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Master of Science in Mathematics

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Course Outline

10 sections
1. Probability Theory
90 mins
9 topics
Introduction to Probability Theory Probability Distributions Bayes' Theorem Conditional Probability Combinatorics and Probability
2. Linear Algebra
90 mins
9 topics
Introduction to Vectors Vector Spaces Matrix Operations Determinants and Inverses Systems of Linear Equations
3. Differential Equations
70 mins
7 topics
Introduction to Differential Equations First Order Differential Equations Second Order Linear Differential Equations Laplace Transform and Differential Equations Systems of Differential Equations
4. Real Analysis
80 mins
8 topics
Introduction to Real Analysis Sequences and Series Continuity and Differentiability The Riemann Integral Sequences of Functions
5. Abstract Algebra
90 mins
9 topics
Introduction to Groups Subgroups and Lagrange's Theorem Group Homomorphisms and Isomorphisms Rings and Fields Polynomial Rings
6. Topology
90 mins
9 topics
Introduction to Topology Topological Properties Continuity and Homeomorphisms Topological Constructions Metric Spaces and Topology
7. Numerical Methods
100 mins
10 topics
Introduction to Numerical Methods Error Analysis in Numerical Methods Solutions of Nonlinear Equations Interpolation and Curve Fitting Numerical Differentiation and Integration
8. Complex Analysis
100 mins
10 topics
Introduction to Complex Numbers Complex Functions Contour Integration Residue Theory Conformal Mappings
9. Statistics
90 mins
9 topics
Introduction to Statistics Descriptive Statistics Probability Inferential Statistics Correlation and Regression Analysis
10. Advanced Calculus
80 mins
8 topics
Limits and Continuity Differentiation Techniques Applications of Derivatives Integration Methods Differential Equations
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