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Mathematics diagram templates
Graphs, automata, Venn, set theory, lattices, function plots.
Math — Integrals of Trig Functions
Common trigonometric antiderivatives.
LaTeX (KaTeX)Math — Sum-to-Product Identities
Sum-to-product and product-to-sum trigonometric identities.
LaTeX (KaTeX)Math — Convergence Tests
Ratio test, p-series and the n-th term test.
LaTeX (KaTeX)Math — Counting & Combinatorics
Permutations, combinations, Pascal's rule and multinomials.
LaTeX (KaTeX)Math — Scalar & Vector Triple Products
Scalar triple product as a determinant and the BAC–CAB rule.
LaTeX (KaTeX)Math — Differential Equations
Linear first-order, exponential growth and the auxiliary equation.
LaTeX (KaTeX)Math — Polar Coordinates
Conversions, polar area and arc length.
LaTeX (KaTeX)Math — Methods of Proof
The main techniques of mathematical proof.
Graphviz (DOT)Math — Probability Tree
A two-stage tree of conditional outcomes.
Graphviz (DOT)Math — Types of Data
Classifying statistical data.
Graphviz (DOT)Math — Types of Data
Qualitative vs quantitative, discrete vs continuous.
Venn / EulerMath — Transformation Matrices
Rotation, reflection and scaling matrices in the plane.
LaTeX (KaTeX)Math — Mean Value & Rolle's Theorem
MVT, Rolle's theorem and the mean value of an integral.
LaTeX (KaTeX)Math — Arc Length, Surface & Volume
Arc length, surface of revolution and solids of revolution.
LaTeX (KaTeX)Math — Double Integrals
Iterated and polar double integrals over a region.
LaTeX (KaTeX)Math — Induction & Standard Sums
The closed forms commonly proved by induction.
LaTeX (KaTeX)Math — Complex Number Forms
Cartesian form, modulus, argument and conjugate.
LaTeX (KaTeX)Math — Angle Relationships
Angle pairs formed by lines and a transversal.
Graphviz (DOT)Math — Classifying Triangles
Triangles classified by sides and by angles.
Graphviz (DOT)Math — Binomial Series
The binomial expansion for any real index.
LaTeX (KaTeX)Math — Sine & Cosine Rules
Solving non-right triangles and triangle area.
LaTeX (KaTeX)Math — Parametric & Implicit Differentiation
Derivatives for parametric and implicit curves.
LaTeX (KaTeX)Math — Vector Calculus Theorems
Green's, Stokes' and the divergence theorems.
LaTeX (KaTeX)Math — Descriptive Statistics
Centre, spread and the interquartile range.
LaTeX (KaTeX)Math — Order of Operations (BODMAS)
The precedence of arithmetic operations.
Graphviz (DOT)Math — 3×3 Determinant & Cramer's Rule
Cofactor expansion, Cramer's rule and the inverse.
LaTeX (KaTeX)Math — Geometric Series
The nth term, partial sums, common ratio and sum to infinity of a geometric series.
LaTeX (KaTeX)Math — Logarithmic & Exponential Equations
Solving equations with logs and exponentials.
LaTeX (KaTeX)Math — Integration Techniques
Parts, substitution, log trick and a standard arctan form.
LaTeX (KaTeX)Math — Hypothesis Testing
z- and t-statistics, decision rule and a confidence interval.
LaTeX (KaTeX)Math — The Statistical Process
The data-handling cycle.
Graphviz (DOT)Math — Uses of Pythagoras & Trig
Choosing between Pythagoras, SOHCAHTOA and the sine/cosine rules.
Graphviz (DOT)Math — Types of Sequence
Arithmetic, geometric and recursive sequences.
LaTeX (KaTeX)Math — Function Transformations
Translations, stretches and reflections of graphs.
LaTeX (KaTeX)Math — Circle Theorems
Key angle theorems in circle geometry.
LaTeX (KaTeX)Math — Stationary Points & Optimisation
Finding and classifying turning points.
LaTeX (KaTeX)Math — Exponential Growth & Decay
Exponential models, half-life and compound interest.
LaTeX (KaTeX)Math — Solving Equations
Picking a method for each equation type.
Graphviz (DOT)Math — Averages & Spread
Measures of central tendency and spread.
Graphviz (DOT)Math — Propositional Logic
De Morgan, implication and distributive laws of logic.
LaTeX (KaTeX)Math — Graph Theory
Handshaking lemma, trees and Euler's formula.
LaTeX (KaTeX)Math — Recurrence Relations
Arithmetic, geometric and linear recurrences.
LaTeX (KaTeX)Math — Correlation & Covariance
Covariance, the Pearson and Spearman coefficients.
LaTeX (KaTeX)Math — Confidence Intervals
Confidence intervals for a mean and a proportion.
LaTeX (KaTeX)Math — Types of Events
How probabilities combine for different event types.
Graphviz (DOT)Math — Vector Operations
Operations you can perform on vectors.
Graphviz (DOT)Math — Related Rates
Chain rule in time for related quantities.
LaTeX (KaTeX)Math — Expectation & Variance
Mean and variance of a discrete random variable.
LaTeX (KaTeX)Math — Systems of Linear Equations
Matrix form, inverse solution and the determinant test.
LaTeX (KaTeX)Math — Solving Trigonometric Equations
General solutions of basic trig equations.
LaTeX (KaTeX)Math — Surds & Indices
The laws of indices and surd manipulation.
LaTeX (KaTeX)Math — Solving Quadratics
Four methods for solving a quadratic.
Graphviz (DOT)Math — Sampling Methods
Common statistical sampling techniques.
Graphviz (DOT)Math — Vector Geometry
Magnitude, dot product, unit vectors and parallelism.
LaTeX (KaTeX)Math — Loci on the Argand Diagram
Common complex-number loci.
LaTeX (KaTeX)Math — Proof by Induction
The structure of an inductive proof.
LaTeX (KaTeX)Math — Differentiation from First Principles
The limit definition of the derivative.
LaTeX (KaTeX)Math — Geometric Transformations
The four geometric transformations.
Graphviz (DOT)Math — Uses of Percentages
Common percentage calculation types.
Graphviz (DOT)Math — Maclaurin Series
Standard Maclaurin expansions.
LaTeX (KaTeX)Math — Iterative Methods
Fixed-point iteration and Newton–Raphson.
LaTeX (KaTeX)Math — Normal Approximation
Approximating the binomial by a normal distribution.
LaTeX (KaTeX)Math — Forces as Vectors
Resolving and combining forces in mechanics.
LaTeX (KaTeX)Math — Conditional Probability
Multiplication, total probability and Bayes.
LaTeX (KaTeX)Math — SOHCAHTOA
The three primary trigonometric ratios.
Graphviz (DOT)Math — Parts of a Circle
The named features of a circle.
Graphviz (DOT)Math — Eigendecomposition
Diagonalisation, matrix powers and the spectral theorem.
LaTeX (KaTeX)Math — Fourier Series & Transform
Fourier coefficients and the Fourier transform.
LaTeX (KaTeX)Math — Laplace Transforms
Definition and standard Laplace transforms.
LaTeX (KaTeX)Math — Group Theory
Group axioms and Lagrange's theorem.
LaTeX (KaTeX)Math — Limits (Epsilon–Delta)
The formal definition of a limit.
LaTeX (KaTeX)Math — The Big Picture of Calculus
How limits, derivatives and integrals connect.
Graphviz (DOT)Math — Linear Programming
Optimising a linear objective under constraints.
LaTeX (KaTeX)Math — Proof by Contradiction
The structure of a proof by contradiction.
LaTeX (KaTeX)Math — Partial Derivatives
Gradient, total differential and critical points.
LaTeX (KaTeX)Math — Markov Chains
Transition matrices and the steady-state distribution.
LaTeX (KaTeX)Math — Logical Connectives
The basic connectives of propositional logic.
Graphviz (DOT)Math — Modulus (Absolute Value) Equations
Solving and bounding modulus expressions.
LaTeX (KaTeX)Math — Harmonic (R) Form
Writing a cosθ + b sinθ as a single sinusoid.
LaTeX (KaTeX)Math — Implicit & Logarithmic Differentiation
Differentiating implicit relations and powers.
LaTeX (KaTeX)Math — Cardinality & Countability
Sizes of sets and countable vs uncountable infinity.
LaTeX (KaTeX)Math — Classification of Numbers
The hierarchy from complex down to natural numbers.
Graphviz (DOT)Math — Matrix Operations
Operations defined on matrices.
Graphviz (DOT)Math — Lagrange Multipliers
Constrained optimisation.
LaTeX (KaTeX)Math — Line Integrals
Scalar and vector line integrals.
LaTeX (KaTeX)Math — Divergence & Curl
Vector differential operators and identities.
LaTeX (KaTeX)Math — Power Series
Power series and radius of convergence.
LaTeX (KaTeX)Math — The Heat Equation
A parabolic PDE solved by separation of variables.
LaTeX (KaTeX)Math — Gram–Schmidt Process
Building an orthonormal basis.
LaTeX (KaTeX)Math — Singular Value Decomposition
Factorising any matrix into U Σ Vᵀ.
LaTeX (KaTeX)Math — Gradient Descent
Iterative minimisation along the negative gradient.
LaTeX (KaTeX)Math — Bayesian Inference
Posterior, likelihood and prior.
LaTeX (KaTeX)Math — Game Theory
Equilibria and strategies.
LaTeX (KaTeX)Math — Types of Statistical Graph
Choosing a chart for the data type.
Graphviz (DOT)Math — Types of Angle
Classifying angles by size.
Graphviz (DOT)Math — Classifying Sequences
Types of number sequence.
Graphviz (DOT)Math — The Wave Equation (PDE)
Separable solutions and standing-wave modes.
LaTeX (KaTeX)Math — Laplace's Equation
Harmonic functions and steady states.
LaTeX (KaTeX)Math — Cauchy's Theorem & Residues
Contour integration in the complex plane.
LaTeX (KaTeX)Math — Systems of Linear ODEs
Eigenvalue solutions and stability.
LaTeX (KaTeX)