# IMAA2150 - Mathematical methods 3 for computer engineers

### Examination arrangement

Examination arrangement: School exam

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.

• Exercises

### Further on evaluation

Re-sit Exam: March.

Retake of examination may be given as an oral examination.

### Specific conditions

Admission to a programme of study is required:
Computer Science (BIDATA)

### Credit reductions

Course code Reduction From To
IMAG2150 7.5 AUTUMN 2019
IMAT2150 7.5 AUTUMN 2019
More on the course

No

Facts

Version: 1
Credits:  7.5 SP
Study level: Third-year courses, level III

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2022

Language of instruction: -

Location: Ålesund

Subject area(s)
• Engineering
• Mathematics
Contact information
Course coordinator: Lecturer(s):

Department of Mathematical Sciences

# Examination

#### Examination arrangement: School exam

Term Status code Evaluation Weighting Examination aids Date Time Examination system
Autumn ORD School exam 100/100 2022-12-13 09:00
Spring UTS School exam 100/100 2023-03-13 09:00
• * 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.
Examination

For more information regarding registration for examination and examination procedures, see "Innsida - Exams"

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