Cape Pure Mathematics Unit 2 Textbook Pdf

A Level Further Maths

This qualification is a rigorous second A-level in maths. It provides challenge for the most able mathematicians who are intending to study a maths-related degree.

This qualification is now available for teaching in China, Egypt, Indonesia, Jordan, Kuwait, Malaysia, Oman, Qatar, Saudi Arabia, Singapore, Thailand, the United Arab Emirates and Vietnam.

Information for November 2021 (GCSE), January 2022 (AS/A-level), and May/June 2022 (GCSE and AS/A-level) entries

In recognition of the challenges for teachers and students throughout the COVID-19 pandemic, we have made changes to the exam arrangements for students taking their exams in November 2021, January 2022, and May/June 2022. These changes are designed to make assessments more accessible to students, whilst at the same time ensuring the qualifications remain valid and meaningful. Read more about advance information and adaptations.

Units

Unit FP1: Pure maths (AS)
Unit FPSM1: Pure maths, statistics and mechanics (AS)

Unit FP2: Pure maths (A2)
Unit FS2: Statistics OR Unit FM2: Mechanics (A2)

Resits

Candidates may re-sit a unit any number of times.
The best result for each unit will count towards the final qualification.
Candidates who wish to repeat a qualification may do so by re-sitting one or more units.

Syllabus summary

Pure Maths (AS and A-level)

Algebra and graphs
Coordinate geometry
Complex numbers
Roots and coefficients of a quadratic equation
Differentiation
Trigonometry
Calculus

Pure, Statistics and Mechanics (AS and A-level)

Matrices and transformations
Linear graphs
Numerical methods
Bayes' Theorem
Uniform distribution
Geometric distribution
Probability generating functions
Linear combinations of discrete random variables
Constant velocity in two dimensions
Dimensional analysis
Collisions in one dimension

Pure Maths (A-level only)

Roots and polynomials
De Moivre's Theorem
Polar coordinates
Proof by induction
Finite series
Series and limits
The calculus of inverse trigonometrical functions
Arc length and area of surface of revolution about the x-axis
Hyperbolic functions
Differential equations - first order
Differential equations - second order
Vectors and three-dimensional coordinate geometry
Matrix algebra
Solution of linear equations

Statistics and Mechanics (A-level only)

Moment generating functions
Estimators
Estimation
Further hypothesis testing
Vertical circular motion
Projectiles launched onto inclined planes
Elastic strings and springs
Collisions in two dimensions
Application of differential equations
Simple harmonic motion

Resources available with this specification

OxfordAQA provides the resources and advice you need to teach the International AS / A-level Further Mathematics specification effectively.