TEACHING HOURS

(WEEKLY)

Lectures

Tutorial

2

1

After successful completion of the course, students are expected to have:

Knowledge: To understand and describe course concepts such as: Real Functions of one and many variables, limits, derivative, integrals, linear algebra, matrices, linear systems

Skills: To select and apply appropriate mathematical techniques for calculating limits, derivatives, integrals, for studying functions, calculating extremes and inflection points, plotting functions and solving linear systems.

Abilities: To propose mathematical tools and techniques for dealing with problems related to Economics and Business Administration. To analyze, synthesize and formulate evaluative judgments in problems related to Business Administration.

The course aims to:

- Promotion of free, creative, and inductive thinking

− Decision making

- Independent work

The course focuses on learning the mathematical "tools" necessary to solve problems of economic and administrative applications. At the same time, through their applications, mathematical concepts that seem "abstract" at first glance are understood, while basic elements of mathematical theory and corresponding applications with their solutions covering different areas of business administration are given.

The course is developed in the following sections:

1. Linear systems

2. Tables - Algebra of tables. Determinants

3. Introduction, sets of numbers, functions of a real variable.

4. Limits and continuity of functions

5. First and second derivative of functions of one variable

6. Derivatives of special functions.

7. Local extremes, turning points.

8. Asymptotic lines. Calculation of vertical and horizontal-lateral asymptotes

9. The exponential and logarithmic function.

10. Functions of several variables.

11. Partial derivatives of a function.

12. Definite integral of real functions

13. Indefinite integral of real functions

- Face-to-face lectures

- Face to face - Solving tutorial exercises

- Post material for further study and solving exercises on the e-class platform

The evaluation will be conducted in the Greek language in three distinct ways:

- Written final exam that includes:

-Multiple choice questions

- Comparative evaluation of theory elements

-Problem solving

1. Briggs William, Cochran Lyle, Gillett Bernard, "INFINITE CALCULUS", ISBN 978-960-586-234-3, Critique Publications.

2. [George B. Thomas], Jr., Joel Hass, Christopher Heil, Maurice D. Weir, “INFINITE CALCULUS VOLUME (translation of the 14th American edition)”, Edition: 2018, ISBN: 978-960-524-515- 3, Publisher: TECHNOLOGY & RESEARCH INSTITUTE- UNIVERSITY PUBLICATIONS OF CRETE.

3. PETRAKIS L. ANDREAS, PETRAKIS A. DOROTHEA, PETRAKIS A. LEONIDAS, "MATHEMATICS I", ISBN: 978-618-83244-0-4, THALI PUBLICATIONS.

4. Edwards C. Henry, Penney E. David (Ed. Matzakos N.) "MATHEMATICS I", Edition: 1st/2014, Authors:, ISBN: 978-960-508-158-4, Publisher: MARIA PARIKOU & SIA Ltd.

5. Moschidis Odysseas, Mathematics of Administrative and Economic Sciences, ISBN: 978-960-9465-39-7, Athanassiou Altintzis Publications 2018.

6. Pemberton Malcolm, Rau Nicholas, Mathematical Methods of Economics and Management Sciences, ISBN: 9789925563074, BROKEN HILL PUBLISHERS LTD 2018.

7. Chiang A. , Wainwright K. Mathematical Methods of Economic Analysis, ISBN 978-960-218-733-3, Ed. Review 2009

8. Jacques Ian, Mathematics of Economics and Management, ISBN: 9789963274338, BROKEN HILL PUBLISHERS LTD 2017.

9. Renshaw Geoff, Mathematical Analysis for Economics and Management, ISBN: 9789925563517, BROKEN HILL PUBLISHERS LTD, 2019

10. Teresa Bradley, Mathematics, For finance and administration (2nd ed.), ISBN: 978-960-586-084-4, KRITIKI PUBLICATIONS SA 2015.

11. Maria Mavri, ECONOMIC MATHEMATICS, ISBN: 978-618-5036-02-7, "PROPOMPOS Publications" KIMERIS K. THOMAS 2013.

12. Xepapadeas An., Giannikos Ioannis. Mathematical Methods in Economics, ISBN: 978-960-01-1440-9, Ed. Dardanos, 2011.