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Maths
Number
Types of number
Natural numbers
Integers
Rational numbers
Irrational numbers
Real numbers
Arithmetic
Order of operations
Rounding
Rounding to decimal places
Rounding to nearest integer
Rounding to significant figures
Representing fractions
Converting percentages to decimals
Converting decimals to percentages
Converting fractions to decimals
Converting decimals to fractions
Converting fractions to percentages
Converting percentages to fractions
Converting recurring decimals to fractions
Divisibility
Prime numbers
Composite numbers
Prime factor decomposition
Highest common factor
Lowest common multiple
Fractions
Simplifying fractions
Multiplying fractions
Dividing fractions
Adding fractions
Subtracting fractions
Algebraic fractions
Percentages
Converting percentages to decimals
Converting decimals to percentages
Percentage of a quantity
Percentage increase
Percentage decrease
Ratio
Ratio meaning
Simplifying ratios
Algebra
Indices and surds
Laws of indices
Multiplying indices
Dividing indices
Raising an index to an index
Power of 0
Power of 1
Fractional powers
Negative powers
Changing the base of a power
Surds
Simplifying surds
Adding surds
Subtracting surds
Multiplying surds
Dividing surds
Rationalising the denominator
Linear functions
Equation of a straight line
Finding the equation of a straight line
Modulus of a linear function
Inequalities
Inequality signs
Solving linear inequalities
Quadratic inequalities
Polynomial arithmetic
Expanding brackets
Expanding single brackets
Expanding double brackets
Expanding triple brackets
Expanding brackets with surds
Factorising quadratics
Polynomial division
Difference of two squares
The factor theorem
Quadratics
Quadratic functions and their graphs
The discriminant of a quadratic equation
Completing the square
Solving quadratic equations by completing the square
Quadratic formula
Solving disguised quadratics
Sequences
Arithmetic sequences
Simultaneous equations
Solving simultaneous equations by elimination
Solving simultaneous equations by substitution
Number of intersections between graphs
Logarithms
The logarithm function
Laws of logarithms
Adding logarithms
Subtracting logarithms
Multiplying logarithms by a constant
Proportionality
Direct proportion
Inverse proportion
Binomial expansion
Binomial expansion
Graphs
Coordinates
Cartesian coordinates
Graph transformations
Translating graphs
Stretching graphs
Parallel line equations
Perpendicular line equations
Real-world graphs
Distance-time graph
Exponential graphs
Exponential function
Exponential function gradient
Logarithm function gradient
Logarithm graph equation
Geometry
Circles
Equation of a circle
Calculus
Differentiation
Definition of differentiation
Derivative notation
Power rule for differentiation
Further
Complex numbers
Adding complex numbers
Subtracting complex numbers
Multiplying a complex number by a real number
Complex conjugate
Complex numbers
Complex solutions to polynomials
Dividing complex numbers
Factorising polynomials with complex roots
The imaginary constant
Multiplying a complex number by its conjugate
Coefficient and root relationships
Relationship of roots and coefficients of a quadratic
Matrices
Matrix definition
Matrix addition
Matrix scalar multiplication
Matrix multiplication
Identity matrix
Matrix determinant
Inverse matrix
Singular matrix
Matrix transformations
Matrix transformations about the origin
Solving simultaneous equations using matrices
Discrete
Graphs
Graph vertex
Graph edge
Graph walk
Graph trail
Graph path
Graph cycle
Graph loop
Simple graph
Connected graph
Complete graph
Graph tree
Subgraph
Eulerian graph
Hamilton graph
Planar graph
Adjacency matrix
Graph complement
Graph subdivision
Bipartite graph
Isomorphic graph
Networks
Network node
Network arc
Distance matrix
Minimum spanning tree
Prim's algorithm
Kruskal's algorithm
Activity networks
Network flows
Network flows
Game theory
Pay-off matrices
Play safe strategy
Dominating strategies
Optimal mixed strategy
Linear programming
Linear Programming
Unsorted
Common function graphs
Inequality of Arithmetic and Geometric Means
Vector translation
Physics
Electricity
Basics of electricity
Electrical charge
Electrical current
Voltage
Electrical resistance
Electrical energy
Electrical power
Units of energy
Calculating the number of electrons
Resistance in a bulb
Diode
Potential divider
Temperature coefficient
Resistivity
Resistance in a wire
Computing
Systems software
Systems software
Operating systems
Utility programs
Dynamic libraries
Code translation
Code translators
Compiler
Interpreter
Assembler
Number systems
Natural numbers
Units of data
Bit
Byte
Nibble
Converting bits to bytes
Converting bytes to bits
Decimal prefixes
Binary prefixes
Binary
Unsigned binary
C# programming
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