Maths resources A-Z

A complete directory of mathematics resources provided by MASH.

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A

Addition

      - Column Methods

      - Decimals

      - Fractions

Algebra

       - Introductory Topics

       - Intermediate Topics

       - Advanced Topics

Algebraic Fractions

Anxiety (Maths & Stats) 

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

Chain Rule

Circles

      - Area

      - Circumference

      - Graphs of Circles

      - Tangents to Circles (on graphs)

      - Vocabulary

      - Sectors and Segments

Collecting Terms

Completing the square

Complex numbers

      - Arithmetic

      - De Moivre's Theorem

      - Exponential form

      - Modulus-Argument form

      - Roots of Complex Numbers

Compound Interest

Conic sections

Converting Units

Coortinates

Cosine Rule

Cramer's Rule

D

Decimals

Degrees and radians (Coming Soon)

Determinants of Matrices

De Moivre's Theorem

Differential equations

Differentiation - See Calculus

Directed Numbers (Positives and Negatives)

Division

      - Fractions

      - Decimals

E

Eigenvalues and eigenvectors

Equations

      - Forming Equations

      - Of Circles

      - Of Straight Line Graphs

      - Quadratic

      - Simulanteous

      - Solving Numerically

      - Solving Linear

Expanding or removing brackets

Exponentials

      - Differentiation of Exponentials

F

Factorisation

Factor Theorem

Facts and Formulae Booklets

Formulae

      - Rearranging

      - Substituting in

Fourier series

Fourier transforms

Fractions

Functions

      - Causal

      - Drawing using a Table of Values

      - Quadratic Graphs

G

Gaussian Elimination

Gradients of Straight Line Graphs

Graphs

      - Circles

      - Horizontal and Vertical Lines

      - Inequalities

      - Parallel and Perpendicular Lines

      - Quadratic

      - Straight lines

I

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

L'Hôpital's rule (Coming Soon)

LU Decomposition

M

Maclaurin's Series

Maths Anxiety

Matrices

Matrix Norms

Mechanics

Metric Units

Mixed Numbers

Multiplication

      - Fractions

      - Decimals

N

Negative Numbers

Newton-Raphson Method

Normals and Tangents to Curves

Numerical Methods for solving Equations

Numerical Reasoning

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

Product Rule

Proportional Change

Pythagoras' theorem

Q

Quadratics

      - Completing the Square

      - Quadratic Formula

      - Quadratic Graphs

      - Solving By Factorising

Quotient Rule

R

Ratio (Coming Soon)

Rational and Irrational Numbers

Rearranging formulae

Remainder theorem and factor theorem

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

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

V

Vectors

Vector Products

Vector Calculus (Coming Soon)

Volume

Y

y=mx+c

Two people sitting at a table looking at some work together
Two people sitting at a table looking at some work together

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