# Most recent 249 articles

### Aug 2024

### Jul 2024

- Improper integrals
- De Moivre's theorem
- Factors of a prime squared minus 1
- Challenging problems
- Continuous uniform distribution
- Integration by parts
- The pi function
- Differentiation - derivative of an inverse function

### Jun 2024

- Area under a polar function
- Statistics overview
- Special functions
- Finding arc length by integration
- Permutation matrices and graphs
- Proof that e is irrational

### May 2024

- Sleeping Beauty problem
- Writing a maths book in LaTeX
- Tools
- Combining and inverting transform matrices
- Fundamental theorem of calculus
- Diagonalising matrices

### 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

## Join the GraphicMaths Newletter

Sign up using this form to receive an email when new content is added:

## Popular tags

adder adjacency matrix alu and gate angle area argand diagram binary maths cartesian equation chain rule chord circle cofactor combinations complex modulus complex polygon complex power complex root cosh cosine cosine rule cpu cube decagon demorgans law derivative determinant diagonal directrix dodecagon eigenvalue eigenvector ellipse equilateral triangle euler eulers formula exponent exponential exterior angle first principles flip-flop focus gabriels horn gradient graph hendecagon heptagon hexagon horizontal hyperbola hyperbolic function hyperbolic functions infinity integration by parts integration by substitution interior angle inverse hyperbolic function inverse matrix irrational irregular polygon isosceles trapezium isosceles triangle kite koch curve l system line integral locus maclaurin series major axis matrix matrix algebra mean minor axis nand gate newton raphson method nonagon nor gate normal normal distribution not gate octagon or gate parabola parallelogram parametric equation pentagon perimeter permutations polar coordinates polynomial power probability probability distribution product rule proof pythagoras proof quadrilateral radians radius rectangle regular polygon rhombus root sech set set-reset flip-flop sine sine rule sinh sloping lines solving equations solving triangles square standard curves standard deviation star polygon statistics straight line graphs surface of revolution symmetry tangent tanh transformation transformations trapezium triangle turtle graphics variance vertical volume of revolution xnor gate xor gate