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Mathmatics Phd Course Outline

Below are the classes included in the Doctorate of Mathmatics Course Outline.

Year 1

Vector Calculus
Advanced Discrete Mathematics
Advanced Optimization Problems
Functions of a Complex Variable
Advanced Probability Theory
Theory of Distributions and Applications
Theory of Ordinary Differential Equations
Functions of Several Variables and
Related Topics
Theory of Numbers
Advanced Linear Algebra
Abstract Algebra
Linear Graph Theory
Mathematical Logic
Mathematical Theory of Optimal Control
Mathematical Formulation of Physical Problems

Year 2

Stochastic Integration
Stochastic Processes
Calculus of Variations
Advanced Linear Partial Differential Equations
Theory of Rings and Algebras
Advanced Algebraic Geometry
Advanced Algebraic Curves and Functions
Modern Differential Geometry
Advanced Algebraic Topology
Advanced Topics in Applied Mathematics
Advanced Topics in Analysis
Advanced Topics in Differential Equations
Advanced Topics in Geometry
Advanced Topics in Topology
Dissertation



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