Course - Mathematical methods 3 - IMAT2100
IMAT2100 - Mathematical methods 3
About
Examination arrangement
Examination arrangement: School exam
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| School exam | 100/100 | 4 hours | D |
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
Lectures and exercises.
The lectures may be given in English.
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.
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 | To |
|---|---|---|---|
| IMAA2100 | 7.5 | AUTUMN 2019 | |
| IMAG2100 | 7.5 | AUTUMN 2019 | |
| IMAA2012 | 2.0 | AUTUMN 2024 | |
| IMAA2022 | 2.0 | AUTUMN 2024 | |
| IMAG2022 | 2.0 | AUTUMN 2024 | |
| IMAT2022 | 2.0 | AUTUMN 2024 | |
| IMAA2023 | 2.0 | AUTUMN 2024 | |
| IMAG2023 | 2.0 | AUTUMN 2024 | |
| IMAT2023 | 2.0 | AUTUMN 2024 | |
| IMAA2024 | 2.0 | AUTUMN 2024 | |
| IMAG2024 | 2.0 | AUTUMN 2024 | |
| IMAT2024 | 2.0 | AUTUMN 2024 | |
| IMAG2012 | 2.0 | AUTUMN 2024 | |
| IMAT2012 | 2.0 | AUTUMN 2024 | |
| VB6110 | 7.5 | AUTUMN 2024 |
Version: 1
Credits:
7.5 SP
Study level: Third-year courses, level III
Term no.: 1
Teaching semester: AUTUMN 2024
Language of instruction: Norwegian
Location: Trondheim
- Engineering
- Mathematics
Department with academic responsibility
Department of Mathematical Sciences
Examination
Examination arrangement: School exam
- Term Status code Evaluation Weighting Examination aids Date Time Examination system Room *
- Autumn ORD School exam 100/100 D 2024-12-18 09:00 INSPERA
-
Room Building Number of candidates SL420 Sluppenvegen 14 5 SL274 Sluppenvegen 14 17 SL271 Sluppenvegen 14 8 SL228 Sluppenvegen 14 5 SL123 Sluppenvegen 14 1 SL122 Sluppenvegen 14 1 SL515 Sluppenvegen 14 7 SL311 lyseblå sone Sluppenvegen 14 96 SL311 brun sone Sluppenvegen 14 82 SL310 blå sone Sluppenvegen 14 48 SL310 lilla sone Sluppenvegen 14 80 SL310 hvit sone Sluppenvegen 14 46 SL318 Sluppenvegen 14 1 SL317 Sluppenvegen 14 1 - Spring UTS School exam 100/100 D 2025-05-20 09:00 INSPERA
-
Room Building Number of candidates SL311 lyseblå sone Sluppenvegen 14 23 SL311 brun sone Sluppenvegen 14 40 SL310 turkis sone Sluppenvegen 14 41
- * 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.
For more information regarding registration for examination and examination procedures, see "Innsida - Exams"