# EXC 0910 Mathematics

## EXC 0910 Mathematics

This is a basic mathematics course that spans two semesters. It aims to prepare the student for quantitative courses in economics and finance. The first semester (autumn) covers basic mathematical skills in algebra, equations, inequalities, functions and their graphs, and differentiation. The second semester (spring) focuses on more advanced calculus and some financial mathematics.

**Please note!**

Due to the Covid-19 situation, BI Norwegian Business School has decided that the exam in this course will be changed in the autumn of 2020. The course will this autumn be evaluated with a home exam that counts 100%. This will be assessed as passed / failed.

Students will get to know a wide area of mathematical topics relevant to subjects in business administration such as statistics, finance and economics.

After completed course students shall:

- Master fundamental skills in algebra, and be able to solve equations and inequalities
- Firmly understand the notion of a function and its graph
- Master derivatives and understand the relation between the derivative and the slope on a graph
- Use differentiation to solve optimization problems and calculate elasticities
- Master simple integration and understand its relation to the area between graphs
- Be familiar with exponential and logarithmic functions. Understand the use of the exponential function in calculating compound interest
- Be familiar with the use of price, profit and cost functions in economics
- Be able two solve constrained optimization problems in two dimensions by using partial differentiation and Lagrange multipliers
- Be able to evaluate determinants and use Cramer's rule to solve linear equations

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- Basic algebra
- Solving equations and inequalities. Systems of equations
- Functions and graphs
- Differentiation and its use in economics
- Basic financial mathematics
- Basic integration
- Functions of two variables. Partial differentiation and Langrange's method
- Determinants and Cramer's rule

The oroginal course EXC 2910 spans two semesters and consists of an introduction and an advanced part, total 84 lecture hours.

__Introduction part __

First semester (autumn - EXC 2911) 36 hours - covers basic mathematical skills in algebra, equations, inequalities, functions and their graphs, and differentiation.

__Advanced part __

Second semester (spring - EXC 2912) 48 hours - focuses on more advanced calculus and financial mathematics.

The lecture hours will both cover the theory and train the students in practical problem solving. Training / use of Excel will be integrated into teaching. Every week the students are assigned exercises that will be discussed in the following lecture. The students are expected to work on these weekly exercises, and they will form a basis for the examinations.

Spreadsheet will be useful in this course.

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Higher Education Entrance Qualification.

No specific prerequisites required.

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

Exam category:Submission Form of assessment:Written submission Exam code:EXC09101 Grading scale:Pass/fail Grading rules:Internal and external examiner Resit:- | 100 | No | 4 Hour(s) | Individual | Must be passed to obtain final grade. |

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

Teaching | 36 Hour(s) | Introduction |

Prepare for teaching | 10 Hour(s) | Introduction |

Group work / Assignments | 11 Hour(s) | Introduction |

Teaching | 50 Hour(s) | Advanced |

Prepare for teaching | 72 Hour(s) | Advanced |

Group work / Assignments | 75 Hour(s) | Advanced |

Examination | 6 Hour(s) | Advanced |

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.