# 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
OrientationAttendance TypeSemesterYearECTS
KORMOSCompulsory Course216

 Academic Year 2019 – 2020 Class Period Spring Faculty Instructors Ioannis Kyritsis 4hrs 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
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