## Programme Offered

The module comprises **8 sections:**

**1. Matrices**

- Introduction to Matrices
- Matrix Multiplication
- Determinants
- The Inverse of a Matrix

**2. Vectors**

- Basic Concepts of Vectors
- Cartesian Components of Vectors
- The Scalar Product
- The Vector Product

**3. Complex Numbers **

- Complex Arithmetic
- Argand Diagrams and the Polar Form
- The Exponential Form
- DeMoivre's Theorem

**4. Calculus**

- Introducing Differentiation
- Using a Table of Derivatives
- Higher Derivatives
- Differentiating Products and Quotients
- The Chain Rule
- Parametric Differentiation
- Basic Concepts of Integration
- Definite Integrals
- The Area Bounded by a Curve
- Integration by Parts
- Techniques of Integration

**5. Functions of Several Variables**

- Functions of Two Variables
- Partial Differentiation
- Maxima and Minima
- Errors

**6. Applications of Matrices**

- Cramer's Rule
- Inverse Matrix Approach
- Gauss Elimination
- Eigenvalues and Eigenvectors

**7. Ordinary Differential Equations**

- Differential Equations of First Order
- Constant Coefficient Equations
- Applications of Differential Equations

**8. An Introduction to the Laplace Transform**

- Causal Functions
- The Transform and its Inverse
- Further Laplace Transforms
- Solving Differential Equations