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Bachelor of Science 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. Calculus
100 mins
10 topics
Introduction to Limits
Differentiation Techniques
Applications of Derivatives
Integration and Antiderivatives
Techniques of Integration
3. Linear Algebra
90 mins
9 topics
Introduction to Vectors
Vector Spaces
Matrix Operations
Determinants and Inverses
Systems of Linear Equations
4. 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
5. Real Analysis
80 mins
8 topics
Introduction to Real Analysis
Sequences and Series
Continuity and Differentiability
The Riemann Integral
Sequences of Functions
6. Abstract Algebra
90 mins
9 topics
Introduction to Groups
Subgroups and Lagrange's Theorem
Group Homomorphisms and Isomorphisms
Rings and Fields
Polynomial Rings
7. Numerical Analysis
80 mins
8 topics
Introduction to Numerical Analysis
Error Analysis in Numerical Methods
Root Finding Methods
Interpolation and Approximation
Numerical Differentiation and Integration
8. Topology
90 mins
9 topics
Introduction to Topology
Topological Properties
Continuity and Homeomorphisms
Topological Constructions
Metric Spaces and Topology
9. Mathematical Logic
90 mins
9 topics
Introduction to Mathematical Logic
Propositional Logic
Predicate Logic
Inference Rules and Proofs
Logical Equivalences
10. Mathematical Modeling
100 mins
10 topics
Introduction to Mathematical Modeling
Types of Mathematical Models
Formulating Mathematical Models
Solving Mathematical Models
Model Validation and Interpretation