# Mathematics 2 for mechanical and civil engineering 2013-2014 - REA2071 - 10 ECTS

## On the basis of

REA1141 Mathematics 1

## Expected learning outcomes

The students will learn mathematical tools and methods for engineering problem solving, and acquire a foundation for further study in mathematics and engineering. The course emphasizes modeling and applications.

Knowledge

• Understand the  relevance of mathematics in engineering problem solving
• Able to identify applications of mathematics in engineering subjects
• Know the possibilities and limitations of mathematical software

The course gives in-depth knowledge in the areas of linear algebra with selected applications, power series and extreme value problems, with:

Skills

• able to understand and use mathematical language.
• able to use mathematical methods and software to solve problems.
• able to judge accuracy of numerical results.
• basic mathematical reasoning
• able to do simple mathematical modeling

The skills are developed by applications to the knowledge areas.

## Topic(s)

Systems of linear equations:

• Matrices
• Vector spaces
• Linear transformations
• Eigensystems and diagonalisation
• Series, sequences and convergence
• Taylor series

Difference equations:

• Splines
• The element method
• Extreme value problems in several variables using partial derivatives and the least squares method

## Teaching Methods

Lectures

Regneøvinger

For Fleksibel ingeniørutdanning:

•  Nettforelesninger
•  Oppgaveløsing
•  Nettmøter (Elluminate, samlinger)

## Form(s) of Assessment

Written exam, 4 hours

## Form(s) of Assessment (additional text)

Eksamen teller 100%

Alphabetical Scale, A(best) – F (fail)

## External/internal examiner

Sensureres av intern sensor (emnelærer).
Ekstern sensor benyttes periodisk (hvert 3-4 år) til retting og til utarbeiding av eksamensoppgaver. Neste gang: 2013.

## Re-sit examination

Det arrangeres egen kontinuasjonseksamen for den skriftlige eksamenen.

## Examination support

Kalkulator som ikke kan kommunisere med andre, formelsamling (Haugan).

## Coursework Requirements

At least four problem sheets, including at least one using mathematical software, must be completed to take the exam.

## Teaching Materials

Otto Bretscher, Linear algebra with applications

Edwards & Penney, Calculus, Early Transcendentals

Lecture notes published on classfronter

## Replacement course for

Matematikk 15 og 20