Textbook by Pearson

Revision Notes

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

Worksheets

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

VIDEO TUTORIALS & WORKED PAPERS

Rational Expressions

Partial Fractions

- Introduction
- Summary Excercise
- Denominator Contains 2 or 3 Linear Factors
- Denominator contains 2 linear factors
- Summary Exercise: 2 linear factors
- Denominator contains 3 linear factors
- Summary Exercise: 3 linear factors
- Repeated Linear Factors
- Repeated Linear Factors (Alternative Method)
- Exam questions

Sequences and Series

Binomial Expansion

Coordinate Geometry

Parametric Equations

- What are Parametric equations?
- Converting to Cartesian form
- Converting trig. types to Cartesian form
- Sketching curves 1
- Sketching curves 2
- Exam questions

Differentiation

Exponential Functions

Parametric Functions

Implicit Functions

- Differentiating Implicit equations
- Using the Product Rule with Implicit equations
- Tangents to Implicit curves
- Finding stationary points
- Nature of stationary points
- Exam questions

Connected Rates of Change

- Connected Rates of Change Example
- Three connected rates of change (Best Method)
- Three connected rates of change (Alternative Method)
- Example of Cone type problem
- Exam questions

Integration

Common Functions

- (ax + b)
^{n}type functions - Summary Exercise: (ax + b)
^{n}type functions - Exponential functions: e
^{x}, e^{ax}and e^{(ax + b)} - Reciprocal functions 1/x and 1/(ax + b)
- Integrals of the form: f'(x)/f(x)
- Integrals of the form: f'(x)e
^{f(x)}

Trigonometric Functions

- Integrals of sin(x), cos(x) and sec
^{2} - Integrals of the form sin(ax + b), cos(ax + b) and sec
^{2}(ax + b) - Identity types: 1 | 2 | 3
- sin
^{2}types - cos
^{2}types - Exam questions

Partial Fractions

Integration by Substitution

- Examples: 1 | 2
- Square root types (Method 1)
- Square root types (Method 2)
- Integrating trig. functions
- Integrating exponential types
- Integration by substitution with limits
- Integrating trig. functions with limits
- Exam questions

Integration by Parts

- Introduction
- Applying integration by parts twice over
- Worked Example
- Natural Log types: ln(x)
- Integration by parts with limits
- Proof of the formula
- Exam questions

Mixed Examples & Exam Questions on Integration

Application: Area Bound by a Curve

Application: Volumes of Revolution

- Introduction
- Example question
- Area enclosed by several curves
- Volume of revolution for a parametric curve
- Exam questions

Numerical Integration: Trapezium Rule

First Order Linear Differential Equations

Seperating the Variables

- What do we mean by seperating the variables?
- Where does the Constant C go?
- Handling the constant in log types
- Exponential and trig. types

Forming Differential Equations

Vectors

Vectors

- What is a vector and a scalar quantity?
- Vector notation
- Position vectors
- Equal and negative vectors
- Multiplying a vector by a scalar
- Addition and subtraction
- Magnitude of a 2 dimensional vector
- Distance between 2 points (2D)
- Magnitude of a 3 dimensional vector
- Unit vectors

Scalar Product (Dot Product)

- What is a scalar/dot product?
- Finding the interior angle of a triangle
- Perpendicular vectors
- Finding a vector that is perpendicular to 2 vectors

Vector Equations of Lines

- Equation of a line
- Introduction
- Sketching 3D vector problems
- Method when given a point on the line and direction
- Method when line passing through 2 given points
- Angle between two lines
- Conditions for lines to be parallel
- Intersecting and skew lines
- Closest point to a line and shortest distance from origin
- Shortest distance of a point to a line

Mixed Exam Questions on Vectors

Worked Papers

For worked papers, see the top of this page.