# MATHEMATICS II

 Title ΜΑΘΗΜΑΤΙΚΑ II / MATHEMATICS II Code 12ΥΒ04 Faculty Economic and Political Sciences School Economics Cycle / Level 1st / Undergraduate Teaching Period Spring Coordinator Alexandra Gkoulgkoutsika Common Yes Status Active Course ID 100001410

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

Registered students: 786
OrientationAttendance TypeSemesterYearECTS
KORMOSCompulsory Course216

 Academic Year 2020 – 2021 Class Period Spring Instructors from Other Categories Weekly Hours 4 Class ID 600178391

### Class Schedule

 Building Αμφιθέατρο ΝΟΕ Floor Όροφος 1 Hall ΜΕΓΑΛΟ ΑΜΦΙΘΕΑΤΡΟ (A) (158) Calendar Δευτέρα 12:00 έως 14:00 Building Αμφιθέατρο ΝΟΕ Floor Όροφος 1 Hall ΜΕΓΑΛΟ ΑΜΦΙΘΕΑΤΡΟ (A) (158) Calendar Πέμπτη 14:00 έως 16:00
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.
Keywords
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
Lectures1665.9
Exams20.1
Total1686
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)
Bibliography
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.