1. GENERAL
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SCHOOL |
SCHOOL OF ECONOMIC SCIENCES |
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ACADEMIC UNIT |
DEPARMENT OF ACCOUNTING AND FINANCE |
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LEVEL OF STUDIES |
Undergraduate |
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COURSE CODE |
BA102 |
SEMESTER |
1 | ||
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COURSE TITLE |
MATHEMATICS | ||||
| INDEPENDENT TEACHING ACTIVITIES |
WEEKLYTEACHING HOURS |
CREDITS | |||
| Lectures | 3 | ||||
| Hours Lab | 0 | ||||
| Hours Exercises | 0 | ||||
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Total |
3 | 6 | |||
| COURSE TYPE | Scientific Field, Compulsory | ||||
| PREREQUISITE COURSES | No | ||||
| LANGUAGE OF INSTRUCTION and EXAMINATIONS | Greek | ||||
| IS THE COURSE OFFERED TO ERASMUS STUDENTS | Yes(upon request) | ||||
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COURSE WEBSITE (URL) |
https://
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2. LEARNING OUTCOMES
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Learning outcomes |
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After successful completion of the course, students are expected to be able to: 1. Calculate limits and examine the continuity of functions. 2. Know how tocalculatethe derivative for varioustypesof functions. 3. Know the basic principles of Calculus and to recognize and use basic theorems of Calculus (Bolzano theorem, mean value theorem, Rolle theorem, rules De L΄ Hospital. 4. Find the monotonicity and the extrema of functions. 5. Examine the convexity of functions and find the asymptotes. 6. Have a basic knowledge of integral calculus. And know the rules of integration. 7. Calculate definite integrals. 8. Know the basic principles of the theory of linear algebra and various forms of matrices and vectors. 9. Perform operations with vectors and matrices, calculate the determinant and the inverse matrix. 10. Solve an n x n system of linear equations. |
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General Competences |
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• Decision-making • Autonomous work • Group work |
3. SYLLABUS
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The course focuses on the fundamental issues of differential and integral calculus of functions of one variable, as well as on the fundamental issues of linear algebra. Topics include a brief review of real functions, followed by a discussion on limits, derivatives and their applications. Monotonicity and exrema of functions are presented next, followed by convexity, turning points and asymptotes. An introduction to integration, indefinite and definite integrals is next. Finally, in the linear algebra section, vectors and matrices are presented, operations of vectors and matrices, derivatives, the inverse matrix and the solution of nXn linear equation systems. The course content includes: • Introductions to real functions, types of functions, graphs of functions • Limits of functions,side limits • Continuity, discontinuity of functions • Derivatives and theirs applications • Monotonicity and functions’ extrema • Convexity, turning points, asymptotes • Indefinite and definite integrals, rules of integration, applications • Vectors and vector operations • Matrices and matrix algebra, transpose matrix, quadratic matrices, diagonal matrices, symmetric matrices, operations of vectors and matrices • Determinants, calculating the determinant with the Laplace expansion • The inverse matrix • Systems of linear equations |
4. TEACHING and LEARNING METHODS - EVALUATION
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DELIVERY |
Face to face | ||||||||||||||||||||||||
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USE OF INFORMATION AND COMMUNICATIONS TECHNOLOGY |
Use of the electronic platform e-class. During office hours Presentations are made using Power Point. There is also the possibility of electronic communication via e-mail to the teacher. Providing electronic teaching presentations to Students, via e-class. |
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| TEACHING METHODS |
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STUDENT PERFORMANCE EVALUATION |
• Mid-term Exam 30% • Final Exam(multiple choice, short-answer questions, problem solving) 70% |
5. SUGGESTED BIBLIOGRAPHY
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Recommended Book Resources: • Κοντέος Γιώργος και Νίκος Σαριαννίδης (2018). Μαθηματικά, εκδόσεις Αλέξανδρος ΙΚΕ, Κοζάνη. [ISBN: 9786188277885] • ChiangA. (1997). Μαθηματικές Μέθοδοι Οικονομικής Ανάλυσης. Κριτική, Αθήνα. [ISBN:960-218-141-9] • Δημητρακούδης, Θεοδώρου, Κικίλιας, Κουρής, Παλαμούρδας, 2002, Διαφορικός-Ολοκληρωτικός λογισμός, Εκδ. Δηρός, Αθήνα. • Τσουλφίδης Λ. (1999). Μαθηματικά οικονομικής ανάλυσης: μέθοδοι και υποδείγματα. Gutenberg, Αθήνα. [ISBN: 978-960-01-0723-8] • Κορκοτσίδης, Α.Σ. (1994). Μαθηματικά Οικονομικής ανάλυσης, Τόμοι Α&Β. Παπαζήση, Αθήνα. [ISBN: 978-960-02-1005-7] • K. Sydsæter, P. Hammond (2008) Essential mathematics for economic analysis. Pearson Education. [ISBN-10:0273713248] |
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-Related academic journals: |