Course - Mathematics for engineering 1 - IMAG1002
Mathematics for engineering 1
About
About the course
Course content
The course provides an introduction to basic theory and methods in mathematics that are relevant for all engineering disciplines.
The mathematical topics in the course are:
Linear algebra
- Solving systems of equations
- Simple matrix calculus and linear transformations
- Vector space, subspace, basis, linear dependence
- Eigenvalues and eigenvectors
Calculus
- Differentiation and integration
- 1st order ordinary differential equations
- 2nd order ordinary differential equations and systems of 1st order ordinary differential equations
Complex numbers
- Cartesian and polar form
- Applications to eigenvalues and 2nd order differential equations
Learning outcome
Knowledge
The candidate has good knowledge of
- basic concepts from linear algebra such as linear system, matrix, basis, vector space, eigenvector and eigenvalue.
- linear transformations and their representations in matrix form.
- basic concepts from calculus and differential equations such as the derivative of a function, integral, solution of a differential equation, linear differential equations, first and second order differential equations.
- the correspondence between second-order differential equations and systems of first-order differential equations.
- basic arithmetic’s with complex numbers, and how they can be used in applied mathematics.
- some engineering applications of mathematics.
Skills
The candidate
- can solve simple problems in linear algebra analytically, a.o. solve systems of linear equations and find eigenvalues and eigenvectors of smaller matrices.
- can interpret solutions of linear systems of equations geometrically for 2x2 and 3x3 matrices.
- can represent linear transformations both geometrically and algebraically.
- can solve systems of linear equations and find eigenvalues and eigenvectors, including complex eigenvalues, using digital tools.
- can differentiate and integrate functions.
- can solve simple equations containing complex numbers.
- can solve 1st order separable differential equations and 2nd order linear differential equations with constant coefficients.
General competence
The candidate
- knows and can use mathematical symbols and formulas for communication in engineering.
- knows and can apply mathematical methods to problems from own and adjacent subject areas.
- is familiar with applications of mathematical concepts and techniques in models that the candidate encounters within and outside the studies.
Learning methods and activities
Lectures, individual exercises and project work.
Compulsory assignments
The compulsory assignments consist of two parts:
- Compulsory exercises that test the students ability to find solution of problems and interpretate of the results. The assignments include tasks to be solved with the help of digital tools.
- Compulsory project work with focus on problems from the engineering profession.
Compulsory assignments
- Exercises
- Project work
Further on evaluation
A continuation exam is held in August for the written school exam (under supervision). Retake of examination may be given as an oral examination.
Specific conditions
Admission to a programme of study is required:
Aquaculture - Engineering (BIHAV)
Automation and Intelligent Systems - Engineering (BIAIS)
Building Constructions – Engineering (BIBYG-F)
Building Constructions – Engineering (BIBYGGK)
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)
Geomatics - Engineering (BIGEOMAT)
Logistics - Engineering (FTHINGLOG)
Materials Engineering (FTHINGMAT)
Mechanical Engineering (BIMASKIN)
Naval Architecture - Engineering (699SD)
Production and Product Development – Engineering (BIMAS-F)
Renewable Energy - Engineering (BIFOREN)
Recommended previous knowledge
Some background in programming is recommended. If such background is missing, it is recomended to take INGG1002 - Programming, numerical mathematics and security contemporaneously.
Required previous knowledge
Y-VEI and TRES students must have passed the preparatory course REA0012/REA0012F in order to register for the exam in the subject.
Course materials
Recommended course material will be announced at the start of the semester.
Credit reductions
| Course code | Reduction | From |
|---|---|---|
| IMAT1002 | 7.5 sp | Autumn 2023 |
| IMAA1002 | 7.5 sp | Autumn 2023 |
| IMAG1001 | 5 sp | Autumn 2023 |
| IMAA1001 | 5 sp | Autumn 2023 |
| IMAT1001 | 5 sp | Autumn 2023 |
| IMAG2011 | 2.5 sp | Autumn 2023 |
| IMAA2011 | 2.5 sp | Autumn 2023 |
| IMAT2011 | 2.5 sp | Autumn 2023 |
| IMAG2021 | 2.5 sp | Autumn 2023 |
| IMAA2021 | 2.5 sp | Autumn 2023 |
| IMAT2021 | 2.5 sp | Autumn 2023 |
| IMAG2031 | 2.5 sp | Autumn 2023 |
| IMAA2031 | 2.5 sp | Autumn 2023 |
| IMAT2031 | 2.5 sp | Autumn 2023 |
| VB6040 | 7.5 sp | Autumn 2024 |
| IMAG2150 | 1.5 sp | Autumn 2024 |
| IMAT2150 | 1.5 sp | Autumn 2024 |
| IMAA2150 | 1.5 sp | Autumn 2024 |
| TMA4400 | 4 sp | Autumn 2025 |
| TMA4401 | 4 sp | Autumn 2025 |
| TMA4410 | 3.5 sp | Autumn 2025 |
| TMA4411 | 3.5 sp | Autumn 2025 |
| TMA4413 | 3.5 sp | Autumn 2025 |
| TMA4422 | 3.5 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.