Course syllabus - Introduction to research areas in mathematics/applied mathematics 7.5 credits

Forskningsorientering i matematik/tillämpad matematik

Course code: MAA136
Valid from: Autumn semester14
Level of education: First cycle
Subject: Mathematics
Main Field(s) of Study: Mathematics/Applied Mathematics,
In-Depth Level: G2F (First cycle, has at least 60 credits in first-cycle course/s as entry requirements),
School: UKK
Ratification date: 2014-02-12


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

Teaching methods

Lectures and group work sessions.

Specific entry requirements

60 credits within the area of mathematics/applied mathematics, out of which at least 30 credits at G1F level or higher


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 MDH 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 (2016/0601). 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.

Rules and regulations for examinations


Three-grade scale

Enviromental aspects

Environmental aspects have been considered but are not highlighted in the learning outcomes

Course literature is preliminary until 3 weeks before the course starts. Literature may be valid over several terms.

Valid from: Could not find valid date

Decision date: 2016-02-01

Last update: 2016-02-01


Zill, D.G; Wright, W.S;

Differential Equations with Boundary-Value Problems