# Most recent 230 articles

### May 2024

### Apr 2024

- Binomial distribution
- Introduction to eigenvectors
- Probability distributions
- Normal distribution
- Downloadable classroom resources

### Mar 2024

- Russell's paradox
- Introduction to statistics
- Solving simultaneous equations with matrices
- Creating a subtractor with logic gates
- Complex number trigonometry functions
- Root 2 is irrational - proof by prime factors

### Feb 2024

- Fractal dimension of self-similar fractals
- Introduction to Fractals
- Koch snowflake
- Gabriel's horn
- Mean value theorem for integrals

### Jan 2024

- Coin rotation paradox
- Second derivative and sketching curves
- Complex polynomials
- Raven paradox
- L system Koch curve
- Boolean algebra
- 2D transformation matrices
- Imaginary and complex numbers

### Dec 2023

- Differentiation - L'Hôpital's rule
- Potato paradox
- Matrix inverse
- Differentiation from first principles - a to the power x
- Integration by substitution
- D-type flip-flops

### Nov 2023

- Determinants
- Painter's paradox
- What is integration
- Integration
- Travelling salesman problem
- Differentiation - the quotient rule
- Semiprocal numbers - z to the power i
- Simple flip-flops
- Bayes' theorem
- Probability

### Oct 2023

- Bifurcation and chaos
- Creating an adder with logic gates
- What is a matrix?
- Matrices
- Pi isn't about circles
- Dijkstra's algorithm
- Combining logic gates
- Complex powers and roots of complex numbers
- The seven bridges of Königsberg

### Sep 2023

- Binary addition, subtraction and negative numbers
- Differentiation - the chain rule
- Drunk man and keys problem
- Hyperbolic angle
- Logic
- Logic gates
- Euler's formula - proof
- Trinary numbers
- Cantor set
- Derivative of sine, geometric proof

### Aug 2023

- Binary numbers
- Binary numbers
- Adjacency matrices
- Countable and uncountable sets
- Set theory
- i to the power i
- Differentiation - the product rule

### Jul 2023

- Modulus-argument form of complex numbers
- Pigeonhole principle
- Angles in the same segment of a circle are equal
- Argand diagrams
- Pythagorean triples

### Jun 2023

- A Level and beyond
- Recreational maths
- Monty Hall problem
- Paradoxes
- Drawing Sierpinski triangles
- Fractals
- L system trees and ferns
- L systems

### May 2023

- Opposite angles in a cyclic quadrilateral add up to 180°
- Collage theorem
- Computer science
- Graphs
- Graph theory
- Why does complex number multiplication cause rotation?
- Regular tessellations

### Apr 2023

- Fractals
- Newton Fractal
- Escape-time fractals
- Why are the trig functions called sine, cosine and tangent?
- Differentiation from first principles - x²

### Mar 2023

- Slope of a curve
- Differentiation
- 2 to the power π - exponential function for an irrational value of x
- Similar triangles proof
- Cosine rule
- Similar triangles

### Feb 2023

- Similar shapes
- Einstein's proof of Pythagoras' theorem
- Angle at the centre of a circle is twice the angle at the circumference
- Rules of exponents
- Graphs of exponential functions
- Negative and fractional exponents

### Jan 2023

- Parabola focus and directrix
- Two radii form an isosceles triangle
- Pythagoras' theorem proof
- Pythagoras
- Pythagoras' theorem
- Rotational symmetry
- Angle in a semicircle is 90 degrees

### Dec 2022

- Cube
- Two tangents from a point have equal length
- Congruent triangles
- Congruent and similar shapes
- Congruent shapes
- Tangent and radius of a circle meet at 90°

### Nov 2022

- Line symmetry
- Tessellations and symmetry
- GCSE measures
- Quadrilateral family tree
- Area and perimeter of quadrilaterals
- Maclaurin series of the sine function
- Maclaurin series of the exponential function
- Calculating a Maclaurin series
- Quadrilaterals
- n-gons - polygons with any number of sides
- GraphicMaths
- Area and circumference of circles

### Oct 2022

- Area and perimeter of triangles
- Area and perimeter
- Star polygons
- Other types of polygon
- Triangles
- Hendecagons - polygons with 11 sides
- Dodecagons - polygons with 12 sides
- Hexagons - polygons with 6 sides
- Decagons - polygons with 10 sides
- Octagons - polygons with 8 sides
- Pentagons - polygons with 5 sides
- Nonagons - polygons with 9 sides
- Heptagons - polygons with 7 sides

### Sep 2022

### Aug 2022

- Solving equations using the Newton-Raphson method
- Derivative of the exponential function
- Formula for e
- What is e?

### May 2022

- Gradient of a line
- Graphs of sloping lines through the origin
- GCSE graphs
- Horizontal, vertical and diagonal straight line graphs
- Straight line graphs
- Videos
- Trigonometry

### Apr 2022

### Jan 2022

- Complex number arithmetic
- Complex numbers
- Exponential and logarithm functions
- Lowest common multiple (LCM) of two numbers
- Greatest common divisor (GCD) of two numbers
- Prime factors of a number
- Number theory
- Maclaurin and Taylor series
- Radians
- Advanced trigonometry

### Nov 2021

### Oct 2021

### Apr 2021

### Mar 2021

### Feb 2021

### Jan 2021

### Sep 2020

- Polar curve constant r
- Polar curve constant theta
- Polar curve r proportional to theta
- Polar coordinates
- Standard curves in polar coordinates
- Parametric equation of ellipse
- Cartesian equation of ellipse
- Ellipses
- Hyperbolas
- Parabolas - effect of parameter 'a'
- Cartesian equation of a rectangular hyperbola
- Parametric equations
- Parabolas
- Cartesian equation of a parabola
- Parabola example
- Coordinate systems
- Rectangular hyperbola example
- tanh function
- cosh function
- sinh function
- Hyperbolic functions

### Aug 2020

- Transformations
- Locus of points a fixed distance from a given line
- Locus of points an equal distance between 2 lines
- Loci
- Locus of points a fixed distance from a given point
- Locus of points an equal distance between 2 points
- Perpendicular bisector of a chord
- Parallel lines
- More quadrilaterals
- Error page not found
- Polygons
- Circle geometry
- Geometry
- GCSE

### Mar 2020

### Feb 2020

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