### Contents Page

**1) Indices**

How to apply the Rules of Indices

Using the rules of Indices to Solve Equations

**2) Surds**

How to Rationalize surds

Solving Equations involving surds

Solving problem sums involving surds

**3) Logarithms**

Intro to Logarithms

Using Logarithms to solve problem sums

Applying the Laws of Logarithms to solve Log Equations

Changing Base of logarithms

Interesting question combining Surds, Indices and Log

**4) Trigonometry**

Basic Trigo: Introduction to Basic Angles

Examples showing how you can use triangles to solve trigo questions

**Trigo Equations**

Part I: Using Basic angles to solve simple trigo equations

Part II: Trigo equations involving multiple angles

Part III: Solving trigo equations by factorization

Part IV: Solving trigo equations by dividing by cos x

R formula Part I

R formula Part II

Proving Trigo identities Part I

Proving Trigo identities Part II

Proving Trigo identities Part III

Proving Trigo identities Part IV

**5) Binomial Theorem**

Part I

Part II

**6) Differentiation**

Part I

Part II

**7) Applications of Differentiation**

Part I: Tangent and Normal

Part II: Tangents and Normal

Part III: Stationary Values

Part IV: Connected Rates of Change

**8) Remainder Theorem**

Remainder Theorem Part I

Remainder Theorem Part II

**9) Roots of Quadratic Equation**

Part I: Relationship between number of roots and b^2 - 4ac

Part II: An example question

**10)Coordinate Geometry**

Part I: Finding gradient and equation of line

Part II: Using similar triangles to find coordinates of unknown point

**11)Equations of Circles**

Part I: Completing the square (Also required for E Maths)

Part II: Using the formula for equation of circles