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## Welcome!

**In this section you can find material with explanations and examples in algebra. Each topic is divided into sub topics with detailed explanation on what is discussed. Material is in word format and can be download directly by clicking on the red titles.**

**Algebra I**

1. Using letters for number

2. Substitution

3. Simplification of expressions

4. Indices

**Algebra 2**

1. Expanding brackets

2. Simple factorisation

3. Quadratic factorisation

4. Completing the square

**Algebra 3**

1. Solving simple equations

2. Evaluation and transposition of formulae

**Algebra 4**

1. Solving quadratic equations

2. Solving simultaneous equations

**Algebra: Factorising and Long Division**

1. Revision of multiplying brackets

2. Factorisation

3. Long division in algebra

**Algebraic Fractions**

1. Simplification

2. Multiplication & Division

3. Addition & Subtraction

**Complex numbers**

1. Introduction

2. Argand diagram

3. The four rules

4. Modulus-Argument form

5. Roots

**Graphs 1**

1. Introduction

2. Straight line graphs

3. Graphs of quadratics

4. Common types of graph

**Graphs 2**

1. Revision of straight line graphs and quadratics

2. Cubics

3. Quartics.

4. Higher powers

5. Fractional functions

6. Modulus functions

**Inequalities & Modulus**

1. Introduction

2. Inequalities: (basic facts, solution, fractional functions)

3. Modulus: (meaning, solution of equations & inequalities)

**Logarithms**

1. Revision of indices

2. What are logarithms?

3. Rules for manipulation

4. Solving equations using logs

5. The straight line law

6. Graph of Inx and its inverse

**Matrices**

1. Introduction

2. Order, addition and subtraction

3. Equality

4. Multiplication

5. Identity and invers

6. Echelon method

**Partial fraction & integration**

1. Partial fractions

2. Integration using partial fractions

**Vectors 1**

1. What is a vector?

2. Arithmetic operations on vectors

3. Scalar (dot) product

4.Vector (cross) product

**Vectors 2**

1. Recap on vectors

2. Unit vectors, normals and bases

3. Vector equations of straight lines and planes

4. Intersections of lines and planes

5. Div, grad, curl & the laplacian