Course Code : | 1202TEWKWM |

Study domain: | Mathematics |

Academic year: | 2019-2020 |

Semester: | 1st semester |

Sequentiality: | The student must have obtained a credit for the following course: - 'Wiskunde met (bedrijfs)economische toepassingen' (at least 8/20) |

Contact hours: | 75 |

Credits: | 6 |

Study load (hours): | 168 |

Contract restrictions: | No contract restriction |

Language of instruction: | Dutch |

Exam period: | exam in the 1st semester |

Lecturer(s) | Tom Mestdag |

At the start of this course the student should have acquired the following competences:

an active knowledge of

an active knowledge of

- Dutch

The knowledge and competencies acquired in the course "Mathematics with Applications in (Business and) Economics1 " of the first bachelor-year.

- Analyst: You know the convergence criteria for improper integrals and you can apply these rules to determine the domain of the Gamma, Beta and Laplace functions.
- Coordinator: You can solve and apply certain typed of differential equations of the 1st and 2nd order.
- Coordinator: You know the matrices with their structures and certain characteristics of square matrices like eigenvalues and eigenvectors that enables you to bring a matrix in echelon form, to solve linear difference equations and to find the extremal values of functions in several variables.
- Coordinator: You know the simplex method to solve linear programming problems and to apply this method to economic situations.
- Communicator: You are able to justify and explain the mathematical techniques and methods methods.
- Communicator: You are be able to construct accurate reasoning (from analysing the problem to the solutions and conclusion) and can report about this in a clear way.

The course consists mainly of linear algebra, differential equations and linear programming.

The part on linear algebra deals with several aspects of matrices and vectors. It contains the following topics: rank of a matrix, row-echelon form, LU-decomposition, subspaces and basis, orthogonality of vectors, eigenvalues and eigenvectors, diagonalisation of square matrices, systems of linear difference equations, quadratic forms.

In the part on differential equations we treat the most common solution techniques for e.g. separable differential equations and (systems of) linear differential equations (of higher order). We also consider some aspects of the qualitative study of differential equations. We also study line integrals, necessary in mechanics.

In the part on Linear Programming, we introuduce the most common optimalization technique: that of the simplex method.

Each part contains several applications in economy and technology.

Class contact teachingLectures Seminars/Tutorials

**5.3 Facilities for working students ***

Classroom activities

Classroom activities

- Practica: free to choose the group division

ExaminationWritten examination without oral presentation Closed book Open-question

Syllabus available at Universitas. (http://www.cursusdienst.be)

Extra examples and exercises are available on Blackboard.

If problems arise with foreknowledge, the student can turn to the course of the first year or to the "Self-study Package Foreknowledge Mathematics " on Blackboard.

**Titular:**

Dr. T. Mestdag, office B422, email: tom.mestdag@uantwerpen.be