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MM540: Mathematical methods for economics (10 ECTS)

STADS: 13012001

Level
Bachelor course

Teaching period
The course is offered in the spring semester.

Teacher responsible
Email: debrabant@imada.sdu.dk

Additional teachers
achim@imada.sdu.dk

Timetable
Group Type Day Time Classroom Weeks Comment
Common I Monday 12-14 U146 6,17-18
Common I Monday 10-12 U146 16
Common I Tuesday 12-14 U52 21 ekstra timer mm540
Common I Wednesday 10-12 U146 21
Common I Thursday 12-14 U146 5-6,9-11,13-17,19-21
Common I Friday 10-12 U146 5-6,9-11,13-15,17-18,20
H1 TE Monday 12-14 U146 7,9,11,14-15,19,22
H1 TE Thursday 10-12 U155 5,10,19
H1 TE Thursday 10-12 U146 16
H1 TE Friday 14-16 U146 7,13,17,20
Show entire timetable
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Comment:
Ubegrænset deltagerantal. Udbydes til matematik-økonomi.

Prerequisites:
None

Academic preconditions:
None

Course introduction
The course conveys techniques fundamental to mathematical reasoning. Mathematical methods and proof techniques will be presented. Linear algebra, as it is applied in economy, will be presented to give an understanding for associations and linear models.

Qualifications
Problem solving, understanding principles of mathematical thinking, argumentation and ability to carry out and understand proofs, ability to handle abstract mathematical concepts, ability to present in written form precise mathematical arguments, ability to implement simple mathematical algorithms.

Expected learning outcome
At the end of the course, the student will be able to:

  • relate examples of mathematical-economic models to real problems (within for example linear algebra, linear programming, job assignment, game theory)
  • formalise statements in a logically correct way
  • express themselves short and precise
  • prove assertions by applying  proof techniques  such as direct proof, indirect proof and proof by induction. Use concepts, results and techniques learned in this course on known as well as new concrete problems.
  • argue in a mathematical correct and stringent way about the steps and techniques in the solution of given problems
  • formulate and apply correct mathematical arguments and techniques
  • • implement algorithms as computer programmes and compute numerical approximations to mathematical problems with the course syllabus which cannot be solved exactly
  • use mathematical terminology and symbols
Subject overview
  • Sets and cardinality
  • Functions
  • Logic
  • Proof techniques: direct proof, indirect proof, proof by contradiction and proof by induction
  • Relations, including different representations of relations, closures, partial order and equivalence relations
  • Systems of linear equations
  • Matrices, determninants
  • Vector spaces
  • Scalar product and orthogonality
  • Eigenvectors and eigenvalues
  • Diagonalization
  • Introduction to Theory of Science
Literature
There isn't any litterature for the course at the moment.

Website
This course uses e-learn (blackboard).

Prerequisites for participating in the exam
None

Assessment and marking:
  1. Obligatory assignments during the course. Internal evaluation, Danish 7-mark scale (10 ECTS). (13012002)
Expected working hours
The teaching method is based on three phase model.
Intro phase: 60 hours
Skills training phase: 30 hours, hereof:
 - Tutorials: 30 hours

Educational activities Study phase: 90 hours

Language
This course is taught in Danish or English, depending on the lecturer. However, if international students participate, the teaching language will always be English.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.