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Cursusbibliotheek
Verken het leerboek van de toekomst

GeometrieGetallen en AlgebraWaarschijnlijkheid en toepassingen

Middelbare school

Euclidean Geometry

IntroductionEuclid’s AxiomsRuler and Compass Construction
Even More Constructions
In opbouw
Angles and Proofs
In opbouw
Origami and Paper Folding

Transformations and Symmetry

IntroductionRigid Transformations
Congruence
In opbouw
SymmetrySymmetry Groups and WallpapersSymmetry in PhysicsDilations
Similarity
In opbouw

Triangles and Trigonometry

IntroductionProperties of Triangles
Midsegments and Similarity
In opbouw
Triangle CongruencePythagoras’ Theorem
Isosceles and Equilateral Triangles
In opbouw
TrigonometrySine and Cosine Rules

Polygons and Polyhedra

PolygonsQuadrilateralsTessellationsPolyhedra
Nets and Cross Sections
In opbouw
Platonic Solids

Middelbare school

Circles and Pi

IntroductionDegrees and RadiansTangents, Chords and Arcs
The Circle Theorems
In opbouw
Cyclic Polygons
In opbouw
Spheres, Cones and CylindersConic Sections

Non-Euclidean Geometry

Spherical GeometryMap ProjectionsHyperbolic GeometryMetric SpacesTopology
Higher Dimensions
In opbouw

Fractals

IntroductionThe Sierpinski TriangleThe Mandelbrot Set
Space Filling Curves
In opbouw

Middelbare school

Divisibility and Primes

Factors and MultiplesDivisibility RulesPrime NumbersThe Distribution of PrimesLowest Common MultiplesGreatest Common Factors

Sequences and Patterns

IntroductionArithmetic and Geometric SequencesFigurate Numbers
Sequences as Functions
In opbouw
Fibonacci NumbersSpecial SequencesPascal’s Triangle
Limits and Convergence
In opbouw

Quadratic Equations

Introduction
Binomial Expressions
In opbouw
Solving Quadratic Equations
In opbouw
The Quadratic Formula
In opbouw
Graphing Quadratics
In opbouw
Projectile Motion
In opbouw
More Applications
In opbouw

Middelbare school

Exponential Functions

Carbon Dating
Exponential Growth and Decay
In opbouw
Comparing Models
In opbouw
Compound Interest
In opbouw
Population Dynamics
In opbouw

Logic, Sets and Proof

Logic and ParadoxesAxioms and ProofProof by InductionInfinity and Hilbert’s Hotel

Middelbare school

Probability

Introduction
Probability Trees and Venn Diagrams
In opbouw
Conditional Probability
In opbouw
The Monty Hall Problem
The Birthday Problem
In opbouw
True Randomness

Statistics and Data

Casino Mathematics
Data Visualisation
In opbouw
Center and Spread of Data
In opbouw
Sampling and Estimation
In opbouw
The Wisdom of Crowds
In opbouw
Linear Models
In opbouw

Combinatorics

FactorialsPermutationsCombinations

Middelbare school

Graphs and Networks

IntroductionThe Bridges of KönigsbergHandshakes and DatingPlanar GraphsMap ColouringThe Travelling Salesman Problem
Scheduling Problems
In opbouw
Graphs in Everyday Life

Codes and Ciphers

Introduction
Binary Numbers
In opbouw
Error Detection
In opbouw
Secret Codes
In opbouw
The Enigma
In opbouw
Public Key Cryptography
In opbouw

Game Theory

The Prisoners’ Dilemma
Cards, Coins and Dice
In opbouw
The Winning Move
Random Walks
In opbouw

Chaos Theory

Introduction
Mathematical Billiard
In opbouw
The Three Body Problem
In opbouw
Phase Space and Strange Attractors
In opbouw
The Logistic Map
In opbouw