All articles (244)



A

  1. A Level and beyond
  2. About
  3. Adjacency matrices
  4. Advanced trigonometry
  5. Angle at the centre of a circle is twice the angle at the circumference
  6. Angle in a semicircle is 90 degrees
  7. Angles in the same segment of a circle are equal
  8. Area and circumference of circles
  9. Area and perimeter
  10. Area and perimeter of quadrilaterals
  11. Area and perimeter of triangles
  12. Argand diagrams
  13. arcosh function
  14. arsinh function
  15. artanh function

B

  1. Bayes' theorem
  2. Bifurcation and chaos
  3. Binary addition, subtraction and negative numbers
  4. Binary numbers
  5. Binary numbers
  6. Binomial distribution
  7. Boolean algebra

C

  1. Calculating a Maclaurin series
  2. Cantor set
  3. Cartesian equation of a parabola
  4. Cartesian equation of a rectangular hyperbola
  5. Cartesian equation of ellipse
  6. Cartesian product
  7. Circle geometry
  8. Coin rotation paradox
  9. Collage theorem
  10. Combinations
  11. Combining and inverting transform matrices
  12. Combining logic gates
  13. Complex number arithmetic
  14. Complex number trigonometry functions
  15. Complex numbers
  16. Complex polynomials
  17. Complex powers and roots of complex numbers
  18. Computer science
  19. Congruent and similar shapes
  20. Congruent shapes
  21. Congruent triangles
  22. Coordinate systems
  23. Cosine rule
  24. Countable and uncountable sets
  25. Creating a subtractor with logic gates
  26. Creating an adder with logic gates
  27. Cube
  28. Cube surface area and net
  29. cosech function
  30. cosh function
  31. coth function

D

  1. D-type flip-flops
  2. De Moivre's theorem
  3. Decagons - polygons with 10 sides
  4. Derivative of sine, geometric proof
  5. Derivative of the exponential function
  6. Determinants
  7. Diagonalising matrices
  8. Differentiation
  9. Differentiation - L'Hôpital's rule
  10. Differentiation - derivative of an inverse function
  11. Differentiation - the chain rule
  12. Differentiation - the product rule
  13. Differentiation - the quotient rule
  14. Differentiation from first principles - a to the power x
  15. Differentiation from first principles - x²
  16. Dijkstra's algorithm
  17. Dodecagons - polygons with 12 sides
  18. Downloadable classroom resources
  19. Drawing Sierpinski triangles
  20. Drunk man and keys problem

E

  1. Einstein's proof of Pythagoras' theorem
  2. Ellipses
  3. Error page not found
  4. Escape-time fractals
  5. Euler's formula - proof
  6. Exponential and logarithm functions

F

  1. Factorials
  2. Finding arc length by integration
  3. Formula for e
  4. Fractal dimension of self-similar fractals
  5. Fractals
  6. Fractals
  7. Fundamental theorem of calculus

G

  1. GCSE
  2. GCSE graphs
  3. GCSE measures
  4. Gabriel's horn
  5. Geometry
  6. Geometry basic rules
  7. Gradient of a line
  8. Graph theory
  9. GraphicMaths
  10. Graphs
  11. Graphs of exponential functions
  12. Graphs of sloping lines through the origin
  13. Greatest common divisor (GCD) of two numbers

H

  1. Hendecagons - polygons with 11 sides
  2. Heptagons - polygons with 7 sides
  3. Hexagons - polygons with 6 sides
  4. Horizontal, vertical and diagonal straight line graphs
  5. Hyperbolas
  6. Hyperbolic angle
  7. Hyperbolic functions

I

  1. Imaginary and complex numbers
  2. Integration
  3. Integration by parts
  4. Integration by parts - LIATE rule
  5. Integration by substitution
  6. Interior and exterior angles of a polygon
  7. Introduction to Fractals
  8. Introduction to eigenvectors
  9. Introduction to statistics
  10. i to the power i

K

  1. Koch snowflake

L

  1. L system Koch curve
  2. L system trees and ferns
  3. L systems
  4. Lexicographic order
  5. Line symmetry
  6. Loci
  7. Locus of points a fixed distance from a given line
  8. Locus of points a fixed distance from a given point
  9. Locus of points an equal distance between 2 lines
  10. Locus of points an equal distance between 2 points
  11. Logic
  12. Logic gates
  13. Lowest common multiple (LCM) of two numbers

M

  1. Maclaurin and Taylor series
  2. Maclaurin series of the exponential function
  3. Maclaurin series of the sine function
  4. Mathematical models in mechanics
  5. Matrices
  6. Matrix inverse
  7. Mean value theorem for integrals
  8. Mechanics
  9. Modulus-argument form of complex numbers
  10. Monty Hall problem
  11. More quadrilaterals

N

  1. Negative and fractional exponents
  2. Newton Fractal
  3. Nonagons - polygons with 9 sides
  4. Normal distribution
  5. Number theory
  6. Numerical integration
  7. Numerical methods
  8. n-gons - polygons with any number of sides

O

  1. Octagons - polygons with 8 sides
  2. Opposite angles in a cyclic quadrilateral add up to 180°
  3. Other types of polygon

P

  1. Painter's paradox
  2. Parabola example
  3. Parabola focus and directrix
  4. Parabolas
  5. Parabolas - effect of parameter 'a'
  6. Paradoxes
  7. Parallel lines
  8. Parametric equation of ellipse
  9. Parametric equations
  10. Parts of a circle
  11. Pentagons - polygons with 5 sides
  12. Permutation matrices and graphs
  13. Permutations
  14. Permutations and combinations
  15. Perpendicular bisector of a chord
  16. Pi isn't about circles
  17. Pigeonhole principle
  18. Polar coordinates
  19. Polar curve constant r
  20. Polar curve constant theta
  21. Polar curve r proportional to theta
  22. Polygons
  23. Potato paradox
  24. Prime factors of a number
  25. Probability
  26. Probability distributions
  27. Proof that e is irrational
  28. Pure mathematics
  29. Pythagoras
  30. Pythagoras' theorem
  31. Pythagoras' theorem proof
  32. Pythagorean triples

Q

  1. Quadrilateral family tree
  2. Quadrilaterals

R

  1. Radians
  2. Raven paradox
  3. Recreational maths
  4. Rectangular hyperbola example
  5. Regular polygons
  6. Regular tessellations
  7. Root 2 is irrational - proof by prime factors
  8. Rotational symmetry
  9. Rules of exponents
  10. Russell's paradox

S

  1. Second derivative and sketching curves
  2. Semiprocal numbers - z to the power i
  3. Set theory
  4. Similar shapes
  5. Similar triangles
  6. Similar triangles proof
  7. Simple flip-flops
  8. Sine rule
  9. Sleeping Beauty problem
  10. Slope of a curve
  11. Solving equations numerically
  12. Solving equations using interval bisection
  13. Solving equations using linear interpolation
  14. Solving equations using the Newton-Raphson method
  15. Solving simultaneous equations with matrices
  16. Standard curves in polar coordinates
  17. Star polygons
  18. Statistics
  19. Statistics overview
  20. Straight line graphs
  21. Surprise exam paradox
  22. sech function
  23. sinh function

T

  1. Tangent and radius of a circle meet at 90°
  2. Tessellations and symmetry
  3. The seven bridges of Königsberg
  4. Tools
  5. Transformations
  6. Translation
  7. Travelling salesman problem
  8. Triangles
  9. Trigonometry
  10. Trigonometry and Pythagoras
  11. Trinary numbers
  12. Two radii form an isosceles triangle
  13. Two tangents from a point have equal length
  14. tanh function

V

  1. Videos

W

  1. What is a matrix?
  2. What is e?
  3. What is integration
  4. Why are the trig functions called sine, cosine and tangent?
  5. Why does complex number multiplication cause rotation?
  6. Writing a maths book in LaTeX

Z

  1. Zermelo-Fraenkel set theory

Other

  1. 2 to the power π - exponential function for an irrational value of x
  2. 2D transformation matrices
  3. 3D geometry


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