Course syllabus - Introduction to Research Areas in Mathematics/Applied Mathematics

Objectives

The aims of this course are to give the student an opportunity to acquire deeper knowledge about research in mathematics/applied mathematics (in particular, questions, methods, and traditions about presentation) and to train the skill set needed for a successful degree project in mathematics/applied mathematics.

Learning outcomes

At the end of a passed course the student is expected to be able to

- give an account of research questions and methods within several areas of mathematics/applied mathematics
- assess the appropriateness of different methods for different questions
- formulate own plans for mathematical investigations on the Bachelor level, which include clear questions and motivated choices of methods
- use software for writing mathematical text
- give an account of, and follow, conventions for how to present mathematics in writing

Course content

- Descriptions of research questions and methods within a number of areas in mathematics/applied mathematics, with a focus on research conducted within the department
- How mathematicians reason when they choose research questions and methods
- The basics of LaTeX
- Conventions for written presentation of mathematics, such as the structure in definitions-theorems-proofs, how to describe simulations and their results, and to cite other sources
- Preliminary choice of topic for a degree project in mathematics/applied mathematics

Specific requirements

At least totally 60 credits in the technical, natural sciences, business administration or economics including 50 credits within the area of mathematics/applied mathematics, out of which at least 20 credits at G1F level or higher.

Examination

Exercise (INL1), 2 credits, marks Pass (G), Research questions and methods in various areas of mathematics
Exercise (INL2), 3,5 credits, marks Pass (G) or Pass with distinction (VG), Development of own plan for a mathematical investigation at the Bachelor level
Exercise (INL3), 1 credits , marks Pass (G), Presentation of mathematics in writing using the LaTeX system
Participation (NÄR1), 1 credits, marks Pass (G), Guest lectures of the researchers in the department

To obtain a Pass with Distinction on the course a Pass with Distinction is required on INL2.

A student who has a certificate from MDU regarding a disability has the opportunity to submit a request for supportive measures during written examinations or other forms of examination, in accordance with the Rules and Regulations for Examinations at First-cycle and Second-cycle Level at Mälardalen University (2020/1655). It is the examiner who takes decisions on any supportive measures, based on what kind of certificate is issued, and in that case which measures are to be applied.

Suspicions of attempting to deceive in examinations (cheating) are reported to the Vice-Chancellor, in accordance with the Higher Education Ordinance, and are examined by the University’s Disciplinary Board. If the Disciplinary Board considers the student to be guilty of a disciplinary offence, the Board will take a decision on disciplinary action, which will be a warning or suspension.

Grade

Three-grade scale