C4 Edexcel Maths Tutorials


It is advisable to check the official C4 Edexcel Specification in case of changes: Specification

Contents for C4 Edexcel

Rational Expressions
Partial Fractions
Sequences and Series
Binomial Expansion
Coordinate Geometry
Parametric Equations
Differentiation
Exponential Functions
Parametric Functions
Implicit Functions
Connected Rates of Change
Integration
Common Functions
Trigonometric Functions
Integrals involving Partial Fractions
By Substitution
By Inspection
By Parts
Mixed Examples and Exam Questions
Area bounded by a Curve
Volumes of Revolution
Numerical Integration
First Order Differential Equations
Separating the Variables
Forming Differential Equations
Vectors
Vectors
Scalar Product
Vector Equations of Lines
Exam Questions

Rational Expressions

Partial Fractions

  1. Partial fractions
  2. Denominator contains 2 or 3 linear factors
  3. Denominator contains repeated factors
  4. Exam Questions - Partial fractions
  5. Improper types

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Sequences and Series

Binomial Expansion

  1. Exam Questions - Binomial expansion for rational and negative powers
  2. Exam Questions - Partial fractions with the binomial expansion

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Coordinate Geometry

Parametric Equations

  1. Parametric equations
  2. Converting to Cartesian form
  3. Exam Questions - Parametric to Cartesian equations
  4. Sketching parametric graphs
  5. Finding Points of Intersection between a Parametric and Cartesian Equation
  6. Exam Questions - Parametric equations

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Differentiation

Exponential Functions

  1. Differentiation: Exponential functions of the form y=ax

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Parametric Functions

  1. Differentiation: Parametric functions
  2. Tangents and normals
  3. Stationary points
  4. Exam Questions - Parametric functions

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Implicit Functions

  1. Implicit functions
  2. Tangents and normals
  3. Stationary points
  4. Exam Questions - Implicit functions

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Connected Rates of Change

  1. Connected rates of change
  2. Using three connected rates of change
  3. Connected rates of change cone type problems
  4. Exam Questions - Connected rates of change

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Integration

Integration – Common Functions

  1. Integration:(ax+b)n types
  2. Exam Questions - Integration:(ax+b)n types
  3. Integrating exponential functions ex, eax and e(ax+b)
  4. Exam Questions - Integrating exponential functions ex, eax and e(ax+b)
  5. Integrating reciprocal functions 1/x and 1/(ax+b)
  6. Exam Questions - Integrating reciprocal functions 1/x and 1/(ax+b)
  7. Integrals of the form : f '(x)/f(x)
  8. Integrals of the form : f'(x)ef(x)

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Integrals of Trigonometric Functions

  1. Integrals of sin x, cos x, sec² x
  2. Integrals of the form sin(ax+b), cos(ax+b), sec² (ax+b) types
  3. Integrals Using Trigonometric Identities
  4. sin2x and cos2x types
  5. Exam Questions - Trigonometric types

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Integrals involving Partial fractions

  1. Integrals involving partial fractions
  2. Exam Questions - Integrals involving partial fractions

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Integration by Substitution

  1. Integration by substitution
  2. Square root types
  3. Integration of trigonometric functions by substitution
  4. Integration of exponential types by substitution
  5. Integration by substitution using limits
  6. Integration of trigonometric functions by substitution with limits
  7. Exam Questions - Integration by substitution

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Integrating Products of the form f[g(x)]g'(x) by inspection

  1. Integrating products of the form f[g(x)]g'(x) by inspection

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Integration by Parts

  1. Integration by parts
  2. Integration by parts (ln types)
  3. eaxsin(bx) and eaxcos(bx) types
  4. Integration by parts using limits
  5. Proof of the formula - Integration by parts
  6. Exam Questions - Integration by parts

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Mixed Examples & Exam Question – Integration

  1. Integration - General Methods
  2. Mixed Examples - Integration
  3. Exam Questions - Integration

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Applications of Integration – Area bound by a curve

  1. Area under a graph : parametric type

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Applications of Integration – Volumes of revolution

  1. Volume of revolution about the x-axis
  2. Exam Questions - Volume of revolution about the x-axis
  3. Volume of revolution about the x-axis generated between curves
  4. Volume of revolution for a curve given in parametric form
  5. Exam Questions - Volume of revolution: parametric form

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Numerical Integration

  1. Trapezium rule
  2. Exam Questions - Trapezium rule

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First Order Linear Differential Equations

Differential equations – Separating the variables

  1. Differential Equations - Finding a general and a particular solution
  2. Working with constants in log types
  3. Differential Equations - Exponential and trig type

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Differential equations – Forming differential equations

  1. Direct proportion type
  2. Inverse proportion type
  3. Newton's law of cooling
  4. Exam Questions – Forming differential equations

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Vectors

Vectors

  1. What is a vector and a scalar quantity?
  2. Vector notation
  3. Position vectors
  4. Equal and negative vectors
  5. Multiplying a vector by a scalar
  6. Addition and subtraction of vectors
  7. Magnitude of a 2 dimensional vector
  8. Magnitude of a 3 dimensional vector
  9. Unit vectors

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Scalar Product (Dot Product)

  1. Scalar product
  2. Perpendicular vectors
  3. Exam Questions - Scalar product

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Vector Equations of Lines

  1. Vector equation of a line
  2. Angle between two lines
  3. Parallel lines
  4. Intersecting and skew lines
  5. Exam Questions - Parallel intersecting and skew lines
  6. Closest point to a line and shortest distance from the origin
  7. Shortest distance of a point to a line

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Exam Questions – Vectors

  1. Exam Questions - Vectors

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