Course Contents
MAT5040 Fundamentals of Geometry
MAT5050 Fundamentals of Applied Mathematics
MAT5070 Hilbert Space and Its Properties
MAT5080 Sobolev Spaces and Their Properties
MAT5090 Theory of Multivariable Functions
MAT5100 Advanced Functional Analysis
MAT5120 Sequence Spaces and Series
MAT5140 Spectral Theory of Differential Operators
MAT5150 Time Scale Analysis and Dynamic Systems
MAT5180 Advanced Complex Analysis
MAT5190 Measure and Integration
MAT5210 Meromorphic Functions and Some Applications
MAT5220 Matrix Transformations and Divergent Series
MAT5260 Transformations in High-Dimensional Spaces
MAT5270 Curves in Lorentz Space
MAT5280 Surfaces in Lorentz Space
MAT5290 Theory of Dual Numbers
MAT5320 Theoretical Kinematics
MAT5340 Semi-Riemannian Geometry
MAT5350 Isometries and Groups in Semi-Riemannian Geometry
MAT5360 Tensors and Vector Analysis
MAT5380 Affine Geometric Structures
MAT5390 Integration and Differential Geometry
MAT5400 Advanced Differential Geometry
MAT5410 Technology-Assisted Geometric Design
MAT5420 Advanced Ordinary Differential Equations and Applications
MAT5430 Advanced Partial Differential Equations
MAT5450 Advanced Nonlinear Differential Equations
MAT5460 Advanced Numerical Analysis and Applications
MAT5470 Eigenvalue Problems and Green's Functions
MAT5480 Numerical Solutions of Ordinary Differential Equations
MAT5490 Numerical Solutions of Partial Differential Equations
MAT5500 Initial and Boundary Value Problems
MAT5510 Advanced Engineering Mathematics
MAT5520 Theory of Difference Equations
MAT5530 Finite Difference Method and Stability Analysis
MAT5540 Spectral Theory of the Sturm-Liouville Operator
MAT5550 Analytical Solutions of Nonlinear Partial Differential Equations
MAT5560 Applications of Nonlinear Partial Differential Equations
MAT5570 Fractional Differential Equations
MAT5580 Applications of Fractional Differential Equations
MAT5590 Spectral Theory of the Hill Equation
MAT5600 Laplace Transform and Applications
MAT5610 Mathematical Statistics
MAT5650 Theory of Rings and Modules
MAT5660 Foundations of Mathematics
MAT5670 Applied Linear Algebra
MAT5680 q-Analysis and Applications
MAT5700 Banach Spaces and Their Geometric Properties
MAT5730 Topological Groups and Their Properties
MAT5780 Applied Functional Analysis
MAT5790 Inverse Problems of Spectral Analysis
MAT5800 Set and Function Theory
MAT5820 Applied Curve Theory in Differential Geometry
MAT5830 Applied Surface Theory in Differential Geometry
MAT5840 Tensor Analysis and Theory of Relativity
MAT5890 Space Kinematics and Lie Groups
MAT5950 Geometry of Lightlike Manifolds
MAT5970 Fuzzy Differential Equations
MAT5980 Soliton Theory and Applications
MAT5990 Mathematical Foundations of Artificial Neural Networks
MAT6000 Mathematical Foundations of Artificial Intelligence
MAT6010 Mathematical Programming and Modeling
MAT6020 High-Performance Mathematical Computing in Technology
MAT6030 Mathematical Computation Methods
MAT6050 Approximation Theory of Functions
MAT6060 Mathematical Optimization
MAT6070 Dynamical Systems and Stability Theory
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