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Number and Algebra
Basics
- Straight lines
- Surds
- Simultaneous equations
Number
- Rounding
- Scientific Noatation
- Percentage Error
Quadratics
- Factorizing
- Completing the Square
- Quadratic Formula
- The Vertex
- The Discriminant
Index Rules
- Indices rules
- Indices questions
Series
- Arithmetic Series
- Geomrtric Series
- The Sigma Sign
Complex Number
- The Imaginary Number
- Complex Number
- Argand Planes
- Polar and Euler
- Periodic Models
Matrices
- Matrix Basics
- Matrix Algebra
- Eigenvalues and Eigenvectors
- Markov Chains
- Transformations
Functions
Notation
- Subbing and Solving
- Domain and Range
- Functions and Relations
- Inverse Functions
Graphing Functions
- Transformations
Logarithms and e
- Exponents
- Logarithms
- ln and e
Modelling
- Quadratic and Cubic
- Power Functions
- Exponential Functions
- Sinusoidal Functions
Financial Maths
- Compound Interest
- Loans
- Annunities
Geometry and Trigonometry
Basic Trigonometry
- Right angled triangles
- Basic trig graphs
- Area formula
- Sine rule
- Cosine rule
Basic Shape
- Area and Surface Area
- Volume
Radian and Unit Circle
- Radian measure
- Unit circle and exact trigonometry
Trigonometric Graphs
- Transformations
- Modelling
Vector Geometry
- Key terms
- Geometry
- Displacement
Vector Lines
- 3d vectors
- Angle between vectors
- Line equations
- Intersecting vector lines
Cross Product
- Definition
- Area applications
Graph Theory 1
- Informal definaitions
- Formal definitions
- Routes
- Weighteed graphs
- Trees and spanning
- Chinese Postman Problem
Graph Theory 2
- Eulerian graphs
- Hamilton graphs
- Travelling Salesman Problem
Statistics and Probability
Statistics
- Data and Central Tendency
- Quartiles and Boxplots
- Correlation and Regression
- Mean and Variance
Probability
- Probability
- Venn diagrams
- Formulae
- Tree diagrams and condiontal probability
Distributions
- Binomial distributions
- Normal distributions
- Poisson distributons
Hypotheses testing
- Spearmans Rank
- Chi Squared Independence
- Chi Squared Goodness of Fit
- t-tests
Calculus
Differentiation Introduction
- Simple differentiation
- Tangents and normals
Differentation Techniques
- Chain rule
- Product rule
- Quotient rule
Stationary Points
- Local maximum and minimum
- Optimization
- Inflextion and concavity
Integration and Area
- Anti-differentiation
- Definite integration
- Bounded area
- Trapeziodal rule
Integration Substitution
- Substitution
Volumes
- About the x-axis
- About the y-axis
- Bounded volume
Kinetics
- Kinetics
Differential Equations
- Seperating variables
- Rates of Change
- Eulers method
- Coupled differential equations