##### Dr Nyari's Science School

A British science and mathematics education

anywhere in the world

## Edexcel International A-Level Mathematics

Edexcel international A-level mathematics is a modular programme leading to six possible qualifications:

- IAS - Mathematics
- IAS - Further mathematics
- IAS - Pure mathematics
- A-level - Mathematics
- A-level - Further mathematics
- A-level - Pure mathematics

There are 14 units to choice from but note that a unit can only be used once to claim a qualification. We offer courses in each of the units individually so you have maximum flexibility.

An AS qualification requires 3 units

An A-level qualification requires 6 units (see options below)

Qualification | Compulsory Units | Optional Units |
---|---|---|

A-level Mathematics | P1, P2, P3, P4 | M1, and S1 or M1 and D1 or M1 and M2 or S1 and D1 0r S1 and S2 |

A-Level further mathematics | FP1 and either FP2 or FP3 | FP2, FP3, M1, M2, M3, S1, S2, S3, D1 |

A-Level pure mathematics | P1, P2, P3, P4, FP1 | FP2 or FP3 |

## Course Content Overview

Unit P1: Pure
Mathematics 1 - Available September 2023

- Algebra and functions
- Coordinate geometry in the (x, y) plane
- Trigonometry
- Differentiation
- Integration.

Unit P2: Pure
Mathematics 2 - Available October 2023

- Proof
- Algebra and functions
- Coordinate geometry in the (x, y) plane
- Sequences and series
- Exponentials and logarithms
- Trigonometry
- Differentiation
- Integration.

Unit P3: Pure
Mathematics 3 - Available November 2023

- Algebra and functions
- Trigonometry
- Exponentials and logarithms
- Differentiation
- Integration
- Numerical methods.

Unit P4: Pure
Mathematics 4 - Available December 2023

- Proof
- Algebra and functions
- Coordinate geometry in the (x, y) plane
- Binomial expansion
- Differentiation
- Integration
- Vectors

Unit FP1:
Further Pure
Mathematics 1 - Available August 2024

- Complex numbers
- Roots of quadratic equations
- Numerical solution of equations
- Coordinate systems
- Matrix algebra
- Transformations using matrices
- Series
- Proof.

Unit FP2:
Further Pure
Mathematics 2 - Available September 2024

- Inequalities
- Series;
- Further complex numbers;
- First order differential equations
- Second order differential equations
- Maclaurin and Taylor series
- Polar coordinates

Unit FP3:
Further Pure
Mathematics 3 - Available October 2024

- Hyperbolic functions
- Further coordinate systems
- Differentiation;
- Integration
- Vectors
- Further matrix algebra.

Unit M1:
Mechanics 1 - Available January 2024

- Mathematical models in mechanics
- Vectors in mechanics
- Kinematics of a particle moving in a straight line
- Dynamics of a particle moving in a straight line or plane
- Statics of a particle
- Moments

Unit M2:
Mechanics 2 - Available February 2024

- Kinematics of a particle moving in a straight line or plane
- Centres of mass
- Work and energy
- Collisions
- Statics of rigid bodies

Unit M3:
Mechanics 3 - Available March 2024

- Further kinematics
- Elastic strings and springs
- Further dynamics
- Motion in a circle
- Statics of rigid bodies

Unit S1:
Statistics 1 - Available April 2024

- Mathematical models in probability and statistics
- Representation and summary of data
- Probability
- Correlation and regression
- Discrete random variables
- Discrete distributions
- The Normal distribution

Unit S2:
Statistics 2 - Available May 2024

- The Binomial and Poisson distributions
- Continuous random variables
- Continuous distributions
- samples
- Hypothesis tests

Unit S3:
Statistics 3 - Available June 2024

- Combinations of random variables
- Sampling
- Estimation,
- Confidence intervals and tests
- Goodness of fit and contingency tables
- Regression and correlation.

Unit D1: Decision
Mathematics 1 - Available July 2024

- Algorithms
- Algorithms on graphs
- Algorithms on graphs II
- Critical path analysis
- Linear programming