Course - Mathematical methods 3 for computer engineers - IMAG2150
IMAG2150 - Mathematical methods 3 for computer engineers
About
Examination arrangement
Examination arrangement: School exam
Grade: Letter grades
| Evaluation | Weighting | Duration | Grade deviation | Examination aids |
|---|---|---|---|---|
| School exam | 100/100 | 4 hours | C |
Course content
- Vector spaces and linear transformations Subspaces of Rn, base and dimension. General vector spaces, function spaces and norms. Matrix transformations, null spaces and column spaces. Application: Fourier series and solution of partial differential equations.
- Differential equations with solution methods.
- Numerical methods General numerics: Representations of floating point numbers in the computer, calculations with floating point numbers and various sources of error. Error magnification and condition. Convergence rate
- Direct methods:
- Solution of linear equation systems, PA = LU factorization, least squares method
- Interpolation with cubic splines, Bezier curves.
- Iterative methods:
- Newton's multivariate method
- Solution of linear equation systems (Jakobi, conjugate gradients)
- Calculation of eigenvalues and eigenvectors (power method)
- Solution of some types of differential equations, Runge-Kutta.
Learning outcome
Knowledge
The candidate has a good knowledge of subspaces of Rn and linear transformations between finite-dimensional real vector spaces. The candidate has knowledge about general vector spaces and linear transformations. The candidate is familiar with common sources of error in numerical calculations. The candidate is accustomed with relevant IT applications of mathematics in the subject.
Skills
The candidate can complete induction proofs. The candidate can solve some types of first and second order difference equations. The candidate can solve linear and non-linear systems numerically. The candidate can solve problems with least squares method. The candidate can interpolate. The candidate can calculate eigenvalues and eigenvectors numerically. The candidate can solve some types of differential equations numerically.
General competence
The candidate can use mathematics to communicate engineering issues, with the main emphasis on information technology. The candidate understands that the level of precision in the mathematical language makes it suitable to structurize and solve engineering problems.
Learning methods and activities
Lectures and exercises.
80% of the obligatory exercises need to be approved for exam admission.
The lectures may be given in English.
Compulsory assignments
- Exercises
Further on evaluation
Re-sit Exam: May/June.
Retake of examination may be given as an oral examination.
Specific conditions
Admission to a programme of study is required:
Computer Science - Engineering (BIDATA)
Recommended previous knowledge
IMAA1001, IMAG1001 or IMAT1001, Mathematical methods 1,
and
IMAA1001, IMAG2021 or IMAT2021, Mathematical methods 2 for Computer engineering
Course materials
Will be announced at the start of the course.
Credit reductions
| Course code | Reduction | From | To |
|---|---|---|---|
| IMAA2150 | 7.5 | AUTUMN 2019 | |
| IMAT2150 | 7.5 | AUTUMN 2019 | |
| IMAA1002 | 1.5 | AUTUMN 2024 | |
| IMAG1002 | 1.5 | AUTUMN 2024 | |
| IMAT1002 | 1.5 | AUTUMN 2024 | |
| INGA1002 | 1.5 | AUTUMN 2024 | |
| INGG1002 | 1.5 | AUTUMN 2024 | |
| INGT1002 | 1.5 | AUTUMN 2024 | |
| IMAA2012 | 1.0 | AUTUMN 2024 | |
| IMAG2012 | 1.5 | AUTUMN 2024 | |
| IMAT2012 | 1.5 | AUTUMN 2024 | |
| IMAA2022 | 1.0 | AUTUMN 2024 | |
| IMAG2022 | 1.5 | AUTUMN 2024 | |
| IMAT2022 | 1.5 | AUTUMN 2024 | |
| TDAT3024 | 5.0 | AUTUMN 2024 | |
| TDAT2002 | 2.5 | 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: Gjøvik
- 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 C 2024-12-18 09:00 INSPERA
-
Room Building Number of candidates M438 Eksamensrom 4.etg, Inngang D Mustad, Inngang D 15 - Spring UTS School exam 100/100 C INSPERA
-
Room Building Number of candidates
- * 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"