# IR201612 - Mathematics 2A

### Examination arrangement

Examination arrangement: Written examination

Evaluation form Weighting Duration Examination aids Grade deviation
Written examination 100/100 4 hours HJELPEMIDD

### Course content

Sequences, series and power series.
Taylor series, Maclaurin series, Taylor's formula with remainder term.
Functions of several variables. Partial derivative.
Maximum og minimum values for functions in several variables.
Lagranges' multiplier method.
Vektor spaces, subspaces, linear dependence and independence.
Scalar product (inner product) and orthogonality.
Eigenvalues and eigenvectors, diagonalization, symmetric matrices and quadratic forms.
Difference equations.
Systems of differential equations of the first order. Use of eigenvalues and eigenvectors.
Fourier series.
Laplace transform og solution of ordinary differential equations.

### Learning outcome

Learning outcome - Knowledge:
The candidate should
- develop a scientific basis and understanding of mathematics that other topics can build on
- thorough knowledge of the core area of differential equations with applications
- good knowledge of functions of several variables
- thorough knowledge of the core area of matrices
- good knowledge of power series
- good knowledge of difference equations
- good knowledge of the Laplace transform and Fourier series

Learning outcome - Skills:
The candidate should
- have a relevant mathematical symbols and formula apparatus
- be able to manipulate symbols and formulas
- be able to reason mathematically
- be able to formulate technical engineering problems on a mathematical language
- be able to use mathematical methods and tools relevant to their field
- be able to identify connections between mathematics and engineering applications
- be able to assess the results of mathematical calculations

Learning outcome - Competence:
The candidate should
- be able to use mathematics to communicate on engineering issues.
- understand that change and change per unit of measurement can be measured, calculated, summarized and included in equations.
- understand that there is a level of precision in the mathematical language that makes it suitable for structuring technical engineering problems and enables solutions.
- have a mathematical understanding that provides a basis for lifelong learning.

### Learning methods and activities

Pedagogical methods:

Lectures, obligatory assignments, exercises, action-reflection-learning.

### Compulsory assignments

• Mandatory assignment

### Further on evaluation

4 hours individual two-part written examination.
Supporting material allowed on the 2nd. part of the exam: textbook and calculator.

### Specific conditions

Exam registration requires that class registration is approved in the same semester. Compulsory activities from previous semester may be approved by the department.

Admission to a programme of study is required:
Engineering - Automation (017AU)
Engineering - Computer Science (004DA)
Engineering - Power Electronics (006EK)

More on the course

No

Facts

Version: 1
Credits:  10.0 SP
Study level: Intermediate course, level II

Coursework

Term no.: 1
Teaching semester:  AUTUMN 2020

Language of instruction: Norwegian

Location: Ålesund

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

Department of ICT and Natural Sciences

Phone:

# Examination

#### Examination arrangement: Written examination

Term Status code Evaluation form Weighting Examination aids Date Time Digital exam
Autumn ORD Written examination 100/100 HJELPEMIDD 09:00
Spring UTS Written examination 100/100 HJELPEMIDD 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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