The University Of Georgia
| Program name: | Pure and Applied Mathematics (60+60) |
| Study Level: | Graduate |
| Program leader: | George Tephnadze |
| Study language: | Georgian |
| Qualification: | Part I - Master of Mathematics ; - Part II- Master of Research in Mathematics |
| Program capacity - I ნაწილი: | 60 |
| პროგრამის მოცულობა II ნაწილი: | 60 |
| Program permission: | |
| Program goals: | |
| Methods for Attaining Learning Outcomes: | |
| Learning outcomes: | |
| Date of approval: | 01-01-1900 |
| Approval protocol number: | |
| Date of program update: | |
| Update protocol number: | |
| Program details: | |
| Teaching Process Characteristics: |
Patt I - Program Core
| Code | Subject | ECTS | Semester |
| MATH5001 | Abstract Algebra | 6 | 1 |
| MATH5006 | Software Packages in Mathematics (MATLAB) | 6 | 1 |
| MATH5030 | Theory of Functions of a Real Variable | 6 | 1 |
| MATH5007 | Mathematical statistics | 6 | 2 |
| MATH5005 | Numerical Methods | 6 | 2 |
| MATH5002 | Operator Theory and Operator Algebras | 6 | 2 |
| MATH5032 | Theory of functions of complex variables | 6 | 2 |
| Total ECTS to be taken: | 42 | ||
Patt I - Program Elective
| Code | Subject | ECTS | Semester |
| MATH1102 | 6 | ||
| MATH5029 | Algorithms and analysis | 6 | |
| INFO6270 | Artificial Intelligence Based Machine Learning Algorithms | 6 | |
| MATH5022 | Basics of Wavelet analysis | 6 | |
| INFO6263 | Big Data System | 6 | |
| MATH5027 | Cryptography | 6 | |
| INFO5112 | Database Design and Management | 6 | |
| INFO6271 | Database Systems | 6 | |
| MATH5031 | Financial Mathematics | 6 | |
| INFO5120 | Geoinformation Systems | 6 | |
| MATH5017 | Martingales and Their Applications to Mathematical Analysis | 6 | |
| INFO7854 | Python | 6 | |
| INFO7855 | R (Statistical Computing) | 6 | |
| MATH5028 | Risk assessment methods for innovative financial instruments | 6 | |
| MATH5009 | Selected Chapters in Mathematics | 6 | |
| INFO6340 | Structural analysis of systems | 6 | |
| Total ECTS to be taken: | 96 | ||
Part II - Program Core
| Code | Subject | ECTS | Semester |
| MATH5004 | General and Algebraic Topology | 6 | 3 |
| MATH5010 | Harmonic Analysis | 6 | 3 |
| MATH5003 | Partial Differential Equations | 6 | 3 |
| MATH5400 | Master Thesis | 30 | 4 |
| Total ECTS to be taken: | 48 | ||
Part II - Program Elective
| Code | Subject | ECTS | Semester |
| MATH5026 | 6 | ||
| MATH5021 | Fourier Analysis | 6 | |
| MATH5019 | Fundamentals of the general theory of measure and integral | 6 | |
| MATH5024 | Homological Algebra | 6 | |
| MATH5018 | Integral equations | 6 | |
| MATH5016 | Lie Groups and Lie Algebras | 6 | |
| MATH5020 | Nonlinear Partial Derivative Equations | 6 | |
| Total ECTS to be taken: | 42 | ||
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 | |