# Pure Mathematics with FP1 and FP2

### Description

A-Levels Pure Mathematics Mind Map on Pure Mathematics with FP1 and FP2, created by Alex Burden on 03/11/2014.
Mind Map by Alex Burden, updated more than 1 year ago
 Created by Alex Burden over 9 years ago
152
5

## Resource summary

Pure Mathematics with FP1 and FP2
1. Core 1
1. Factor/Remainder Theorem
1. If, when you factorise a quadratic equation, the remainder is 0 then this is the Factor Theorem.
1. Use the factor theorem to factorise the polynomial 2x³ - 7x² - 28x - 12

Attachments:

2. The Remainder Theorem is when the remainder from factorising is not 0
1. When x³ + ax² - x - 2 is divided by x - 4, the remainder of 74. Find the value of a

Attachments:

3. Binomial Expansion
1. Surds
1. Simultaneous Equations
1. Coordinate Geometry
1. Completing the Square
1. Differentiation from First Principles
1. Rules of Differentiation
1. Stationary/Turning Points
1. Normals and Tangents
1. Inequalities
1. Transformations
1. Lines and Curves
1. Roots of Equations
2. Core 2
1. Logarithms
1. Arithmetic Progressions
1. Geometric Progressions
1. Circles
1. Trigonometry - Sine and Cosine Rule
1. Trigonometry Equations
1. Trigonometry Identities
1. Integration
1. Area Under a Curve
1. The Trapezium Rule
2. Core 3
1. Secx, Cosecx and Cotx
1. Pythagorean Identities
1. Exponential and Log Functions
1. Differentiating a Bracket
1. The Quotient Rule
1. Differentiation of Inverse Trigonometry Functions
1. Implicit Differentiation
1. Parametric Differentiation
1. Disproof by Counter Example
1. Simpson's Rule
1. Functions
1. The Modulus Function
1. Integration
1. Approximate Solutions
1. Multistep Transformations
1. Intersecting Lines and Curves
1. The Product Rule
1. Trigonometry Differentiation
2. FP1
1. Matrices

Attachments:

1. Row Reduction

Attachments:

2. Roots of Equations

Attachments:

1. Cubic Equations

Attachments:

2. Complex Numbers

Attachments:

1. Number Systems

Attachments:

1. Differentiation

Attachments:

1. Isometry in the Plane

Attachments:

1. Mathematical Induction

Attachments:

1. Triangular Numbers

Attachments:

2. FP2
1. Further Partial Fractions

Attachments:

1. Complex Numbers

Attachments:

1. Factor Formulae

Annotations:

• A+B=x        A-B=y To write a product as a sum/difference; - Write in descending order - A=sum     B=difference If cos2x+cos3x+cos4x, use factor formulae on 2 extreme angles and then factorise result with the middle

Attachments:

1. The t Formulae

Attachments:

1. Further Integration

Attachments:

1. General Solutions

Attachments:

1. Functions

Attachments:

1. Conics
1. Conic Sections
1. Properties of Conic Sections

### Similar

Milgram (1963) Behavioural study of Obediance
Networks
WJEC Level 2 Latin Language Vocabulary (A)
Asch AO1 quiz
Of Mice & Men Themes - Key essay points
To Kill a Mockingbird -Analysis of Major Characters
Rivers GCSE WJEC
Religious Studies Key Concepts
WJEC Level 2 Latin Language Vocabulary (T)
Loftus and Palmer AO1 revision quiz
WJEC Level 2 Latin Language Vocabulary (E&F)