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The University Of Georgia
Program name: Applied sciences
Study Level: Graduate
Program leader: Kakhaber Tavzarashvili
Study language: Georgian
Qualification: Master of Science (Applied Mathematics) Master of Science (Applied Electrodynamics)
Program capacity: 120
Program permission: Admission to the second cycle of academic higher education (Master’s programs) is based on the results of the Unified Master’s Examination or in accordance with Order No. 224/N of the Minister of Education and Science of Georgia (December 29, 2011), subject to successful completion of the English language examination (written) and the specialty examination (oral), completion of administrative registration, and issuance of the Rector’s order.
Program goals:

The aim of the program is to prepare competitive and highly qualified professionals in the fields of Applied Sciences (Applied Electrodynamics and Applied Mathematics) who possess in-depth theoretical knowledge and practical skills in physics, mathematics, information technology, and computer technologies.

Graduates will be capable of conducting independent research, thinking creatively, and demonstrating in-depth and systematic knowledge in their respective fields of specialization.

Graduates will be qualified for employment in educational, scientific, research, marketing, private, and public sector organizations where modern scientific thinking, knowledge of the latest developments and advances in the field, analytical thinking, scientific problem-solving skills, and the ability to plan, implement, and manage research projects are required.

Graduates will also possess the necessary research skills to pursue further studies at the doctoral level.

Methods for Attaining Learning Outcomes:
  • Visual Lectures;
  • Interactive Lectures;
  • Lectures and Seminars;
  • Practical Sessions;
  • Delivering Presentations;
  • Literature Review;
  • Problem Formulation and Solving;
  • Problem-Solving Exercises;
  • Discussion of Recent Developments;
  • Group Work;
  • Textbook-Based Learning Method;
  • Group Assignments.
Learning outcomes:
Knowledge and understanding
  • Module – Applied Electrodynamics
    Upon completion of the program, the graduate:

    • Demonstrates knowledge of the latest developments and advances in the field;
    • Possesses comprehensive knowledge of the fundamental principles of classical electrodynamics, the propagation of electric and magnetic fields in different media, and electromagnetic radiation;
    • Demonstrates knowledge of computational technologies and programming, including the C++ and Fortran programming languages, tools available in the Microsoft Visual Studio environment, and the principles of structured and object-oriented programming;
    • Demonstrates knowledge of first- and second-order differential equations, vectors, vector spaces, and vector calculus;
    • Understands and demonstrates knowledge of the fundamental parameters of antennas, the basic principles of electromagnetic wave transmission and reception, and the analysis and design of various types of antennas;
    • Identifies the fundamental problems and applications of applied electrodynamics;
    • Understands and explains the Method of Multiple Multipoles (MMM) and the Method of Auxiliary Sources (MAS);
    • Demonstrates knowledge of light propagation in waveguides, surface plasmon wave propagation, the optical properties of photonic crystals, and the optical properties of negative-index media and metamaterials;
    • Demonstrates knowledge of innovative methods for developing software prototypes, modern approaches to project planning and management in software development, and software quality management and testing methodologies.                                  Module – Applied Mathematics
      Upon completion of the program, the graduate:
    • Demonstrates knowledge of the algorithmic solvability of mathematical problems;
    • Understands and explains methods for solving extremal problems;
    • Demonstrates comprehensive knowledge of the fundamental concepts and principles of functional analysis;
    • Possesses comprehensive knowledge of innovative financial instruments and mathematical models used in the financial sector;
    • Identifies, describes, and explains the fundamental concepts of general topological spaces;
    • Demonstrates proficiency in using MATLAB tools to solve advanced mathematical problems and visualize data.

  • Skills
  • Module – Applied Electrodynamics

    Upon completion of the program, the graduate:

    • Analyzes and presents scientific papers;
      Applies electromagnetic theory to practical problems;
    • Develops programs for various scientific problems using the C++ and Fortran programming languages;
    • Effectively applies mathematical methods to various problems in physics;
    • Applies the Method of Auxiliary Sources to solve certain problems in electrodynamics;
    • Determines the characteristics of various simple antenna structures and selects the most suitable antenna type according to specified requirements;
    • Solves problems related to light propagation in free space, dielectric media, and waveguides;
    • Solves problems involving the calculation of the optical properties of surface plasmons;
    • Develops software prototypes using innovative methods and identifies and applies software quality management and testing methodologies;

    Plans and conducts research.
    Module – Applied Mathematics

    Upon completion of the program, the graduate:

    • Formalizes algorithms and investigates algorithmic systems;
    • Independently conducts analyses of financial instruments;
    • Examines mathematical problems from a unified, abstract perspective;
    • Assesses the risks associated with innovative financial instruments;
    • Develops original program code by implementing algorithms in MATLAB;
    • Constructs mathematical models for real-world extremal problems;
    • Selects effective solution methods for extremal problems arising in various fields, including economics, engineering, medicine, sociology, and others;
    • Plans and conducts research;
    • Formulates and presents subject-specific issues clearly, logically, and coherently;
    • Communicates effectively, both orally and in writing, on subject-specific topics using modern technologies;
    • Analyzes applied problems in various fields and formulates them in mathematical terms;
    • Uses modern information and communication technologies appropriately and purposefully;
    • Appropriately applies subject-specific terminology and methods when communicating with specialists and non-specialists;
    • Analyzes significant issues in the relevant field of specialization and formulates independent conclusions;
    • Conducts preliminary analyses of practical problems and consolidates the obtained results;
    • Substantiates conclusions through relevant knowledge and logical reasoning.

  • Responsibility and autonomy
  • Upon completion of the program, the graduate:

    • Recognizes and appreciates the role and significance of applied sciences in modern life and technological development.
  • Date of approval: 02-26-2016
    Approval protocol number: 07/16, 26.02.2016
    Date of program update:
    Update protocol number:
    Program details:

     
    The program offers two elective modules:

    Applied Electrodynamics
    Applied Mathematics
    Upon enrollment in the program, students select one of the modules and fulfill the requirements specified for that module.

    In the fourth semester, students complete a Master’s Thesis in their chosen field of specialization. Students are involved in research activities from the beginning of their studies.

    Courses primarily consist of lectures and seminars. Most courses in the program carry 10 ECTS credits and involve two classroom sessions per week.

    Teaching Process Characteristics:

     
    The program comprises 120 ECTS credits, distributed as follows:

    1. Applied Electrodynamics Specialization:

    Core Courses – 100 ECTS;
    Elective Courses – 20 ECTS.
    2. Applied Mathematics Specialization:

    Core Courses – 90 ECTS;
    Elective Courses – 30 ECTS.

    Module - Applied Electrodynamics. The major of the specialty

    Code Subject ECTS Semester
    INFO5113Computation and Programming10 1
    MATH5114Engineering Mathematics10 1
    PHYS5110Electromagnetic Theory10 1
    PHYS5120Antenna Theory10 2
    PHYS5121Computational Electrodynamics 110 2
    INFO5223ICT Project Management6 3
    PHYS5210Introduction to Micro- and Nanooptics10 3
    PHYS5240Seminar4 3
    PHYS5400Master Thesis30 4

    Total ECTS to be taken:

    100

    Module - Applied Electrodynamics. Choosing a specialty

    Code Subject ECTS
    MATH5116Mathhematics: Selected Topics10
    PHYS5111Basic Physics: Selected Chapters10
    EENG5110Electronics 110
    EENG5112Signals and Systems10
    EENG5111Electronics 210
    PHYS5221Computational Electrodynamics 210

    Total ECTS to be taken:

    60

    Module - Applied Mathematics. The major of the specialty

    Code Subject ECTS Semester
    MATH5117Algorithms and Analysis10 1
    MATH5118General Topology10 1
    MATH5120Mathematical and Computational Software (MATLAB)10 1
    MATH5119Functional Analysis: Selected Topics10 2
    MATH5121Mathematical Programming and Vector Optimization10 2
    MATH5122Risk Measurement for Innovative Financial Instruments10 3
    MATH5400Master Thesis30 4

    Total ECTS to be taken:

    90

    Module - Applied Mathematics. Choosing a specialty

    Code Subject ECTS
    MATH5012Mathematical and Computational Software (MATLAB)6
    MATH5013Risk Measurement for Innovative Financial Instruments6
    MATH5014Theory of Functions of Complex Variables6
    MATH5015Theory of functions of a real variable6
    STAT5005Statistics6
    MATH5116Mathhematics: Selected Topics10
    INFO5221Logical Modelling of Complex Systems6
    INFO5223ICT Project Management6
    INFO6160Operations Research in Computer Science6
    MATH51225Theory of Functions of Real Variables10
    MATH5123Statistical and Probability Methods in Research10
    INFO5250Mathematics for Computer Graphics6
    INFO6150Mathematical Modeling in Information Technology6
    MATH5114Engineering Mathematics10
    MATH5124Criptography10
    MATH5126Theory of Functions of Complex Variables10

    Total ECTS to be taken:

    120









    Matrix Of Privequisites


    Point GPA The university assessment   The general assessment in Georgia
    97-100 4,00 A+ A Excellent
    94-96 3,75 A
    91-93 3,50 A-
    87-90 3,25 B+   Very good
    84-86 3,00 B B
    81-83 2,75 B-  
    77-80 2,50 C+   C good
    74-76 2,25 C
    71-73 2,00 C-
    67-70 1,75 D+   D Satisfactory
    64-66 1,50 D
    61-63 1,25 D-
    51-60 1,00 E E Sufficient
    Not passed
    41-50   FX FX Insufficient
    ≤40   F F Failed



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