Knjižnica tečajeva

Brojevi i aritmetika

The Integers

Commutative, Associative and Distributive LawsDolazi uskoro
Order of OperationsDolazi uskoro
The Number LineDolazi uskoro
Arithmetic with Negative NumbersDolazi uskoro
Properties of ZeroDolazi uskoro
Absolute ValueDolazi uskoro
Place ValueDolazi uskoro

Fractions

IntroductionDolazi uskoro
Simplifying and Expanding FractionsDolazi uskoro
Adding and Subtracting FractionsDolazi uskoro
Multiplying and Dividing FractionsDolazi uskoro
Mixed NumbersDolazi uskoro

Decimals

IntroductionDolazi uskoro
Adding and Subtracting DecimalsDolazi uskoro
Ordering DecimalsDolazi uskoro
Multiplying DecimalsDolazi uskoro
Dividing DecimalsDolazi uskoro
Converting Decimals and FractionsDolazi uskoro
RoundingDolazi uskoro

Rates, Percentages and Ratios

Ratios and MixturesDolazi uskoro
PercentagesDolazi uskoro
Percentage Increase and DecreaseDolazi uskoro
InterestDolazi uskoro
Ratios and RatesDolazi uskoro

Roots and Exponents

Square and Cube RootsDolazi uskoro
Rational and Irrational NumbersDolazi uskoro
Powers and ExponentsDolazi uskoro
Large and Small NumbersDolazi uskoro
Scientific NotationDolazi uskoro

Jednadžbe i funkcije

Introduction to Algebra

IntroductionDolazi uskoro
Constants and VariablesDolazi uskoro
Manipulating ExpressionsDolazi uskoro
ModellingDolazi uskoro

Proportional Relationships

IntroductionDolazi uskoro
Direct and Inverse ProportionDolazi uskoro
Graphing Proportional RelationshipsDolazi uskoro
Constant of ProportionalityDolazi uskoro

Linear Equations

Reasoning with Tape DiagramsDolazi uskoro
Weighing and BalancingDolazi uskoro
Manipulating EquationsDolazi uskoro
Solving Linear EquationsDolazi uskoro
InequalitiesDolazi uskoro

Linear Functions

Input and OutputDolazi uskoro
Graphing FunctionsDolazi uskoro
Slope and InterceptDolazi uskoro
Parallel and Perpendicular LinesDolazi uskoro
Linear FunctionsDolazi uskoro
Piecewise Functions and Systems of EquationsDolazi uskoro

Geometrija

Area and Shapes

IntroductionDolazi uskoro
Parallelograms and TrianglesDolazi uskoro
PolygonsDolazi uskoro
Circles and CircumferencesDolazi uskoro
Area of CirclesDolazi uskoro

Angles and Polygons

AnglesDolazi uskoro
Angles in PolygonsDolazi uskoro
Drawing Triangles
Pythagoras’ TheoremDolazi uskoro
The Coordinate PlaneDolazi uskoro
Transformations and CongruenceDolazi uskoro

3D Solids

PolyhedraDolazi uskoro
Nets and Surface AreaDolazi uskoro
Volumes and CuboidsDolazi uskoro
Prisms and PyramidsDolazi uskoro
Cylinders and ConesDolazi uskoro
SpheresDolazi uskoro

Units and Measuring

MeasuringDolazi uskoro
Units and ConversionDolazi uskoro
Scale DrawingsDolazi uskoro
Scaling and DimensionsDolazi uskoro
EstimationDolazi uskoro

Vjerojatnost i statistika

Introduction to Probability

IntroductionDolazi uskoro
Coins, Cards and DiceDolazi uskoro
Multi-Step ExperimentsDolazi uskoro
Designing SimulationsDolazi uskoro

Data and Statistics

IntroductionDolazi uskoro
Dot Plots and HistogramsDolazi uskoro
Box PlotsDolazi uskoro
Mean, Median and ModeDolazi uskoro
SamplingDolazi uskoro
Comparing PopulationsDolazi uskoro
Scatter Plots and Linear ModelsDolazi uskoro

Geometrija

Euclidean Geometry

IntroductionEuclid’s AxiomsRuler and Compass Construction
Even More ConstructionsDolazi uskoro
Angles and ProofsDolazi uskoro
Origami and Paper Folding

Transformations and Symmetry

IntroductionRigid Transformations
CongruenceDolazi uskoro
SymmetrySymmetry Groups and WallpapersSymmetry in PhysicsDilations
SimilarityDolazi uskoro

Triangles and Trigonometry

IntroductionProperties of Triangles
Midsegments and SimilarityDolazi uskoro
Triangle CongruencePythagoras’ Theorem
Isosceles and Equilateral TrianglesDolazi uskoro
TrigonometrySine and Cosine Rules

Polygons and Polyhedra

PolygonsQuadrilateralsTessellationsPolyhedra
Nets and Cross SectionsDolazi uskoro
Prisms and PyramidsDolazi uskoro
Scaling Shapes and SolidsDolazi uskoro
Platonic Solids

Circles and Pi

IntroductionDegrees and RadiansTangents, Chords and Arcs
The Circle TheoremsDolazi uskoro
Cyclic PolygonsDolazi uskoro
Spheres, Cones and CylindersConic Sections

Non-Euclidean Geometry

Spherical GeometryMap ProjectionsHyperbolic GeometryMetric SpacesTopology
Higher DimensionsDolazi uskoro

Algebra

Functions

Relations and FunctionsDolazi uskoro
Graphing FunctionsDolazi uskoro
Solving Equations GraphicallyDolazi uskoro
Absolute Value FunctionsDolazi uskoro
Inverse FunctionsDolazi uskoro
Rates of ChangeDolazi uskoro

Sequences and Patterns

IntroductionArithmetic and Geometric SequencesFigurate Numbers
Sequences as FunctionsDolazi uskoro
Fibonacci NumbersSpecial SequencesPascal’s Triangle
Limits and ConvergenceDolazi uskoro

Linear Equations and Inequalities

Solving Linear EquationsDolazi uskoro
Graphing Linear FunctionsDolazi uskoro
Systems of Linear EquationsDolazi uskoro
Row Operations and EliminationDolazi uskoro
Linear InequalitiesDolazi uskoro
Inequalities in Two VariablesDolazi uskoro
Systems of InequalitiesDolazi uskoro

Quadratic Equations

Introduction
Binomial ExpressionsDolazi uskoro
Solving Quadratic EquationsDolazi uskoro
The Quadratic FormulaDolazi uskoro
Graphing QuadraticsDolazi uskoro
Projectile MotionDolazi uskoro
More ApplicationsDolazi uskoro

Exponential Functions

Carbon Dating
Exponential Growth and DecayDolazi uskoro
Comparing ModelsDolazi uskoro
Compound InterestDolazi uskoro
Population DynamicsDolazi uskoro

Vjerojatnost i diskretna matematika

Probability

Introduction
Probability TreesDolazi uskoro
Venn DiagramsDolazi uskoro
Conditional ProbabilityDolazi uskoro
The Monty Hall Problem
The Birthday ProblemDolazi uskoro
True Randomness

Statistics and Data

Casino Mathematics
Data VisualisationDolazi uskoro
Center and Spread of DataDolazi uskoro
Sampling and EstimationDolazi uskoro
Spreadsheets and Frequency TablesDolazi uskoro
Linear ModelsDolazi uskoro
Causation vs CorrelationDolazi uskoro

Codes and Ciphers

IntroductionDolazi uskoro
Binary NumbersDolazi uskoro
Error DetectionDolazi uskoro
Secret CodesDolazi uskoro
The EnigmaDolazi uskoro
Public Key CryptographyDolazi uskoro

Game Theory

The Prisoners’ Dilemma
Cards, Coins and DiceDolazi uskoro
The Winning Move
Random WalksDolazi uskoro

Algebra i analiza

Polynomials

IntroductionDolazi uskoro
Zeros of PolynomialsDolazi uskoro
Sketching Polynomial FunctionsDolazi uskoro
The Factor and Remainder TheoremsDolazi uskoro
Systems of EquationsDolazi uskoro

Function Transformations

Combining and Composing FunctionsDolazi uskoro
Translating FunctionsDolazi uskoro
Reflecting FunctionsDolazi uskoro
Scaling FunctionsDolazi uskoro
Inverse functionsDolazi uskoro

Rationals and Radicals

Rational and Irrational NumbersDolazi uskoro
Rational Functions and ExpressionsDolazi uskoro
Solving Rational EquationsDolazi uskoro
Exponent LawsDolazi uskoro
Radical FunctionsDolazi uskoro
Solving Radical EquationsDolazi uskoro

Exponentials and Logarithms

Exponential Growth and DecayDolazi uskoro
Exponential FunctionsDolazi uskoro
Introduction to LogarithmsDolazi uskoro
Laws of LogarithmsDolazi uskoro
The Number eDolazi uskoro
Logarithmic FunctionsDolazi uskoro

Sequences and Series

SequencesDolazi uskoro
Series and Sigma NotationDolazi uskoro
Arithmetic and Geometric SeriesDolazi uskoro
The Binomial TheoremDolazi uskoro

Geometrija i linearna algebra

Coordinate Geometry

Equations of LinesDolazi uskoro
Parallel and Perpendicular LinesDolazi uskoro
Equations of CirclesDolazi uskoro
Properties of PolygonsDolazi uskoro
TransformationsDolazi uskoro

Trigonometry

The Unit Circle DefinitionDolazi uskoro
Graphs of Trigonometric FunctionsDolazi uskoro
Amplitude, Frequency and TransformationsDolazi uskoro
Pythagorean IdentitiesDolazi uskoro
More Trigonometric IdentitiesDolazi uskoro
Inverse Trigonometric FunctionsDolazi uskoro
Circular MotionDolazi uskoro

Conic Sections and Polar Coordinates

Parametric CurvesDolazi uskoro
Circles and EllipsesDolazi uskoro
ParabolaeDolazi uskoro
HyperbolaeDolazi uskoro
Polar CoordinatesDolazi uskoro

Vectors

IntroductionDolazi uskoro
Vector ArithmeticDolazi uskoro
Scalar Products and Equations of PlanesDolazi uskoro
Cross Products and Equations of LinesDolazi uskoro
Geometry ProblemsDolazi uskoro

Matrices

Matrices as TransformationsDolazi uskoro
Matrix ArithmeticDolazi uskoro
DeterminantsDolazi uskoro
Matrix InversesDolazi uskoro
Cramer’s Rule and Gaussian EliminationDolazi uskoro
Eigenvalues and EigenvectorsDolazi uskoro

Complex Numbers

IntroductionDolazi uskoro
Complex ArithmeticDolazi uskoro
Modulus and ArgumentDolazi uskoro
Quadratic, Cubic and Quartic EquationsDolazi uskoro
Euler’s Identity and De Moivre’s TheoremDolazi uskoro
Complex Roots of UnityDolazi uskoro

Fractals

IntroductionThe Sierpinski TriangleThe Mandelbrot Set
Space Filling CurvesDolazi uskoro

Infinitezimalni račun

Differentiation

IntroductionDolazi uskoro
Limits and GradientsDolazi uskoro
Differentiation Rules IDolazi uskoro
Differentiation Rules IIDolazi uskoro
Optimisation problemsDolazi uskoro

Integration

IntroductionDolazi uskoro
Integration Rules IDolazi uskoro
Integration Rules IIDolazi uskoro
Definite Integrals and Areas under a CurveDolazi uskoro
Numerical IntegrationDolazi uskoro
Improper IntegralsDolazi uskoro
Solids of RevolutionDolazi uskoro

Numerical Methods

Solving Equations NumericallyDolazi uskoro
The Newton­-Raphson MethodDolazi uskoro
Maclaurin and Taylor seriesDolazi uskoro

Differential Equations

Simple Differential EquationsDolazi uskoro
First Order Separable EquationsDolazi uskoro
Second Order Differential EquationsDolazi uskoro
Homogenous Equations and Particular IntegralsDolazi uskoro
Simple Harmonic MotionDolazi uskoro
Coupled Differential EquationsDolazi uskoro

Chaos Theory

Introduction
Mathematical BilliardDolazi uskoro
The Three Body ProblemDolazi uskoro
Phase Space and Strange AttractorsDolazi uskoro
The Logistic MapDolazi uskoro

Vjerojatnost i statistika

Advanced Probability

IntroductionDolazi uskoro
Discrete Random VariablesDolazi uskoro
The Normal DistributionDolazi uskoro
Binomial and Poisson DistributionDolazi uskoro
Continuous Random VariablesDolazi uskoro
Random WalksDolazi uskoro

Statistics and Hypothesis Tests

Data RepresentationDolazi uskoro
Experiments and SamplingDolazi uskoro
Hypothesis TestsDolazi uskoro
Estimation and Confidence IntervalsDolazi uskoro
The Law of Large Numbers and Central Limit TheoremDolazi uskoro
Chi Squared Tests and Correlation CoefficientsDolazi uskoro
Bayesian StatisticsDolazi uskoro

Algorithms

Introduction to ComputingDolazi uskoro
Complexity and O NotationDolazi uskoro
Sorting AlgorithmsDolazi uskoro
Linear Programming and the Simplex AlgorithmDolazi uskoro
Graphs, Trees and NetworksDolazi uskoro

Machine Learning

IntroductionDolazi uskoro
Linear RegressionDolazi uskoro
Support Vector MachinesDolazi uskoro
Neural NetworksDolazi uskoro
Unsupervised LearningDolazi uskoro
Tensor FlowDolazi uskoro