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. Probability, conditional probability, Bayes rule
3. Matrices and systems of linear equations
4. Sets, numbers, functions, sequences, spaces
5. Differentiation and unconstrained optimization
6. Optimizing under equality constraints: The Lagrangean
7. Optimizing under inequality constraints: Kuhn-Tucker conditions

References

• Simon and Blume, “Mathematics for Economists,” WW Norton, 1994.
• Sundaram, "A First Course in Optimization Theory", Cambridge University Press, 1996.

Reading notes will be provided as required.

Evaluation

First attempt

Exam:

Written 1.5h hours

Documentation:

Allowed

Calculator:

Allowed

Evaluation:

Your final grade will be determined solely based on an in-class exam, which is open-book and of 90 minutes duration, to be held in the 7th week of class. Details of the exam will be provided during the sessions of the course. In case of a retake exam, your final grade will be determined based on the retake exam.

Retake

Exam:

Written 2h00 hours

Documentation:

Allowed

Calculator:

Allowed

Evaluation:

Written exam of 2hours, open-book