| 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: 853
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| CORE | Compulsory Course | 1 | 1 | 6 |
| Academic Year | 2017 – 2018 |
| Class Period | Winter |
| Faculty Instructors |
|
| Weekly Hours | 4 |
| Class ID | 600098426
|
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 | Εργαστήριο Πληροφορικής (342) |
| Calendar | Τετάρτη 09:00 έως 12:00 |
| Building | Αμφιθέατρο ΝΟΕ |
| Floor | Όροφος 1 |
| Hall | Εργαστήριο Πληροφορικής (342) |
| Calendar | Πέμπτη 09:00 έως 10:00 |
| Building | Αμφιθέατρο ΝΟΕ |
| Floor | Όροφος 1 |
| Hall | ΜΕΓΑΛΟ ΑΜΦΙΘΕΑΤΡΟ (A) (158) |
| Calendar | Παρασκευή 12:00 έως 14:00 |
| Building | Αμφιθέατρο ΝΟΕ |
| Floor | Όροφος 1 |
| Hall | Εργαστήριο Πληροφορικής (342) |
| Calendar | Παρασκευή 09:00 έως 12:00 |
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/1/600098426
Language of Instruction
- Greek (Instruction, Examination)
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.
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).
Last Update
07-02-2018