MATHEMATICS II
| Title | ΜΑΘΗΜΑΤΙΚΑ II / MATHEMATICS II |
| Code | 12ΥΒ04 |
| Faculty | Social and Economic Sciences |
| School | Economics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Spring |
| Coordinator | Evangelos Ioannidis |
| Common | Yes |
| Status | Active |
| Course ID | 100001410 |
Programme of Study: UPS School of Economics (2013-today)
Registered students: 937
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| CORE | Compulsory Course | 2 | 1 | 6 |
| Academic Year | 2019 – 2020 |
| Class Period | Spring |
| Faculty Instructors |
|
| Instructors from Other Categories | |
| Weekly Hours | 4 |
| Class ID | 600147358
|
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
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600147358
- eLearning (Moodle): https://elearning.auth.gr/course/view.php?id=5376
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 (Linear equations, Matrix, Dynamic economics) 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 Dynamic Economic Problems using the above mathematical tools successfully.
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
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 | 166 | 5.9 | ✓ | ||
| 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)
ΜΑΘΗΜΑΤΙΚΑ ΟΙΚΟΝΟΜΙΚΩΝ ΕΠΙΣΤΗΜΩΝ, Hoy Michael, Livernois John, McKenna Chris, Stengos Thanasis. Επιμέλεια Κυρίτσης Ιωάννης Εκδόσεις Gutenberg.
ΠΡΟΣΚΛΗΣΗ ΣΤΑ ΜΑΘΗΜΑΤΙΚΑ ΟΙΚΟΝΟΜΙΚΩΝ & ΔΙΟΙΚΗΤΙΚΩΝ ΕΠΙΣΤΗΜΩΝ (Τόμος B').Λουκάκης Μαν
ΜΑΘΗΜΑΤΙΚΑ ΟΙΚΟΝΟΜΙΚΩΝ ΕΠΙΣΤΗΜΩΝ (τόμος Β): Λουκάκης Μανώλης. Εκδόσεις ΣΟΦΙΑ.
Last Update
16-11-2020
