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.