# ELE 3719 Mathematics Elective

## ELE 3719 Mathematics Elective

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

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 elective's ordinary semester.

Higher Education Entrance Qualification

**Disclaimer**

Deviations in teaching and exams may occur if external conditions or unforeseen events call for this.

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

Exam category | Weight | Invigilation | Duration | Support materials | Grouping | Comment exam |
---|---|---|---|---|---|---|

Exam category:Submission Form of assessment:Written submission Exam code:ELE37191 Grading scale:ECTS Grading rules:Internal examiner Resit:Examination when next scheduled course | 100 | Yes | 5 Hour(s) | - BI-approved exam calculator
- Simple calculator
| Individual |

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

Teaching | 45 Hour(s) | |

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

Student's own work with learning resources | 50 Hour(s) | |

Examination | 5 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.