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Diploma in Mathematics

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Course Outline

10 sections
1. Probability and Statistics
70 mins
7 topics
Introduction to Probability Probability Rules Probability Distributions Descriptive Statistics Inferential Statistics
2. Algebra and Equations
100 mins
10 topics
Introduction to Algebra Solving Linear Equations Graphing Linear Equations Systems of Equations Quadratic Equations
3. Geometry and Trigonometry
100 mins
10 topics
Introduction to Geometry Properties of Triangles Circles and their Properties Quadrilaterals and Polygons Introduction to Trigonometry
4. Linear Algebra
90 mins
9 topics
Introduction to Vectors Vector Spaces Matrix Operations Determinants and Inverses Systems of Linear Equations
5. 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
6. Mathematical Modeling
100 mins
10 topics
Introduction to Mathematical Modeling Types of Mathematical Models Formulating Mathematical Models Solving Mathematical Models Model Validation and Interpretation
7. Foundations of Mathematics
100 mins
10 topics
Introduction to Number Systems Basic Arithmetic Operations Properties of Numbers Prime Numbers and Factorization Introduction to Algebra
8. Calculus Fundamentals
90 mins
9 topics
Introduction to Calculus Limits and Continuity Derivatives Applications of Derivatives Integration
9. Number Theory
80 mins
8 topics
Prime Numbers Divisibility Rules Modular Arithmetic Greatest Common Divisor (GCD) and Least Common Multiple (LCM) Diophantine Equations
10. Advanced Topics in Mathematics
80 mins
8 topics
Multivariable Calculus Linear Algebra and Matrix Theory Differential Equations Complex Analysis Numerical Methods
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