Learning Outcomes
After the successful completion of the course, students will be able to know the required basic Mathematical Tools (Linear equations, Matrix, Dynamic economics) in order to be able to effectively continue their studies in Economics. More specifically, they will be able to solve Mathematics exercises using the above tools, as well as to model and solve Dynamic Economic Problems using the above mathematical tools successfully.
Course Content (Syllabus)
I. LINEAR ALGEBRA
Solving systems of linear equations.
Solutions by substitution and elimination.
Gauss and Gauss-Jordan elimination.
Applications of linear models in Economics.
Matrices.
Basic matrix operations.
Matrix transposition. Inverse matrix.
Vector spaces.
Linear independence. Basis of a vector spaces.
The eigenvalue problem.
Definiteness of quadratic form and eigenvalues.
II. INTEGRATION and DYNAMIC METHODS
The indefinite integral.
The definite (Riemann) integral.
Improper integrals.
Applications in Economics.
Introduction to Mathematics for Economics Dynamics
Linear, first and second-order difference equations.
Linear, first and second-order differential equations.
Keywords
Systems of linear equations, Matrices, Vector spaces, Integral, Difference Equations, Differential Equations
Course Bibliography (Eudoxus)
ΜΑΘΗΜΑΤΙΚΑ ΟΙΚΟΝΟΜΙΚΩΝ ΕΠΙΣΤΗΜΩΝ, Hoy Michael, Livernois John, McKenna Chris, Stengos Thanasis. Επιμέλεια Κυρίτσης Ιωάννης Εκδόσεις Gutenberg.
ΠΡΟΣΚΛΗΣΗ ΣΤΑ ΜΑΘΗΜΑΤΙΚΑ ΟΙΚΟΝΟΜΙΚΩΝ & ΔΙΟΙΚΗΤΙΚΩΝ ΕΠΙΣΤΗΜΩΝ (Τόμος B').Λουκάκης Μαν
ΜΑΘΗΜΑΤΙΚΑ ΟΙΚΟΝΟΜΙΚΩΝ ΕΠΙΣΤΗΜΩΝ (τόμος Β): Λουκάκης Μανώλης. Εκδόσεις ΣΟΦΙΑ.