# ELE 3781 Mathematics - Elective

## ELE 3781 Mathematics - Elective

The language of mathematics is extensively used to analyse problems in business, economics and finance, and mathematical models, theories, and methods are extensively used to solve problems. The mathematical requirements of students in Business Analytics go beyond the material usually taught in other undergraduate courses, and this elective course will teach the student more advanced mathematical models, theories, and methods. In particular, it will introduce the students to modelling mathematical problems in Python, and teach hands-on skills. Topics include linear algebra and matrix methods, complex numbers, optimisation in several real variables, differential and difference equations, and optimal control theory.

After completing the course, the student will have advanced knowledge of mathematical concepts, models, theories, and methods. The student will have an advanced understanding of linear algebra and matrix methods, complex numbers, optimisation in several real variables, differential and difference equations and optimal control theory, and specialized understanding of how these mathematical models and methods can be used in business, economics and finance.

After completing the course, the student will be able to analyse quantitative problems using the mathematical language, and be able to use mathematical models and methods to solve these problems. The student will be able to assess solution strategies, be able to carry out necessary computations correctly and precisely, and to use Python to model, solve and visualize mathematical problems. The student will be able to give mathematical arguments for his conclusions, and be able to formulate written answers that explain the methods used and interpret the solutions obtained.

After completing the course, the student will be able to reflect upon central assumptions for the models and theories used, and critically assess if they are met in applications. The student will be capable of critical thinking. The student will be able to reflect upon the results obtained, and critically assess if they are reasonable.

- Linear algebra and matrix methods
- Complex numbers
- Optimization in several real variables
- Differential and difference equations
- Optimal control theory

The course is taught over one semester, and consists of lectures (45 hours) and plenary problem solving sessions (12 hours).

For each lecture, there will be a work program consisting of exercises and reading assignments. The student must learn the material presented in the reading assignments, and work through the exercises. Some of the exercises will be reviewed in lectures and plenary problem solving sessions. It is assumed that the student has worked with the exercises in order to take full advantage of the review. By allocating some time in class to short assignment related to new topics, students will be activated and learning objectives achieved.

Wolfram Alpha and Python is used in lectures and problem solving sessions to illustrate taught material. Python will be used to implement mathematical models and visualize their solutions.

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.

Please note that while attendance is not compulsory in all courses, it is the students own responsibility to obtain

any information provided in class.

All parts of the assessment must be passed in order to receive a final grade in the course.

EBA 2910 Mathematics for Business Analytics or equivalent.

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

Exam category:Submission Form of assessment:Written submission Exam code:ELE 37811 Grading scale:ECTS Grading rules:Internal examiner Resit:Examination when next scheduled course | 20 | No | 1 Week(s) | Individual | Mid-term examination in form of an assignment. | |

Exam category:Submission Form of assessment:Written submission Exam code:ELE 37812 Grading scale:ECTS Grading rules:Internal and external examiner Resit:Examination when next scheduled course | 80 | Yes | 3 Hour(s) | - BI-approved exam calculator
- Simple calculator
- Monolingual dictionary, English-English
- Bilingual dictionary, Native tongue - English
| Individual |

Course code | Credit reduction |
---|---|

GRA 6035 | 100 |

This course overlaps 100% with GRA 6035 Mathematics, which is a Core course in the Master's programs.

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

Teaching on Campus | 45 Hour(s) | |

Seminar groups | 12 Hour(s) | Plenary sessions for GRA 6035 Mathematics (in the afternoon) |

Student's own work with learning resources | 83 Hour(s) | |

Group work / Assignments | 40 Hour(s) | |

Examination | 20 Hour(s) | Mid-term assignment and final exam. |

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.