Biblioteca de cursos
Números e aritmética
The Integers
Commutative, Associative and Distributive LawsEm breve
Order of OperationsEm breve
The Number LineEm breve
Arithmetic with Negative NumbersEm breve
Properties of ZeroEm breve
Absolute ValueEm breve
Place ValueEm breve
Divisibility and Primes
Fractions
IntroductionEm breve
Fraction ArithmeticEm breve
Mixed NumbersEm breve
Dividing FractionsEm breve
Decimals
IntroductionEm breve
Adding and Subtracting DecimalsEm breve
Ordering DecimalsEm breve
Multiplying and Dividing DecimalsEm breve
Converting Decimals and FractionsEm breve
RoundingEm breve
Rates, Percentages and Ratios
Ratios and MixturesEm breve
PercentagesEm breve
Percentage Increase and DecreaseEm breve
InterestEm breve
Ratios and RatesEm breve
Roots and Exponents
Square and Cube RootsEm breve
Rational and Irrational NumbersEm breve
Powers and ExponentsEm breve
Large and Small NumbersEm breve
Scientific NotationEm breve
Equações e Funções
Introduction to Algebra
IntroductionEm breve
Constants and VariablesEm breve
Manipulating ExpressionsEm breve
ModellingEm breve
Proportional Relationships
IntroductionEm breve
Direct and Inverse ProportionEm breve
Graphing Proportional RelationshipsEm breve
Constant of ProportionalityEm breve
Linear Equations
Reasoning with Tape DiagramsEm breve
Weighing and BalancingEm breve
Manipulating EquationsEm breve
Solving Linear EquationsEm breve
InequalitiesEm breve
Linear Functions
Input and OutputEm breve
Graphing FunctionsEm breve
Slope and InterceptEm breve
Parallel and Perpendicular LinesEm breve
Linear FunctionsEm breve
Piecewise Functions and Systems of EquationsEm breve
Geometria
Area and Shapes
IntroductionEm breve
Parallelograms and TrianglesEm breve
PolygonsEm breve
Circles and CircumferencesEm breve
Area of CirclesEm breve
Angles and Polygons
AnglesEm breve
Angles in PolygonsEm breve
Pythagoras’ TheoremEm breve
The Coordinate PlaneEm breve
Transformations and CongruenceEm breve
3D Solids
IntroductionEm breve
Nets and Surface AreaEm breve
Prisms and PyramidsEm breve
Cylinders and ConesEm breve
SpheresEm breve
Units and Measuring
MeasuringEm breve
Units and ConversionEm breve
Scale DrawingsEm breve
Scaling and DimensionsEm breve
EstimationEm breve
Probabilidade e Estatística
Introduction to Probability
IntroductionEm breve
Computing ProbabilitiesEm breve
Probability TreesEm breve
Venn DiagramsEm breve
Data and Statistics
IntroductionEm breve
Center and SpreadEm breve
Visualising DataEm breve
SamplingEm breve
Scatter Plots and Linear ModelsEm breve
Geometria
Euclidean Geometry
Even More ConstructionsEm breve
Angles and ProofsEm breve
Transformações e simetria
CongruênciaEm breve
SimilaridadeEm breve
Triangles and Trigonometry
Midsegments and SimilarityEm breve
Isosceles and Equilateral TrianglesEm breve
Polígonos e Poliedros
Redes e Seções TransversaisEm breve
Prismas e pirâmidesEm breve
Escalando formas e sólidosEm breve
Círculos e Pi
Os Teoremas do CírculoEm breve
Polígonos CíclicosEm breve
Non-Euclidean Geometry
Higher DimensionsEm breve
Álgebra
Functions
Relations and FunctionsEm breve
Graphing and Interpreting FunctionsEm breve
Linear Functions and EquationsEm breve
Piecewise FunctionsEm breve
Absolute Value FunctionsEm breve
Inverse FunctionsEm breve
Rates of ChangeEm breve
Sequências e padrões
Sequências como funçõesEm breve
limites e convergênciaEm breve
Quadratic Equations
Binomial ExpressionsEm breve
Solving Quadratic EquationsEm breve
The Quadratic FormulaEm breve
Graphing QuadraticsEm breve
Projectile MotionEm breve
More ApplicationsEm breve
Inequalities and Systems of Equations
Systems of Linear EquationsEm breve
Row Operations and EliminationEm breve
Linear InequalitiesEm breve
Systems of InequalitiesEm breve
Quadratic InequalitiesEm breve
Exponential Functions
Exponential Growth and DecayEm breve
Comparing ModelsEm breve
Compound InterestEm breve
Population DynamicsEm breve
Probabilidade e Matemática Discreta
Probability
Probability Trees and Venn DiagramsEm breve
Conditional ProbabilityEm breve
The Birthday ProblemEm breve
Statistics and Data
Data VisualisationEm breve
Center and Spread of DataEm breve
Sampling and EstimationEm breve
Spreadsheets and Frequency TablesEm breve
Linear ModelsEm breve
Grafos e Redes
Problemas de agendamentoEm breve
Codes and Ciphers
Binary NumbersEm breve
Error DetectionEm breve
Secret CodesEm breve
The EnigmaEm breve
Public Key CryptographyEm breve
Álgebra e Análise
Polynomials
IntroductionEm breve
Zeros of PolynomialsEm breve
Sketching Polynomial FunctionsEm breve
The Factor and Remainder TheoremsEm breve
Systems of EquationsEm breve
Function Transformations
Combining and Composing FunctionsEm breve
Translating FunctionsEm breve
Reflecting FunctionsEm breve
Scaling FunctionsEm breve
Inverse functionsEm breve
Rationals and Radicals
Rational and Irrational NumbersEm breve
Rational Functions and ExpressionsEm breve
Solving Rational EquationsEm breve
Exponent LawsEm breve
Radical FunctionsEm breve
Solving Radical EquationsEm breve
Exponentials and Logarithms
Exponential Growth and DecayEm breve
Exponential FunctionsEm breve
Introduction to LogarithmsEm breve
Laws of LogarithmsEm breve
The Number eEm breve
Logarithmic FunctionsEm breve
Sequences and Series
SequencesEm breve
Series and Sigma NotationEm breve
Arithmetic and Geometric SeriesEm breve
The Binomial TheoremEm breve
Logic, Sets and Proof
Geometria e Álgebra Linear
Coordinate Geometry
Equations of LinesEm breve
Parallel and Perpendicular LinesEm breve
Equations of CirclesEm breve
Properties of PolygonsEm breve
TransformationsEm breve
Trigonometry
The Unit Circle DefinitionEm breve
Graphs of Trigonometric FunctionsEm breve
Amplitude, Frequency and TransformationsEm breve
Pythagorean IdentitiesEm breve
More Trigonometric IdentitiesEm breve
Inverse Trigonometric FunctionsEm breve
Circular MotionEm breve
Conic Sections and Polar Coordinates
Parametric CurvesEm breve
Circles and EllipsesEm breve
ParabolaeEm breve
HyperbolaeEm breve
Polar CoordinatesEm breve
Vectors
IntroductionEm breve
Vector ArithmeticEm breve
Scalar Products and Equations of PlanesEm breve
Cross Products and Equations of LinesEm breve
Geometry ProblemsEm breve
Matrices
Matrices as TransformationsEm breve
Matrix ArithmeticEm breve
DeterminantsEm breve
Matrix InversesEm breve
Cramer’s Rule and Gaussian EliminationEm breve
Eigenvalues and EigenvectorsEm breve
Complex Numbers
IntroductionEm breve
Complex ArithmeticEm breve
Quadratic, Cubic and Quartic EquationsEm breve
Euler’s IdentityEm breve
De Moivre’s Theorem and Roots of UnityEm breve
Fractais
Curvas de preenchimento de espaçoEm breve
Cálculo
Differentiation
IntroductionEm breve
Limits and GradientsEm breve
Differentiation Rules IEm breve
Differentiation Rules IIEm breve
Optimisation problemsEm breve
Integration
IntroductionEm breve
Integration RulesEm breve
Definite Integrals and Areas under a CurveEm breve
Improper IntegralsEm breve
Solids of RevolutionEm breve
Numerical Methods
Solving Equations NumericallyEm breve
The Newton-Raphson MethodEm breve
Numerical IntegrationEm breve
Maclaurin and Taylor seriesEm breve
Differential Equations
Simple Differential EquationsEm breve
First Order Separable EquationsEm breve
Second Order Differential EquationsEm breve
Homogenous Equations and Particular IntegralsEm breve
Simple Harmonic MotionEm breve
Coupled Differential EquationsEm breve
Chaos Theory
Mathematical BilliardEm breve
The Three Body ProblemEm breve
Phase Space and Strange AttractorsEm breve
The Logistic MapEm breve
Probabilidade e Estatística
Random Variables
IntroductionEm breve
Discrete Random VariablesEm breve
Binomial and Poisson DistributionEm breve
Continuous Random VariablesEm breve
The Normal DistributionEm breve
The Central Limit TheoremEm breve
Statistics and Hypothesis Tests
Sampling and EstimationEm breve
Hypothesis Tests and Confidence IntervalsEm breve
Linear Models and Correlation CoefficientsEm breve
Contingency tables and Chi Squared TestsEm breve
Bayesian StatisticsEm breve
Algorithms
Introduction to ComputingEm breve
Complexity and O NotationEm breve
Sorting AlgorithmsEm breve
Linear Programming and the Simplex AlgorithmEm breve
Graphs, Trees and NetworksEm breve
Machine Learning
IntroductionEm breve
Linear RegressionEm breve
Support Vector MachinesEm breve
Neural NetworksEm breve
Unsupervised LearningEm breve
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