# Integral for Edexcel International

A level Mathematics and Further Mathematics

Integral A level is designed to develop deep mathematical understanding and all the skills students need for their AS/A level studies and beyond.

• Pearson Edexcel International Advanced Subsidiary in Mathematics - XMA01
• Pearson Edexcel International Advanced Level in Mathematics - YMA01
• Pearson Edexcel International Advanced Subsidiary in Further Mathematics - XFM01
• Pearson Edexcel International Advanced Level in Further Mathematics - YFM01
• Pearson Edexcel International Advanced Subsidiary in Pure Mathematics - XPM01
• Pearson Edexcel International Advanced Level in Pure Mathematics - YPM01

As well as emphasising problem solving, communication and mathematical modelling, Integral resources are fully up to date for the most recent Edexcel International specification including the changes to Decision 1.

## Give your students the confidence they need

Integral A level is designed to develop deep understanding and the skills students need to apply maths.

Integral is bursting with teaching ideas and activities to facilitate practice and understanding, and get students to discuss maths and work through problems together.

Exercises practise the hand-written maths skills they need for exams and beyond.

It’s also the ideal companion for independent learning. ## Stay informed about how we are supporting international schools

Join our mailing list to receive information about how we are continuing to develop Integral to support schools outside the UK teaching AS/A level Mathematics and Further Mathematics.

## Integral supports the whole curriculum

Integral A level covers the whole of the International Edexcel AS/A level Mathematics, Further Mathematics, and Pure Mathematics specifications. The material is presented in topics, which are further divided into sections.

Algebraic expressions
Expressions and indices
Surds
Straight line graphs
Equations of straight lines
Equations and inequalities
Simultaneous equations
Inequalities
Graphs and transformations
Sketching graphs
Transformations of graphs
Sine, cosine and area rules
Calculus
Introduction to differentiation
Extending differentiation
Integration
Algebra and proof
Algebraic division
Proof
Coordinate geometry
Circle equations
Exponentials and logarithms
Exponential functions and logarithms
The binomial expansion
Using the binomial expansion
Sequences and series
Sequences
Arithmetic sequences
Geometric sequences
Trigonometry
Trigonometric identities and equations
Calculus
Maxima and minima
Integration as an area
Trapezium rule
Algebra and functions
Rational expressions
Functions, graphs and transformations
Composite and inverse functions
The modulus function
Integration
Integrating other functions
Trigonometry
Trigonometric reciprocals and inverses
The compound angle formulae
Alternative forms
Exponentials and logarithms
Natural logarithms and exponentials
Modelling curves
Differentiation
The chain rule
The product and quotient rules
Differentiating exponentials and logarithms
Differentiating trigonometric functions
Numerical methods
Solution of equations
Algebra and proof
Partial fractions
Differential equations
Introduction to differential equations
Binomial expansion
The general binomial expansion
Calculus
Implicit differentiation
Integration by substitution
The use of partial fractions in integration
Integration by parts
Volumes of revolution
Parametric equations
Parametric curves
Parametric differentiation
Vectors
Vectors in two and three dimensions
The angle between two vectors
The vector equation of a line
Complex numbers
Introduction to complex numbers
The Argand diagram
Modulus argument
Solving polynomial equations
Roots and coefficients
Numerical solutions of equations
Solving equations
Coordinate systems
The parabola and rectangular hyperbola
Matrices and transformations
Introduction to matrices
Matrices and transformations
Determinants and inverses
Series and induction
Summing series
Proof by induction
Inequalities
Solving inequalities
Inequalities involving the modulus function
Series
The method of differences
Maclaurin series
Taylor series
Polar coordinates
Polar curves
Finding areas
Complex numbers
de Moivre's theorem
Applications of de Moivre's theorem
Loci in the complex plane
Transformations in the complex plane
First order differential equations
Separation of variables
Integrating factors
Second order differential equations
Homogeneous differential equations
Non-homogeneous differential equations
Hyperbolic functions
Hyperbolic and inverse hyperbolic functions
Further calculus
Differentiating further functions
Using standard integrals
More integration techniques
Further integration
Reduction formulae
Arc lengths and surface areas
Further matrix algebra
Matrices and transformations in three dimensions
Eigenvalues and eigenvectors
Further coordinate systems
The ellipse and hyperbola
Vectors
The vector product
The scalar triple product
The equation of a plane
Points, lines and planes
Constant acceleration
Displacement and distance
Speed and velocity
The constant acceleration formulae
Working with vectors
Moments
The moment of a force
Dynamics of a particle
Force diagrams and equilibrium
Applying Newton's second law
Connected objects
Momentum and impulse
Introduction
Forces and motion in two dimensions
Resolving forces
Newton's second law in two dimensions
Friction
Kinematics
Projectiles
Variable acceleration
Centre of mass
Finding centres of mass
Work, energy and power
Work and energy
Power
Momentum and impulse
Newton's law of restitution
Statics of rigid bodies
Equilibrium of rigid bodies
Further kinematics and dynamics
Variable acceleration
Variable force
Elastic strings and springs
Using Hooke's law
Work and energy
Simple harmonic motion
Modelling oscillations
Oscillating mechanical systems
Circular motion
Motion in a horizontal circle
Motion in a vertical circle
Statics of rigid bodies
Solids of revolution
Plane regions
Working with data
Measures of location
Representing data
Correlation and regression
Correlation
Regression
Discrete random variables
Introduction
Expectation and variance
The normal distribution
Using the normal distribution
Probability
Working with probability
Conditional probability
Statistical distributions
The binomial distribution
The Poisson distribution
Using approximations
Continuous random variables
Probability density functions
Mean and variance
Cumulative distribution functions
Hypothesis testing
Introducing hypothesis testing
Combinations of random variables
Combinations of normal distributions
Estimation, confidence intervals and tests
Sampling and estimation
Confidence intervals
Hypothesis testing
Chi-squared tests
Contingency tables
Goodness of fit
Correlation
Rank correlation
Algorithms
Working with algorithms
Sorting and packing
Algorithms on graphs
Minimum spanning trees
Shortest paths
Further algorithms on graphs
The route inspection problem
The travelling salesperson problem
Critical path analysis
Activity networks
Scheduling activities
Linear programming
Formulating and solving graphically

Each section contains a standard set of resources, including:

## We've put a lot into it

• 120sections
• 500crucial points
• 1800written exercise questions
• 1200online test questions
• 500exam-style questions
• 300teaching ideas and resources
• 400interactive resources

## Take a look at some sample resources

• written exercises
• teaching activities
• interactive resources

## High quality and affordable

Integral has been developed by experts at MEI.

MEI is an independent charity, committed to improving maths education. Our maths education specialists have considerable classroom experience and deep expertise in the teaching and learning of maths.

As a charity, MEI is able to focus on supporting maths education, rather than generating profit. That's why we're able to offer fantastic resources at a low price. ## Easy to use

• Designed for use on both desktop and tablet devices
• Access from school, college, university and home at any time ## Subscribe

We base the costs of our annual subscriptions to Integral A level on the number of students you want to give access.