# MATHEMATICS I

 Title ΜΑΘΗΜΑΤΙΚΑ I / MATHEMATICS I Code 12ΥΑ04 Faculty Economic and Political Sciences School Economics Cycle / Level 1st / Undergraduate Teaching Period Winter Coordinator Evangelos Ioannidis Common Yes Status Active Course ID 100001404

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

Registered students: 371
OrientationAttendance TypeSemesterYearECTS
KORMOSCompulsory Course116

 Academic Year 2013 – 2014 Class Period Winter Faculty Instructors Weekly Hours 4 Class ID 100023036
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)
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
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