# ELE 0719 Mathematics elective

## ELE 0719 Mathematics elective

This course gives an introduction to selected topics in mathematics and probability theory..

**Please note!**

Due to the Corona situation, BI Norwegian Business School has decided that the exam in this course will be changed in the spring of 2020. The course this spring will be evaluated with a home exam which counts 100%. This will be assessed as pass / fail. No one will get a letter grade.

All students who have registered for the exam in this course in spring 2020 will be registered for this new course and exam code. This also applies to re-sit students.

Re-sit students who prefer to re-sit for the original exam codes, will be able to do so in the fall of 2020, provided the Corona situation is under control. The spring exam will not count as an exam attempt, and will also be free of charge for students. No continuation exam will be offered for this spring's home exam.

Upon completing this course, the student should have acquired mathematical knowledge in selected topics that are important for finance, economics and statistics. The student should:

- Know important concepts in linear algebra and vector calculus, such as matrices, vectors, determinants and quadratic forms, and know how to use these in optimization and multivariate statistics.
- Understand probability models from a mathematical point of view.
- Know the concept differential equation, and know how differential equations can be used for modelling.
- Understand foundations of calculus of variations and optimal control theory, and know how this theory can be used in economics.

Upon completing this course, the student should have acquired skills including:

- Mastery of calculations with matrices, vectors and determinants, find eigenvalues and eigenvectors, and ability to use this in applications.
- Ability to compute with probabilities and probability models in one or several variables, and to use this in applications.
- Ability to solve selected types of differential equations, with and without initial conditions.
- Ability to solve selected optimization problems.

Upon completing this course, the student should have strengthened his/her analytical thinking, and have realized the value of precise and systematic work.

- Linear algebra and vector calculus
- Probability theory
- Differential equations
- Optimal control theory

The course has 45 hours of lectures. There will be work programmes with problems that the student should solve. Some of the problems will subsequently be solved in class.

Some time in class will be set aside for the students to work on basic problems in topics recently covered in lectures. This will activate the students and increase the learning outcome through the presentation of solutions to the problems.

For electives re-sit is normally offered at the next scheduled course. If an elective is discontinued or is not initiated in the semester it is offered, re-sit will be offered in the electives ordinary semester.

Higher Education Entrance Qualification

The course builds on MET 1180 Mathematics, or MET 2910 Mathematics.

Assessments |
---|

Exam category: Submission Form of assessment: Written submission Weight: 100 Grouping: Individual Duration: 5 Hour(s) Exam code: ELE07191 Grading scale: Pass/fail |

Activity | Duration | Comment |
---|---|---|

Teaching | 45 Hour(s) | |

Group work / Assignments | 100 Hour(s) | |

Student's own work with learning resources | 49 Hour(s) | |

Examination | 6 Hour(s) |

A course of 1 ECTS credit corresponds to a workload of 26-30 hours. Therefore a course of 7,5 ECTS credit corresponds to a workload of at least 200 hours.