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Resources on Statistics and Probability

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A

Addition

      - Column Methods

      - Decimals

      - Fractions

Algebra

       - Introductory Topics

       - Intermediate Topics

       - Advanced Topics

Algebraic Fractions

Arithmetic

Area

      - Circles

      - Compound Shapes

      - Parallelograms

      - Rectangles

      - Trapeziums

      - Triangles

      - Triangles Using trigonometry

      - Under curves (via integration)

Arithmetic and geometric progressions

B

BIDMAS/BODMAS

Binomial Series

Binomial Theorem

Brackets - Expanding and Factorising

C

Calculus

      - Areas under curves

      - Chain Rule

      - Differential Equations

      - Differentiating Logs and Exponentials

      - Differentiating polynomials

      - Differentiating sine and cosine (from first principles)

      - Differentiating Trig Functions

      - Higher Order Derivatives

      - Integration by Parts

      - Integration by Substitution

      - Integration (introduction)

      - Integrating Polynomials

      - Implicit Differentiation

      - Limit definition of a derivative

      - Multiple Integration

      - Numerical Differentiation

      - Parametric Differentiation

      - Partial Differential Equations

      - Partial Differentiation

      - Product Rule

      - Quotient Rule

      - Stationary Points (polynomials only)

      - Stationary Points

      - Standard Derivatives

Causal Functions

Centres of Mass

Chain Rule

Circles

      - Area

      - Circumference

      - Graphs of Circles

      - Tangents to Circles (on graphs)

      - Vocabulary

      - Sectors and Segments

Collecting Terms

Collisions Problems

Completing the square

Complex numbers

      - Arithmetic

      - De Moivre's Theorem

      - Exponential form

      - Modulus-Argument form

      - Roots of Complex Numbers

Compound Interest

Conic sections

Connected Particles Problems

Constant Acceleration Equations

Converting Units

Coortinates

Cosine Rule

Cramer's Rule

D

Decimals

Degrees and radians (Coming Soon)

Determinants of Matrices

De Moivre's Theorem

Difference of Two Squares

Differential equations

Differentiation - See Calculus

Directed Numbers (Positives and Negatives)

Displacement/Velocity/Time Graphs

Division

      - Fractions

      - Decimals

Domain and Range

E

Eigenvalues and eigenvectors

Equations

      - Forming Equations

      - Of Circles

      - Of Straight Line Graphs

      - Quadratic

      - Simulanteous

      - Solving Numerically

      - Solving Linear

Energy (Kinetic & Potential Energy Problems)

Error Intervals

Estimation

Expanding or removing brackets

Exponentials

      - Differentiation of Exponentials

F

Factorisation

Factor Theorem

Factors

Facts and Formulae Booklets

Formulae

      - Rearranging

      - Substituting in

Fourier series

Fourier transforms

Fractions

Functions

      - Causal

      - Domain and Range

      - Drawing using a Table of Values

      - Introduction to Function Notation

      - Inverse Functions

      - Quadratic Graphs

G

Gaussian Elimination

Gradients of Straight Line Graphs

Graphs

      - Circles

      - Horizontal and Vertical Lines

      - Inequalities

      - Parallel and Perpendicular Lines

      - Quadratic

      - Straight lines

H

Highest Common Factor (HCF

I

Inclined Plane Problems

Indices and powers

Inequalities

      - Curves and Lines

      - Solving

      - Linear Graphical Inequalities

Integration - see Calculus

Interval Bisection

Inverse Matrices

Iterative Methods for differentiation

Iterative Methods For Systems of Equations

Iteration for solving equations

L

Laplace transforms

Linear equations

Logarithms

      - Introduction

      - Differentiating Logarithms

      - Laws of Logs

Lowest Common Multiples (LCM)

L'Hôpital's rule (Coming Soon)

LU Decomposition

M

Maclaurin's Series

Matrices

Matrix Norms

Mechanics

Metric Units

Mixed Numbers

Moments

Momentum

Multiplication

      - Algebraic Terms

      - Fractions

      - Decimals

Multiples

N

Negative Numbers

Newton-Raphson Method

Normals and Tangents to Curves

Numerical Methods for solving Equations

O

Order of operations

P

Parallel and Perpendicular Lines (on graphs)

Parametric Functions

      - Differentiating

      - Introduction

Partial derivatives

Partial differential equations

Partial fractions

Pascal's triangle and binomial theorem

Percentages

Periodic functions

Planes (Vector Equations of)

Polar Coordinates

Prime Numbers

Product Rule

Projectiles

Proportion

Proportional Change

Pythagoras' theorem

Q

Quadratics

      - Completing the Square

      - Quadratic Formula

      - Quadratic Graphs

      - Solving By Factorising

Quotient Rule

R

Ratio

Rational and Irrational Numbers

Rearranging formulae

Remainder theorem and factor theorem

Resolving Forces

Rules of arithmetic

S

Scalar Products

Sectors and Segments of Circles

Sequences and series

      - Arithmetic and geometric progressions

      - Binomial Series

      - Infinite Series

      - Fourier Series

      - Maclaurin's & Taylor's Series

      - Power Series

Sigma notation

Simultaneous equations

Sine and cosine rule

SOHCAHTOA

Standard Form

Straight-Line Graphs

Study Skills For maths (Coming Soon)

Substitution

Subtraction

      - Column Methods

      - Fractions

      - Decimals

Surds

SUVAT Equations

Surface Area

T

Tangents and Normals to Curves

Tables of Values (Plotting Graphs)

Taylor's Series

Triangles (Properties of)

Trigonometry

      - Area of Triangles

      - Differentiation and Trigonometry

      - Finding Sides and Angles (Right-Angled triangles)

      - Graphs of Trig Functions

      - Identities

      - Introductory topics

      - SOHCAHTOA

U

Units

Upper and Lower Bounds

V

Vectors

Vector Products

Vector Calculus (Coming Soon)

Volume

W

Work & Energy

Y

y=mx+c