2282.19 - Mathematics 1
Course number
2282.19
Title
Mathematics 1
ECTS
7.5
Prerequisites
Pass grade in Mathematics B at the upper secondary level.
Purpose
The course provides students with fundamental mathematical skills that are essential for the study and practice of economics, statistics, and econometrics.
Content
Basic Mathematics
- Set theory
- Set properties
Open, closed etc.
Convexity and concavity
- Sequences, series, and limits
Basic linear algebra, including
- Matrices and matrix operations
- Solutions of linear equation systems
- Determinants
- The inverse matrix and its properties
- Equations written in quadratic form
Functions of one and several variables
- Continuity
- Differentiation and differential
Rules of differentiation
Conditions for differentiation
1. order, 2. order and higher order differentiation
Taylor series
Curvature of functions (concave, convex, quasi-concave, quasi-convex)
Optimization
Conditions for maxima and minima
2. order conditions
Lagrange optimization method
Learning and teaching approaches
Lectures and tutorial classes
Learning outcomes
Having successfully completed the course, the student will be able to solve problems in these subject areas:
Basic Mathematics
- Set theory
- Set properties
Open, closed etc.
Convexity and concavity
- Sequences, series, and limits
Basic linear algebra, including
- Matrices and matrix operations
- Solutions of linear equation systems
- Determinants
- The inverse matrix and its properties
- Equations written in quadratic form
Functions of one and several variables
- Continuity
- Differentiation and differential
Rules of differentiation
Conditions for differentiation
1. order, 2. order and higher order differentiation
Taylor series
Curvature of functions (concave, convex, quasi-concave, quasi-convex)
Optimization
Conditions for maxima and minima
2. order conditions
Lagrange optimization method
Assessment method
Three hours written exam with textbooks and math formulary, but no notes and no online connection to other information
Examination
External
Marking scale
7-
Bibliography
TBA
Contact
Jóannes Jacobsen