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G MAT Mathematics ( efterår 2011 - 5 ECTS )

Rammer for udbud

  • Uddannelsessprog: engelsk
  • Niveau: BSc. (B) Intl. Business (HAib)
  • Semester/kvarter: 1st semester
  • Timer per uge: 2 hours + exercises
  • Deltagerbegrænsning: -
  • Undervisningssted: Herning
  • Hovedområde: Det Samfundsvidenskabelige Fakultet
  • Udbud ID: 26118

Formål

The objective of the mathematics course is to provide the students with knowledge
about mathematical concepts and methods applied within financial/statistical
subject areas as well as to make the students conversant with mathematical
application to formulation and solution of financial/statistical problems. The
purpose is not to teach finance/statistics, but instead use examples/assignments focusing on finance/statistics.

Course background:

The students must have mathematics at ‘B'-level (high school exam). However, this level is insufficient when attending many of the courses at the study programme.

Thus, it is necessary to provide the students with sufficient mathematical skills within a number of subject areas significantly above a high school ‘A'-level.

Indhold

The course contains the following main subjects:

1.   Functions in more variables

  • Functions in two variables
  • Partial differentiations
  • Graphical representation of functions in two variables
  • Financial applications
  • Complex functions/chain rules
  • Implicit differentiation
  • Optimisation
  • Optimisation of more variables


2.      Integration

  • Indefinite and definite integrals
  • Infinite integrals
  • Integration by parts
  • Integration by substitution
  • Specific definite integrals

3.       Financial applications

  • Compound interest
  • Geometric series
  • Investment appraisal

 

4.       Matrix and vector algebra

  • Linear equation systems
  • Matrix operations
  • Matrix multiplication
  • Transposition
  • Vectors


5.    Determinants and matrix inversion

  • Determinants
  • Inversion
  • Cramer's rule.

Faglige forudsætninger

-

Underviser

Steen Mortensen

Undervisnings- og arbejdsform

Lectures supplemented with exercises

Litteratur

See the booklist available on AU Hernings BlackBoard

Udarbejdet af

The examination is a four hour written assignment. All aids are allowed.

The mark is either passed or non-passed



During the semester, the student can hand in 9 exercises for delivery. To be submitted to the exam, it is a presumption that the student (in due time) has handed in 2/3 corresponding with 6 exercises and that these 6 exercises have been approved.


The reexamination is the same as the ordinary; however, in case only five students attend the reexamination, the students will be tested at an oral examination instead

Studieordning og bedømmelse


HA international management

  • Skriftlig, bedømt efter Bestået/ikke bestået uden censur
  • PC-eksamen, bedømt efter Bestået/ikke bestået med intern censur