Objectives

The objective of this course is to provide you with basic mathematical tools that are used in economic analysis.

Contents

1. Logic and proof writing
2. Sets, numbers, functions, and Euclidean space: sequences and convergence; continuous functions.
3. Linear Algebra: solving a system of linear equations; eigenvalues and eigenvectors; sefidefinite and definite matrices.
4. Differentiation
5. Unconstrained optimization
6. Equality constraints and the Lagrangean
7. Inequality constraints and the Kuhn-Tucker conditions

References

• Simon and Blume, "Mathematics for Economists", W.W. Norton, 1994.
• Sundaram, "A first Course in Optimization Theory", Cambridge University Press, 1996.

Evaluation

First attempt

Exam:

Written 2h00 hours

Documentation:

Not allowed

Calculator:

Not allowed

Evaluation:

Your final grade will be determined by a final exam, which is written and closed-book. In case of a retake exam, your final grade will be determined only based on the retake exam.

Retake

Exam:

Written 2h00 hours

Documentation:

Not allowed

Calculator:

Not allowed

Evaluation:

The retake exam is written and closed-book. The duration of the retake exam is 2 hours. If you fail the course, the retake exam determines 100% of your final grade.