Textbook by Pearson

Revision Notes

- Key revision points by Edexcel
- Revision notes by Simon Baxter
- Revision guide by m4ths.com
- C3 revision cards by mrsmorgan1

Worksheets

- C3/C4 assessment by oup.com
- C3 worksheets by StudyWell

VIDEO TUTORIALS & WORKED PAPERS

Rational Expressions

Rational Expressions

- Simplifying algebraic fractions
- Addition and subtraction of algebraic fractions 1
- Addition and subtraction of algebraic fractions 2
- Multiplication of algebraic fractions
- Simplifying "stacked" fractions
- Division of algebraic fractions
- Exam questions

Functions

Working with Functions

- f(x) notation
- Domain and range 1
- Domain and range 2
- Combination of functions | Example 1 | Example 2
- The inverse of a function | Example 1 | Example 2 | Example 3
- Graphical relationship between f(x) and its inverse | Example 1 | Example 2
- Exam questions

Transformations of Graphs (c3 Revision)

- Basic graphs used in transformations
- Translations
- y = f(x + a) and y = f(x) + a
- Why does y = f(x + a) work in this way?
- Why does y = f(x) + a work in this way?
- Reflections
- Stretches
- What are asymptotes?
- Exam questions

Modulus Functions

- The Modulus function: |x|
- Graphing y = |f(x)|
- Graphing y = f(|x|)
- Modulus Equations
- Example: How to solve |x + 1| = -2x - 5
- Example: How to solve |x - 2| = 3
- Example: How to solve |3x + 9| = |2x + 1|
- Modulus Inequalities
- Exam questions

Logarthmic and Exponential Functions

The Exponential Function e^{x} and Natural Log Functions

- Exponential Functions
- Transformations of exponential graphs
- The Natural Log Function: ln(x)
- Exam questions

Trigonometry

Secθ, Cosecθ and Cotθ

Inverse Trigonometric Functions

- arcsin(x) or sin
^{-1}(x) - arccos(x) or cos
^{-1}(x) - arctan(x) or tan
^{-1}(x) - Examples using inverse trigonometric functions

Indentities and Equations: Pythagorean Type

- sin
^{2}x + cos^{2}x = 1, 1 + tan^{2}x = sec^{2}x, 1 + cot^{2}x = cosec^{2}x - Proving Pythagorean identities
- Solving equations using Pythagorean identities

Indentities and Equations: Addition Type

- sin(A + B), cos(A + B) and tan(A + B) addition formulae
- Finding exact trig. ratios
- Exact values of sin(A + B) etc
- Proving identitites using the Addition Formulae

Indentities and Equations: Double Angle Type

- Identities for sin(2A), cos(2A) and tan(2A)
- Proving identities using the Double Angle identities
- Solving equations using Double Angle identities

Indentities and Equations: Half Angle Type

Indentities and Equations: Triple Angle Type

Indentities and Equations: Factor Formulae

Indentities and Equations: Harmonic Formulae

- Asin(x) + Bcos(x) = Rsin(x + a)
- Asin(x) - Bcos(x) = Rsin(x - a)
- Acos(x) + Bsin(x) = Rcos(x - a)
- Asin(x) - Bcos(x) = Rcos(x + a)
- Solving equations using Harmonic identities
- Exam questions

Exam Questions

Differentiation

Standard Differentials

Differentiating with the Chain Rule

- Functions to a power
- Exponential functions
- Natural log functions
- Trigonometric functions
- Trigonometric functions to a power

The Product Rule and the Quotient Rule

- Product Rule
- Quotient Rule

More Standard Differentials

Reciprocal Function of dy/dx

Differentiation Exam Questions

- Exam Questions - Methods of differentiation
- Exam Questions - Tangents, normals and stationary points
- Exam Questions - Exponential rates of change

Numerical Solution of Equations

Solving Equations with Numerical Methods

Worked Papers

For worked papers, see the top of this page.