2282.16 - Mathematics for Economics 1

2282.16

Mathematics for Economics 1

7.5

Upper secondary diploma with B-level mathematics or equivalent qualifications.

The purpose of this course is to provide students with a foundation in higher-level mathematics for application in economics, statistics and econometrics.

Fundamental mathematics - Sets - Characteristics of sets o Open, closed, etc. o Convexity - Series and convergence Fundamental linear algebra including - Matrixes and calculations using matrixes - Solving linear equation systems - Determinants - The inverse matrix and its properties - Equations written in quadratic form Functions with one or more variables - Continuity - Differentiation and differential o Calculation rules o Conditions for differentiation o 1st order, 2nd order and higher orders o Taylor series o Curve forms (Concave, convex, quasiconcave, quasiconvex) - Optimization o Conditions for maximum and minimum o 2nd order conditions o Lagrange

Lectures and exercises

The successful student can demonstrate ability to solve problems in these topics: Fundamental mathematics - Sets - Characteristics of sets o Open, closed, etc. o Convexity - Series and convergence Fundamental linear algebra including - Matrixes and calculations using matrixes - Solving linear equation systems - Determinants - The inverse matrix and its properties - Equations written in quadratic form Functions with one or more variables - Continuity - Differentiation and differential o Calculation rules o Conditions for differentiation o 1st order, 2nd order and higher orders o Taylor series Curve forms (Concave, convex, quasiconcave, quasiconvex) - Optimization o Conditions for maximum and minimum o 2nd order conditions o Lagrange

Oral examination lasting 20 minutes with 40-minute preparation time. Students are allowed to use the course bibliography and personal notes.

External

7-

The course reading list will be made available at the department

Jóannes Jacobsen