MEK2000 Mathematics 2000 Course description

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.

The course builds on ELFE/MAFE/KJFE1000 Mathematics 1000 or MEK1000

No requirements over and above the admission requirements.

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

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.

None.

Individual written exam, 3 hours.

The exam result can be appealed.

All printed and written aids.

Calculator.

Grade scale A-F.

One internal examiner. External examiners are used regularly.

The course has an overlap of 10 credits with MAPE2000, KJPE2000, EMPE2000 and DAPE2000, and an overlap of 5 credits with DAPE2000 and ELTS2000.