Course Information
FacultyEconomic and Political Sciences
Cycle / Level1st / Undergraduate
Teaching PeriodSpring
CoordinatorAlexandra Gkoulgkoutsika
Course ID100001410

Programme of Study: UPS School of Economics (2013-today)

Registered students: 786
OrientationAttendance TypeSemesterYearECTS
KORMOSCompulsory Course216

Class Information
Academic Year2020 – 2021
Class PeriodSpring
Instructors from Other Categories
Weekly Hours4
Class ID
Course Type 2016-2020
  • Background
  • General Knowledge
  • Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
  • Distance learning
Language of Instruction
  • Greek (Instruction, Examination)
Learning Outcomes
Students are expected to be • know the required Mathematical Tools (Linear Systems, Matrix, Dynamic Economics) • understand the link between mathematics and economics • solve Mathematics exercises using the above tools, as well as model and solve Dynamic Economics Problems using the above mathematical tools • acquire the necessary mathematical tools for their studies in Economic Theory, for the follow-up and better understanding of other relevant courses during their studies
General Competences
  • Apply knowledge in practice
  • Make decisions
  • Work autonomously
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.
Systems of linear equations, Matrices, Vector spaces, Integral, Difference Equations, Differential Equations
Educational Material Types
  • Slide presentations
  • Book
Use of Information and Communication Technologies
Use of ICT
  • Use of ICT in Course Teaching
  • Use of ICT in Communication with Students
Course Organization
Student Assessment
Student Assessment methods
  • Written Exam with Multiple Choice Questions (Summative)
  • Written Exam with Short Answer Questions (Summative)
  • Written Exam with Extended Answer Questions (Summative)
Course Bibliography (Eudoxus)
ΜΑΘΗΜΑΤΙΚΑ ΟΙΚΟΝΟΜΙΚΩΝ ΕΠΙΣΤΗΜΩΝ, Hoy Michael, Livernois John, McKenna Chris, Stengos Thanasis. Επιμέλεια Κυρίτσης Ιωάννης Εκδόσεις Gutenberg. Κωδικός Βιβλίου στον ΕΥΔΟΞΟ: 22767283. ΠΡΟΣΚΛΗΣΗ ΣΤΑ ΜΑΘΗΜΑΤΙΚΑ ΟΙΚΟΝΟΜΙΚΩΝ & ΔΙΟΙΚΗΤΙΚΩΝ ΕΠΙΣΤΗΜΩΝ (Τόμος B').Λουκάκης Μ. Κωδικός Βιβλίου στον ΕΥΔΟΞΟ: 41962521. ΜΑΘΗΜΑΤΙΚΑ ΟΙΚΟΝΟΜΙΚΩΝ ΕΠΙΣΤΗΜΩΝ (τόμος Β): Λουκάκης Μανώλης. Εκδόσεις ΣΟΦΙΑ.
Additional bibliography for study
Μ. Λουκάκης, Πρόσκληση στα Μαθηματικά Οικονομικών & Διοικητικών Επιστημών, τ. Α', εκδ. Σοφία, Θεσσαλονίκη 2019. Κωδικός Βιβλίου στον ΕΥΔΟΞΟ: 86200295. Λ. Τσουλφίδης, Μαθηματικά Οικονομικής Ανάλυσης, εκδ. Gutenberg, Αθήνα 1999. Κωδικός Βιβλίου στον ΕΥΔΟΞΟ: 31750. Bergin James, Μαθηματικά για οικονομολόγους με εφαρμογές, Γ. ΔΑΡΔΑΝΟΣ - Κ. ΔΑΡΔΑΝΟΣ Ο.Ε. Κωδικός Βιβλίου στον ΕΥΔΟΞΟ: 94644205.
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