Master of Science in Mathematics Active
Course Units 10
Abstract Algebra
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Applications of Abstract Algebra
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Group Actions
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Group Homomorphisms and Isomorphisms
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Introduction to Groups
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Linear Transformations and Matrices
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Polynomial Rings
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Rings and Fields
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Subgroups and Lagrange's Theorem
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Vector Spaces
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Advanced Calculus
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Applications of Derivatives
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Differential Equations
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Differentiation Techniques
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Integration Methods
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Limits and Continuity
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Multivariable Calculus
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Taylor Series and Maclaurin Series
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Vector Calculus
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Complex Analysis
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Analytic Continuation
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Applications of Complex Analysis
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Complex Functions
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Conformal Mappings
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Contour Integration
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Harmonic Functions
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Introduction to Complex Numbers
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Power Series and Laurent Series
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Residue Theory
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Special Functions
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Differential Equations
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Applications of Differential Equations
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First Order Differential Equations
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Introduction to Differential Equations
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Laplace Transform and Differential Equations
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Numerical Methods for Differential Equations
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Second Order Linear Differential Equations
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Systems of Differential Equations
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Linear Algebra
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Determinants and Inverses
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Eigenvalues and Eigenvectors
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Inner Product Spaces
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Introduction to Vectors
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Linear Transformations
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Matrix Operations
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Orthogonality
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Systems of Linear Equations
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Vector Spaces
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Numerical Methods
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Boundary Value Problems
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Eigenvalues and Eigenvectors
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Error Analysis in Numerical Methods
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Interpolation and Curve Fitting
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Introduction to Numerical Methods
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Numerical Differentiation and Integration
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Numerical Solutions of Ordinary Differential Equations
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Optimization Techniques
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Solutions of Nonlinear Equations
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Solving Systems of Linear Equations
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