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Pure Mathematics with FP1 and FP2
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1576168
Mind Map
by
Alex Burden
, created
over 4 years ago
A-Levels Pure Mathematics Mind Map on Pure Mathematics with FP1 and FP2, created by Alex Burden on 11/03/2014.
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core 1
core 2
core 3
fp1
fp2
pure mathematics
further mathematics
as-level
a-level
wjec
Created by
Alex Burden
over 4 years ago
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Pure Mathematics with FP1 and FP2
1 Core 1
1.1 Factor/Remainder Theorem
1.1.1 If, when you factorise a quadratic equation, the remainder is 0 then this is the Factor Theorem.
1.1.1.1 Use the factor theorem to factorise the polynomial 2x³ - 7x² - 28x - 12
Attachments:
Factor Theorem answer
1.1.2 The Remainder Theorem is when the remainder from factorising is not 0
1.1.2.1 When x³ + ax² - x - 2 is divided by x - 4, the remainder of 74. Find the value of a
Attachments:
Remainder Theorem answer
1.2 Binomial Expansion
1.3 Surds
1.4 Simultaneous Equations
1.5 Coordinate Geometry
1.6 Completing the Square
1.7 Differentiation from First Principles
1.8 Rules of Differentiation
1.9 Stationary/Turning Points
1.10 Normals and Tangents
1.11 Inequalities
1.12 Transformations
1.13 Lines and Curves
1.14 Roots of Equations
2 Core 2
2.1 Logarithms
2.2 Arithmetic Progressions
2.3 Geometric Progressions
2.4 Circles
2.5 Trigonometry - Sine and Cosine Rule
2.6 Trigonometry Equations
2.7 Trigonometry Identities
2.8 Radian Measure
2.9 Integration
2.10 Area Under a Curve
2.11 The Trapezium Rule
3 Core 3
3.1 Secx, Cosecx and Cotx
3.2 Pythagorean Identities
3.3 Exponential and Log Functions
3.4 Differentiating a Bracket
3.5 The Quotient Rule
3.6 Differentiation of Inverse Trigonometry Functions
3.7 Implicit Differentiation
3.8 Parametric Differentiation
3.9 Disproof by Counter Example
3.10 Simpson's Rule
3.11 Functions
3.12 The Modulus Function
3.13 Integration
3.14 Approximate Solutions
3.15 Multistep Transformations
3.16 Intersecting Lines and Curves
3.17 The Product Rule
3.18 Trigonometry Differentiation
4 FP1
4.1 Matrices
Attachments:
Matrices
4.1.1 Row Reduction
Attachments:
Row Reduction
4.2 Roots of Equations
4.2.1 Quadratic Equations
Attachments:
Roots of Equations - Quadratic
4.2.2 Cubic Equations
Attachments:
Roots of Equations - Cubic
4.3 Complex Numbers
Attachments:
Complex Numbers
4.4 Number Systems
Attachments:
Number Systems
4.5 Differentiation
Attachments:
Differentiation
4.6 Isometry in the Plane
Attachments:
Isometry in the Plane
4.7 Mathematical Induction
Attachments:
Mathematical Induction
4.8 Triangular Numbers
Attachments:
Triangular Numbers
Triangular Numbers
5 FP2
5.1 Further Partial Fractions
Attachments:
Further Partial Fractions
5.2 Complex Numbers
Attachments:
Complex Numbers
5.3 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:
Factor Formulae
5.4 The t Formulae
Attachments:
The t Formulae
5.5 Further Integration
Attachments:
Further Integration
5.6 General Solutions
Attachments:
General Solutions
5.7 Functions
Attachments:
Functions
5.8 Conics
5.8.1 Conic Sections
5.8.1.1 Properties of Conic Sections
Media attachments