MATHEMATICS I
| Title | ΜΑΘΗΜΑΤΙΚΑ I / MATHEMATICS I |
| Code | 12ΥΑ04 |
| Faculty | Social and Economic Sciences |
| School | Economics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Winter |
| Coordinator | Evangelia Desli |
| Common | Yes |
| Status | Active |
| Course ID | 100001404 |
Programme of Study: UPS School of Economics (2013-today)
Registered students: 688
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| CORE | Compulsory Course | 1 | 1 | 6 |
| Academic Year | 2021 – 2022 |
| Class Period | Winter |
| Faculty Instructors | |
| Instructors from Other Categories | |
| Weekly Hours | 4 |
| Class ID | 600190724
|
Course Type 2021
General Foundation
Course Type 2016-2020
- Background
- General Knowledge
Course Type 2011-2015
General Foundation
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600190724
- eLearning: https://elearning.auth.gr/course/view.php?id=2133
Language of Instruction
- Greek (Instruction, Examination)
Learning Outcomes
After the successful completion of the course, students will be able to know the required basic Mathematical Tools (Univariate Differential Calculus, Linear Algebra, Multivariate Differential Calculus) in order to be able to effectively continue their studies in Economics. More specifically, they will be able to solve Mathematics exercises using the above tools, as well as to model and solve Economic Problems using the above mathematical tools successfully.
General Competences
- Apply knowledge in practice
- Make decisions
- Work autonomously
Course Content (Syllabus)
MATHEMATICS I
I. UNIVARIATE CALCULUS
The derivate and differential for functions of one variable.
Higher order derivatives.
Exponential and logarithmic functions. Cobb-Douglas functions.
Marginal Revenue Product. The elasticity concept.
Necessary conditions for unconstrained maxima and minima.
Second-order conditions.
Definition of a tangent line.
Taylor Series Formula.
II. LINEAR ALGEBRA.
Matrices. Determinants.
Solving systems of linear equations. (Cramer’s rule).
III. MULTIVARIATE CALCULUS
Functions of n-variables.
Partial differentiation.
More properties of functions with economic application.
Partial elasticity.
Second-order (and higher order) partial derivatives.
Chain rule.
Implicit differentiation.
Hessian matrix. Total differential.
Quadratic forms. Definiteness of quadratic form.
Optimization of functions of n-variables. First and second-order conditions.
Constrained optimization.
Comparative Statics.
Keywords
Univariate Calculus, Multivariate Calculus, Linear Algebra.
Educational Material Types
- Notes
- Slide presentations
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Communication with Students
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 136 | 4.9 | ✓ | ||
| Laboratory Work | 30 | 1.1 | ✓ | ||
| Tutorial | |||||
| Exams | 2 | 0.1 | ✓ | ||
| Total | 168 | 6 |
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)
ΠΡΟΣΚΛΗΣΗ ΣΤΑ ΜΑΘΗΜΑΤΙΚΑ ΟΙΚΟΝΟΜΙΚΩΝ & ΔΙΟΙΚΗΤΙΚΩΝ ΕΠΙΣΤΗΜΩΝ (Τόμος Α').Λουκάκης Μαν
ΜΑΘΗΜΑΤΙΚΑ ΟΙΚΟΝΟΜΙΚΗΣ ΑΝΑΛΥΣΗΣ. Τσουλφίδης Λευτέρης
Additional bibliography for study
MATHEMATICS for ECOMOMICS. Hoy Michael, Livernois John, McKenna Chris, Stengos Thanasis (επιμ.Κυρίτσης Ιωάννης).
Μαθηματικά για Οικονομολόγους με Εφαρμογές. James Bergin. Επιμ.: Λουκάς Ζαχείλας, Γιάννης Κυρίτσης, Ιωάννης Λεβεντίδης, Άγγελος Μιμής, Νικόλαος Μιχελακάκης, Ανδριανός Τσεκρέκος, Σοφία Βασιλογιαννακοπούλου. Εκδόσεις: Gutenberg
Last Update
24-02-2022
