Programplaner og emneplaner  Student
MEK2000 Mathematics 2000 Course description
 Course name in Norwegian
 Matematikk 2000
 Study programme

Bachelor's Degree Programme in Electrical and Electronic EngineeringBachelor's Degree Programme in Biotechnology and Applied ChemistryBachelor's Degree Programme in Mechanical Engineering
 Weight
 10 ECTS
 Year of study
 2023/2024
 Curriculum

FALL 2023
 Schedule
 Programme description
 Course history

Introduction
This course, together with Mathematics 1000, will give the students an understanding of mathematical concepts, problems and solution methods with the focus on application, particularly in engineering subjects.
Recommended preliminary courses
The course builds on ELFE/MAFE/KJFE1000 Mathematics 1000 or MEK1000
Required preliminary courses
No requirements over and above the admission requirements.
Learning outcomes
After completing the course, the student is expected to have achieved the following learning outcomes defined in terms of knowledge, skills and general competence:
Knowledge
The student is capable of:
 explaining how functions can be approximated by taylor polynomials, power series and/or fourier series, explain what it means that a series converge, and differentiate and integrate powerseries.
 explaining what a frequency spectrum is, and explaining the principle of filtering signals in the frequency domain.
 describing and explaining how a sequence of numbers can originate by sampling, by using a formulae or as the solution of a difference equation.
 explaining how to interpolate sampled data.
 explaining partial differentiation and using different graphical ways to describe functions of two variables
 calculating eigenvalues and eigenvectors of matrixes and giving a geometrical interpretaions of these values
Skills
The student is capable of:
 discussing the connection between fourier series and fourier transforms
 discussing pro and cons using interpolating polynomials, splines and least squares method to interpolate sampled data
 discussing error barriers when using polynomials to approximate functions
 using simple tests of convergence of series, for example the ratio test
 giving a geometrical interpretation of gradient and directional derivative and using linear approximation and total differential of functions of two variables to calculate uncertainty
 using partial differentiation to calculate and classify critical points of functions of two variables
 using eigenvalues and eigenvectors to solve systems of differential equations with constant coeffisients
General competence
The student is capable of:
 identifying the connection between mathematics and their own field of engineering
 translating a practical problem from their own field into mathematical form, so that it can be solved analytically or numerically
 using mathematical methods and tools that are relevant to their field of engineering
 assessing the results of mathematical calculations and using basic numerical algorithms
Teaching and learning methods
The course is taught through joint lectures and exercises. In the exercise sessions, the students work on assignments, both individually and in groups, under the supervision of a lecturer.
Students will be able to evaluate their own and others' professional work, and formulate assessments of these in such a way that the assessment provides advice on further study work. Exercise in this takes place in the hourly planned part of the work sessions. Students will therefore conduct weekly assessments of assignments based on weekly assignments. Information on how the weekly assessments will be conducted will be given in the lectures.
Course requirements
None.
Assessment
Individual written exam, 3 hours.
The exam result can be appealed.
Permitted exam materials and equipment
All printed and written aids.
Calculator.
Grading scale
Grade scale AF.
Examiners
One internal examiner. External examiners are used regularly.
Overlapping courses
The course has an overlap of 10 credits with MAPE2000, KJPE2000, EMPE2000 and DAPE2000, and an overlap of 5 credits with DAPE2000 and ELTS2000.