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.
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.
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.
- 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.
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.
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.
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
Το μάθημα «Εισαγωγή στην Οικονομική Θεωρία» εισάγει τον φοιτητή στις βασικές έννοιες και θεωρητικές αρχές της οικονομικής επιστήμης, εφοδιάζοντάς τον με εργαλεία, τεχνικές και αναλυτικό τρόπο σκέψης, απαραίτητο για τη μελέτη των οικονομικών φαινομένων και την επίλυση οικονομικών προβλημάτων. Το μάθημα χωρίζεται σε δύο ευρείες θεματικές ενότητες: (α) εισαγωγή στη μικροοικονομική και (β) εισαγωγή στη μακροοικονομική. Στο πλαίσιο της πρώτης ενότητας εξετάζονται βασικά θέματα μικροοικονομικής ανάλυσης, όπως η ζήτηση και η προσφορά αγαθών, η ελαστικότητα ζήτησης και προσφοράς, η παραγωγή και το κόστος παραγωγής, οι μορφές αγοράς, οι αποτυχίες και οι ατέλειες της αγοράς. Αντίστοιχα, η δεύτερη ενότητα καλύπτει βασικά θέματα μακροοικονομικής ανάλυσης, όπως η μέτρηση της εθνικής ευημερίας και του κόστους ζωής, η παραγωγικότητα και η οικονομική μεγέθυνση, το χρηματοοικονομικό και το νομισματικό σύστημα, ο πληθωρισμός, η ανεργία και οι οικονομικοί κύκλοι.
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
The course material includes the following thematic areas
- 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
- Research methodologies