EduSinglePage
Om kursen
The course at Master’s level integrates advanced mathematics and programming with a focus on applications in physics and engineering. Central mathematical areas include multivariable calculus, vector analysis, partial differential equations, and numerical methods. The emphasis is on how these theories are used to formulate and solve computational problems. The programming component addresses fundamental concepts such as data structures, input and output, and program structure using functions and modules. The course stresses problem-solving in contexts where mathematical models are implemented and analysed using program code. Emphasis is placed on interpreting and validating results and on the ability to document and present calculations and programs clearly.
Denna kursen ges som del av program:
Kursinnehåll
- Elements of multivariable calculus; topology, derivatives, Taylor expansions, optimisation, integral calculus.
- Vector analysis; vector fields, line and surface integrals, Gauss’ and Green’s theorems.
- Partial differential equations; formulation and interpretation, solution using series expansions.
- Numerical mathematics; non-linear equations, interpolation and extrapolation, least-squares fitting to measurement data, numerical differentiation and integration, grid-based solutions to ordinary and partial differential equations.
- Elements of programming; data structures, files, input and output, arithmetic operations, vectors, matrices, graphics.
- For-, if-else-, while-statements, built-in functions and user-defined functions, program structure and modules.
- Applications of mathematics and programming to solve problems in physics and engineering together with interpretation and validation of computed results.
- Written documentation and oral presentation of mathematical calculations and developed programs.
Behörighetskrav
1. A Bachelor’s degree or a professional Bachelor’s degree (BSc/Engineering) in Materials Engineering, Mechanical Engineering, Physics, Chemistry, or equivalent. The degree must comprise at least 180 credits.
2. A minimum of 22.5 credits in Mathematics.
3. English 6. Or: English level 2.
Kurslitteratur
Aktuell litteraturlista finns i kursplanen
Kursvärdering
Malmö University provides students who participate in, or who have completed a course, with the opportunity to express their opinions and describe their experiences of the course by completing a course evaluation administered by the University. The University will compile and summarise the results of course evaluations. The University will also inform participants of the results and any decisions relating to measures taken in response to the course evaluations. The results will be made available to the students (HF 1:14).
