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
