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.

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:

• using linear algebra to calculate eigenvalues and eigenvectors
• discussing functions of multiple variables and as solutions of difference equations different problems
• discussing and explaining how sequences can be derived through sampling (measurement), with the use of formulas, and to solve differential equations
• explaining the convergence of series, and explaining power and Fourier series as approximations to functions
• using Taylor polynomials to calculate approximate values for integrals and limiting values

Skills The student is capable of:

• using diagonalization of matrices to solve linear systems of differential equations with constant coefficients
• interpreting the gradient and the directional derivative geometrically and using linear approximation and the total differential for functions in multiple variables to calculate uncertainty
• determining and classifying critical points in functions of two variables
• discussing the interpolation problem, and explaining and using methods to determine an interpolating polynomial
• determining the convergence of series using the ratio test, and differentiating and integrating power series term-by-term
• determining Maclaurin series and calculate polynomials as approximations to functions, and calculate Fourier series of periodic functions

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..

A handheld calculator that cannot be used for wireless communication or to perform symbolic calculations.

A grade scale with grades from A to E for pass (with A being the highest grade and E being the lowest pass grade) and F for fail is used for the final assessment.

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.