MATHEMATICS I

Course Information
TitleΜΑΘΗΜΑΤΙΚΑ I / MATHEMATICS I
Code12ΥΑ04
FacultyEconomic and Political Sciences
SchoolEconomics
Cycle / Level1st / Undergraduate
Teaching PeriodWinter
CoordinatorEvangelos Ioannidis
CommonYes
StatusActive
Course ID100001404

Programme of Study: UPS School of Economics (2013-today)

Registered students: 1024
OrientationAttendance TypeSemesterYearECTS
KORMOSCompulsory Course116

Class Information
Academic Year2019 – 2020
Class PeriodWinter
Faculty Instructors
Instructors from Other Categories
Weekly Hours4
Class ID
600147202
Course Type 2016-2020
  • Background
  • General Knowledge
Course Type 2011-2015
General Foundation
Mode of Delivery
  • Face to face
Digital Course Content
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.
Use of Information and Communication Technologies
Use of ICT
  • Use of ICT in Communication with Students
Course Organization
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures1364.9
Laboratory Work301.1
Tutorial
Exams20.1
Total1686
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
16-11-2020