MATHEMATICS I

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

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

Registered students: 371
OrientationAttendance TypeSemesterYearECTS
KORMOSCompulsory Course116

Class Information
Academic Year2013 – 2014
Class PeriodWinter
Faculty Instructors
Weekly Hours4
Class ID
100023036
Type of the Course
  • Background
  • General Knowledge
Course Category
General Foundation
Mode of Delivery
  • Face to face
Digital Course Content
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
ActivitiesWorkloadECTSIndividualTeamworkErasmus
Lectures521.9
Tutorial80.3
Total602.1
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 ΜΑΘΗΜΑΤΙΚΕΣ ΜΕΘΟΔΟΙ ΣΤΑ ΟΙΚΟΝΟΜΙΚΑ . Ξεπαπαδέας Αναστάσιος & Γιαννίκος Ιωάννης
Additional bibliography for study
MATHEMATICS for ECOMOMICS. Hoy Michael, Livernois John, McKenna Chris, Stengos Thanasis (επιμ.Κυρίτσης Ιωάννης).
Last Update
19-09-2013