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Bachelor of Science in Applied 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. Mathematical Modeling
100 mins
10 topics
Introduction to Mathematical Modeling Types of Mathematical Models Formulating Mathematical Models Solving Mathematical Models Model Validation and Interpretation
5. Calculus I
100 mins
10 topics
Introduction to Limits Continuity Differentiation Applications of Derivatives Integration
6. Calculus II
60 mins
6 topics
Sequences and Series Techniques of Integration Differential Equations Parametric Equations and Polar Coordinates Vectors and Vector Calculus
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. Optimization Theory
90 mins
9 topics
Introduction to Optimization Theory Unconstrained Optimization Constrained Optimization Linear Programming Nonlinear Programming
10. Statistics
90 mins
9 topics
Introduction to Statistics Descriptive Statistics Probability Inferential Statistics Correlation and Regression Analysis
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