The aims of the unit are to introduce mathematical concepts and techniques learn how to apply these in management and economics. bring all new incoming students up to a minimum level of mathematic competency before the core economics courses start.
After completing the unit the attendees will be able to: demonstrate a working knowledge of mathematical methods for decision making acquire a deeper understanding of the mathematics obtain a sound foundation for later specialisation in the mathematical aspects of economics. enhance their capability to think clearly and rigorously, as required in their study of economic theory.
The course reviews basic elements of mathematics, to provide the foundations for subsequent courses. The topics covered are: Univariate and Multivariate Real Functions Limits and Continuity Derivatives and partial derivatives Applications of the Derivatives Implicit functions Integrals Univariate optimization Multivariate optimization Convexity Matrices Determinants, Linear Independence and Inverse Matrices Systems of Equations, Conditions for a maximum Lagrange function Differential equations Phase diagrams Higher order differential equations
Students are expected to carefully study the lecture notes. The final grade will be based on the final examination.