# MATHEMATICS I

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

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

Registered students: 1024
OrientationAttendance TypeSemesterYearECTS
KORMOSCompulsory Course116

 Academic Year 2019 – 2020 Class Period Winter Faculty Instructors Ioannis Kyritsis 4hrs Instructors from Other Categories Weekly Hours 4 Class ID 600147202

### Class Schedule

 Building Αμφιθέατρο ΝΟΕ Floor Όροφος 1 Hall ΜΕΓΑΛΟ ΑΜΦΙΘΕΑΤΡΟ (A) (158) Calendar Παρασκευή 12:00 έως 14:00 Building Αμφιθέατρο ΝΟΕ Floor Όροφος 1 Hall ΜΕΓΑΛΟ ΑΜΦΙΘΕΑΤΡΟ (A) (158) Calendar Δευτέρα 12:00 έως 14:00
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
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