Entry requirements

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.

Main field

CTMAV Materials Science

Progression level in relation to degree requirements

The course is included in the main field of Materials Science and may be included in a Master’s degree in Materials Science (120 credits).

Course contents

• 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.

Learning outcomes

Knowledge and understanding

In order to pass the course, the student must be able to:

1. account for the role of mathematics and programming in solving problems in physics and engineering

Skills and abilities

In order to pass the course, the student must be able to:

2. solve computational tasks and problems within the mathematical areas included in the course content

3. develop programs to solve problems in mathematics, physics and engineering

4. carry out an interdisciplinary programming project

5. document in writing and present orally the results of a programming project

Judgement and approach

In order to pass the course, the student must be able to:

6. critically review and evaluate the performance and correctness of programs used to solve problems in mathematics, physics and engineering

7. evaluate, based on argumentation, the performance of different methods—mathematical, numerical and programming—that may be used to solve a given problem

Learning activities

Lectures, exercises, seminars, computer laboratory work, supervised projects and independent study.

Assessment

Requirements for a pass grade (A–E)

• Written examination, 6 credits (Learning outcomes 2, 6, UA)
• Laboratory reports, 4 credits (Learning outcomes 1, 2, 3, 6, 7, UG)
• Presentations and participation in seminars, 2 credits (Learning outcomes 2, 5, 6, 7, UG)
• Project presentation and project report, 3 credits (Learning outcomes 1, 3–7, UA)

The final grade is based on an overall assessment of the student’s performance in the written examination, project presentation and project report.

Course literature and other study materials

• Jönsson. P. Programming, Modeling and Simulation in Python, Studentlitteratur (2022)
• Jönsson. P. Lecture notes on differential calculus of functions of several variables, Department of Materials Science and Applied Mathematics, Malmö University

Course evaluation

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).

Interim rules

If a course is no longer offered, or has undergone significant changes, the students must be offered two opportunities for re-examination based on the syllabus that applied at the time of registration, for a period of one year after the changes have been implemented. The syllabus is a translation of a Swedish source text.

Additional information

If a student has a Learning support decision, the examiner has the right to provide the student with an adapted test, or to allow the student to take the exam in a different format. The syllabus is a translation of a Swedish source text.