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Mathematics I

Mathematics I

 

Course outline

 

General Information:

 

School: Economics & Social Sciences

Department: Business Administration

Level of Studies: Undergraduate

Course code: 103

Semester: A

Course title: Mathematics I

ECTS: 5

Weekly teaching hours: 4

Type of course: mandatory/general background

Prerequisite courses: No

Language of instruction and exams: Greek

The course is offered to Erasmus students: No

Course URL: —

 

 

General Skills:

-     Search, analysis and synthesis of data and information, using the necessary technologies

-     Adaptation to new situations

-     Decision making

-     Autonomous work

-     Teamwork

-     Work in an international environment

-     Work in an interdisciplinary environment

-     Generating new research ideas

-     Project planning and management

-     Respect for diversity and multiculturalism

-     Respect for the natural environment

-     Demonstration of social, professional and ethical responsibility and sensitivity to gender issues

-     Development of criticism and self-criticism

-     Promotion of free, creative and inductive thinking

-     Other skills

 

Moreover, the course aims to develop the following general skills:

 

-     Critical ability and self-criticism

-     Ability to cooperate

-     Interpersonal skills

-     Search data using the necessary technologies

 

Course Content:

The course includes: elements of mathematical logic and set theory, the mathematics of finance, basic Linear Algebra (equation of a line in R2), Tables (Adding tables, Multiplying numbers by table, Sorting table, Linear operations), Linear systems (Solving systems with the address ). Gauss and Gauss-Jordan), Matrix Multiplication, Matrix Inverse, Matrix Determinant and Cramer's method of solving systems. Exercises and applications in Linear Models of Management and Economics (Static Analysis: the concept of equilibrium, Market equilibrium, Market equilibrium using a non-linear model, General equilibrium, 2-product market model, Leontief's input-output models), Relations and functions: Types of functions in one variable, derivation theory, mean value theorems and Taylor expansions and series. (Comparative Static Analysis: Introduction to Rate of Change, Derivative of Functions of One Variable, Rules of Derivation, Extrema of Functions, Optimization: A Special Case of Equilibrium Analysis, Relative Maxima & Minima of Functions of One Variable, First Derivative Criterion, Second (and Greater) Derivatives, Second Criterion derivative, Applications to economic problems.

 

 

 

Teaching & Learning Methods - Evaluation

-     Method of delivery: face-to-face

-     Use of information and communication technologies: Use of information and communication technologies in teaching, laboratory education, communication with students. Electronic communication with students, learning-process support through the “e-class” online platform.

 

 

Activities & Semester Workload

Lectures: 13

Laboratory practice: 26

Study of references: 40

Submission of assignments: 40

Exam preparation: 40

Final exams: 2

Total: 161

 

 

Evaluation of students:

 

Written final exam (100%)