Mathematics 2 for mechanical and civil engineering
2012-2013 - 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

Teaching Methods (additional text)

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%

Grading Scale

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