Aktuel periode Aktuel periode Aktuel periode Aktuel periode 2018 Spring 2017 Spring 2016 Spring 2015 Spring
Show the courses of study containg this course Se overgangsordninger
Dansk English

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: kaad@imada.sdu.dk

Timetable
Group Type Day Time Classroom Weeks Comment
Common I Monday 12-14 U155 7,10-14,19-20
Common I Monday 12-14 U56 17
Common I Monday 12-14 U146 18
Common I Wednesday 12-14 U146 5-6,8,11
Common I Wednesday 12-14 U155 7,12-14,16-20
Common I Wednesday 10-12 U143 10
Common I Friday 10-12 U55 5-8,11,16
M1 TE Monday 08-10 U29A 17
M1 TE Tuesday 14-16 U155 19
M1 TE Wednesday 14-16 U155 7,12-14,17-19
M1 TE Wednesday 14-16 U143 8
M1 TE Wednesday 14-16 U48 9
M1 TE Wednesday 14-16 U146 11
M1 TE Thursday 12-14 U25A 6
M1 TE Thursday 14-16 U26A 12
M1 TE Friday 10-12 U155 20
Show entire timetable
 Show personal time table for this course.

Comment:
Ubegrænset deltagerantal. Udbydes til matematik-økonomi.

Prerequisites:
None

Academic preconditions:
None

Course introduction
The aim of the course is to enable the student to apply mathematical reasoning, mathematical methods and proof techniques and that the student achieves a basic understanding of philosophy of science. Moreover, it is the aim that the student acquires fundamental skills within the discipline of linear algebra in relation to applications in economy and linear models. The material covered is important in almost all aspects of mathematics and has wide-reaching applications in economics and throughout the natural sciences.
 
In relation to the competence profile of the degree it is the explicit focus of the course to:
 
Knowledge: Give the students knowledge about proof techniques and fundamental concepts in abstract mathematics (logic, sets, functions, relations). Moreover, it is the focus of the course that the student obtains knowledge about fundamental concepts and techniques in linear algebra (vector spaces, linear operators, bases, diagonalization). Finally, the course will give an introduction to philosophy of science. 
 
Skills: Give the students the skills to solve problems in linear algebra (solve systems of linear equations, find eigenvectors and eigenvalues, find matrices for linear operators). Give the students skills to apply mathematical terminology and symbols and to formalize mathematical statements in a logically correct way.
 
Competences: Give the students the competences to 1) Discuss and collaborate with others around mathematical-economical problems, solution methods, results, applying standard mathematical terminology. 2) Relate examples of mathematical-economic models to real problems (within for example linear algebra, linear programming, job assignment, game theory).
 


Expected learning outcome
The learning objective of the course is that the student demonstrates the ability to:
 
  • Apply mathematical theory and results to solve concrete problems in linear algebra
  • Argue in a mathematically correct and stringent way about the steps and techniques in the solution of given problems
  • Assess whether achieved results are correct
  • 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.
  • Understand 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.
  • Implement algorithms as computer programmes and compute numerical approximations to mathematical problems within the course syllabus which cannot be solved exactly 
 


Subject overview
The following main topics are contained in the course:
  • 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 
  • Linear independence and basis for vector spaces
  • Scalar product and orthogonality 
  • Eigenvectors and eigenvalues 
  • Diagonalization 
  • Philosophy 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

  • 4 hours lectures and 2 hours exercise classes in 15 weeks
  • Read the literature for the course

  • Solve exercises
Educational form
The lectures, where the literature (curriculum) for the course will be explained, will be supplemented by exercise classes, where relevant exercises, relating to the lectures, will be solved and explained. Both of these events are supported by the students' independent work (or group-work) on the material as described in the study phase.

Language
This course is taught in English, if international students participate. Otherwise the course is taught in Danish.

Course enrollment
See deadline of enrolment.

Tuition fees for single courses
See fees for single courses.