#### Mathematics ΙΙ

The goal of the course is to teach students advanced topics in mathematics for Business & Economics. The course is designed to provide both intuition and deep understanding of concepts in Linear Algebra, Calculus of multiple variable functions Implicit functions, Differential Equations, Difference Equations and Constrained Optimization Methods for multiple variable functions. The first semester mathematics on Differential and Integral Calculus is a prerequisite. The course helps students familiarize real life applications that illustrate the use of mathematical concepts in business economics and technology as well as in decision sciences. During the course, students are encouraged to computer usage via modern computational platforms such as MATHEMATICA, MATLAB, and EXCEL. Specific tutorials for the Mathematica are offered during the course.

**Course contents**

Vectors, Matrices and Linear Systems, Dimension, Rank and Linear Transformations, The Vector Space Rn, Determinants, Eigenvalues and Eigenvectors, Orthogonality, Change Basis, Solving Large Linear Systems, Implicit Functions, the Implicit Function Theorem, Introduction to Differential Equations, Modeling with Differential Equations, First Order Differential Equations, Higher Order Differential Equations, Solutions of Second Order Linear Homogeneous Differential Equations with Constant Coefficients, Solutions of Second Order Linear Nonhomogeneous Differential Equations with Constant Coefficients, Applications of Higher Order Differential Equations. Difference Equations, Calculus of Functions with Multiple Variables, Partial Derivatives, Differentiability, Extreme Values of Functions, Optimization Functions Constrained Optimization, the Method of Lagrange Multipliers.

#### Quantitative Methods in Economics and Business (I)

The objectives of this course is to introduce the students to the fundamental concepts of probability, as applied to modeling business, economics and information technology issues, including a gentle introduction to simulation. The course will serve as an introduction to concepts that will further be elaborated in more specialized courses such as stochastic models, simulation of processes, finance and econometrics etc.

**Course contents**

- Discrete probability, discrete random variables, distributions, moments. Examples and applications in fundamental discrete distributions (Bernoulli, Poisson, Geometric etc)
- Continuous probability, continuous random variables, distribution, density, moments. Examples and application of fundamental continuous random variables (uniform, exponential, normal etc)
- Basis concepts of simulation of discrete and continuous random variables, calculation of moments, Monte-Carlo method. Applications in models of economics and management.
- Introduction to asymptotic theory, central limit theorem and applications.

#### Programming I

The course introduces students to the fundamental concepts of programming using the Java programming language. At the first part of the course, students are familiarized with the basics of programming (development of algorithms, Object-oriented design) applied through Java programming. At the second part of the course, the most significant aspects of the Java language are analyzed (classes, methods, variables, tables, control statements, inheritance) in order to provide students the ability to develop their own Java programs. The expected learning outcome is to enable students to design object-oriented programs and develop programming skills using the Java language through a number of lab exercises and personal assignments. The scalable learning method employed (from small program segments to larger – real life – programs) is expected to exercise students in the analytical programming thinking and provide them with the necessary knowledge to build their own programs in a systematic way.

**Course contents**

Fundamental elements of programming languages, Object-Oriented modeling, the Java programming language, variables, input and output, comparison operators, logic operators, conditional operators, programming with objects, classes and methods, arrays, exceptions, inheritance.

#### Accounting II

The lesson is the continuation of the Accounting I course. It highlights the importance of analyzing accounting information and the role played by such information, as reflected in the accounting and financial statements, for making business decisions. Proper analysis and interpretation of accounting statements is an important tool for external and internal users to make rational future economic decisions.

The purpose of the course "Accounting ΙΙ" is for the student to understand the usefulness of financial statements analysis and the importance of the proper processing of the multitude and variety of financial information and data so that optimal decisions can be made. Particular importance is given to students being able to interpret the qualitative characteristics of the quantitative data they derive from the accounting statements so that they can be used for future decisions.

Upon completion of the course the student will be able to:

- Understand the results of the financial statements
- Distinguish problems that arise through the study of accounting statements
- Make proposals for administrative and strategic choices
- Develop analytical and critical thinking skills in administration and management

#### Introduction to Economic Theory

Students are introduced to the basic concepts and tools of microeconomic and macroeconomic analysis. 40% of the curriculum refers to microeconomics and 60% to macroeconomic analysis.

Specifically, in **microeconomic analysis**, the following topics will be covered:

- Basic economic concepts. Demand and supply of goods. The market system and the formation of prices. Elasticity of demand and supply.
- Consumer choices and the theory of demand for goods. Producer choices and bid decisions.
- Theory of production, cost and supply of goods in the short and long term. Forms of market and social well-being. Perfect competition, monopoly, oligopoly and monopoly competition.
- Competition, coordination and balance. The market mechanism and the logic of regulatory intervention by the state. Market imperfections and failures.

In **macroeconomic analysis** the following thematic sections are covered:

- The revenue stream and the system of national accounts categories. Product and total demand. Determination of income and total employment.
- Fiscal policy and multipliers.
- Money, banks and monetary policy.
- Inflation, unemployment and economic fluctuations.
- International trade, international economy and economic policy. Exchange rates, balance of payments and competitiveness. Economic development and growth.
- Stabilization policy (fiscal and monetary). Total supply, total demand and the concept of macroeconomic equilibrium. Determination of prices and wages and adaptation to short-term disorders (IS-LM model) and long-term (MDS-AS model).
- Economic dimensions of European integration. The Single Market. Economic and Monetary Union. European Central Bank, monetary policy framework. The effectiveness of monetary and fiscal policy in a single currency area.
- Financial crisis in Greece and the Eurozone. Balance of government budget, primary result and sustainability of public debt.

#### Contemporary Issues & Trends in Management and Technology

The course has a double aim: 1) to introduce basic concepts related to business functions and familiarize students with contemporary issues and trends on management and technology and 2) to familiarize students with the methodologies of research projects

Course contents

The course material includes the following thematic areas

- Enterprise

– Entrepreneur

– Entrepreneurship

- Innovation

- New product development

- Marketing – digital marketing

- Informatics and information systems

- Introduction to e-commerce

- Operations management

- Supply chain management

- Management of human resources

- Flexible employment

- International business

- Enterprise and the natural environment

- Competitiveness

- Research methodologies