Edexcel C4 Core Maths
Algebra and Series
Coordinate Geometry
Differentiation
Exponential Functions
(ax+b)n types
The exponential functions : ex, eax 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)ef(x)
Trigonometric types
- sin x, cos x, sec² x
- sin(ax+b), cos(ax+b), sec² (ax+b) types
- Identity types
- sin² x types
- cos² x types
- Exam Questions
Partial fraction types
Substitution
- Substitution 1
- Substitution 2
- Substitution 3a
- Substitution 3b
- Substitution 4 (trig types)
- Substitution 5 (exponential types)
- Substitution 6 (using limits)
- Substitution 7 (trig type with limits)
- Exam Questions
By Parts
Mixed examples
Applications
- Separating the variables
- Forming differential equations
Numerical Methods
- What is a vector and a scalar quantity?
- Notation
- Position vectors
- Equal and negative vectors
- Addition and subtraction of vectors
- Magnitude of a 2 dimensional vector
- Unit vectors
- Magnitude of a 3 dimensional vector
Scalar Product (Dot Product)
Lines
- Vector equation of a line
- Angle between two lines
- Parallel lines
- Intersecting and skew lines
- Closest point to a line and shortest distance from the origin
Exam Questions