Suggested textbooks:
(1) Lipschutz, S., (1991), Theory and Problems in Linear Algebra, second edition, Schaum's Outline Series, McGraw-Hill, New York, NY.
(2) Ok, E. A., (2007), Real Analysis with Economic Applications, Princeton University Press, Princeton NJ.
(3) Apostol, T. M., (1967), Calculus, Volume 1, 2nd edition, John Wiley & Sons, New York, NY.
(4) Apostol, T. M., (1974), Mathematical Analysis, 2nd edition, Addison-Wesley Publishing Company, Reading, MA.
Learning Objectives
The goal of this course is to provide mathematical tools which allow to build and understand simple economic models.
Prerequisites
Basic knowledge of mathematical analysis.
Teaching Methods
Class lectures. The course length is 12 weeks with three classes per week.
Further information
The course has an internet page on the platform Moodle, which provides further information on the course.
Type of Assessment
Each student must take an oral exam.
Course program
Euclidean Spaces. Matrices. Linear systems. Vector spaces. Determinant and rank of a matrix. Linear functions. Linear functions and matrices. Metric spaces. Topology. Partial and directional derivatives. Differentials. Implicit function theorem. General convexity. Maximization problems.