 | 5 sp | Autumn 2025 |
| TMA4411 | 4 sp | Autumn 2025 |
| MA1103 | 5 sp | Autumn 2025 |
Subject areas
- Engineering
- Mathematics
Contact information
Course coordinator
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.