course-details-portlet

IMAG2150

Mathematical methods 3 for computer engineers

Choose study year
Credits 7.5
Level Third-year courses, level III
Course start Autumn 2024
Duration 1 semester
Language of instruction Norwegian
Location Gjøvik
Examination arrangement School exam

About

About the course

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)

Course materials

Will be announced at the start of the course.

Credit reductions

Course code Reduction From
IMAA2150 7.5 sp Autumn 2019
IMAT2150 7.5 sp Autumn 2019
IMAA1002 1.5 sp Autumn 2024
IMAG1002 1.5 sp Autumn 2024
IMAT1002 1.5 sp Autumn 2024
INGA1002 1.5 sp Autumn 2024
INGG1002 1.5 sp Autumn 2024
INGT1002 1.5 sp Autumn 2024
IMAA2012 1 sp Autumn 2024
IMAG2012 1.5 sp Autumn 2024
IMAT2012 1.5 sp Autumn 2024
IMAA2022 1 sp Autumn 2024
IMAG2022 1.5 sp Autumn 2024
IMAT2022 1.5 sp Autumn 2024
TDAT3024 5 sp Autumn 2024
TDAT2002 2.5 sp Autumn 2024
This course has academic overlap with the courses in the table above. If you take overlapping courses, you will receive a credit reduction in the course where you have the lowest grade. If the grades are the same, the reduction will be applied to the course completed most recently.

Subject areas

  • Engineering
  • Mathematics

Contact information

Course coordinator

Department with academic responsibility

Department of Mathematical Sciences

Examination

Examination

Examination arrangement: School exam
Grade: Letter grades

Ordinary examination - Autumn 2024

School exam
Weighting 100/100 Examination aids Code C Date 2024-12-18 Time 09:00 Duration 4 hours Exam system Inspera Assessment
Place and room for 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.

Mustad, Inngang A
Room M433-Eksamensrom 4.etg
15 candidates

Re-sit examination - Spring 2025

School exam
Weighting 100/100 Examination aids Code C Date 2025-05-20 Time 09:00 Duration 4 hours Exam system Inspera Assessment
Place and room for 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.

Mustad, Inngang A
Room M433-Eksamensrom 4.etg
4 candidates