Fundamental methods in Mathematics that are required for reading economic literature:

Matrix algebra, determinants, calculus of univariate and multivariate functions, static optimization, dynamic systems.

Participants gain or deepen their knowledge of mathematical methods that are obligatory to the understanding of economic literature. They are able to understand and apply the formal methods required in microeconomics and macroeconomics.

These includes

• linear algebra (matrix algebra, determinants, Cramer's rule, vector space, eigenvalues)

• calculus (derivatives and integrals, implicit and inverse function theorem, Taylor series, Hessian matrix, big Oh notation)

• static optimization (convex and quasi-convex functions, stationary points, extrema, Lagrange multiplicator, Kuhn-Tucker condition, envelope theorem)

• linear systems (first order linear difference equation,  cobweb diagram, first order differential equations, stability of solutions)

Attendance is mandatory. Absence not exceeding two units in total is accepted.

Mathematical methods will be presented and explained by the lecturers.

Participants should prepare by studying the respective chapters for each meeting as well as by submitting solutions to homework examples. They should be able to present their home solutions.

Feedback on selected homework examples will be provided by the lecturers.

• Two intermediate quizzes (25 points each)
• Final exam (50 points)
• Positive grade: at least 25 points on final exam, at least 50 points in total

Basic concepts and techniques as discussed in the "Bridging Course Mathematics". These include handling and transformation of terms, equalities and inequalities, functions and maps, drawing and interpretation of function graphs, derivatives and integration, matrix algebra.

Lecture notes and work sheets.