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op.Oscar PerdomoMATHEMATICS · RESEARCH · EDUCATION
Overview /

LEARN BY DOING

The math toolbox.

A place to experiment, practice, and see the ideas for yourself.
Choose a topic or search for something you’re working on.

45 tools to explore

Trigonometry

Pace and speed converter

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Trigonometry

Trigonometric conversions

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Trigonometry

Angle transformations

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Trigonometry

Length and area of a pulley

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Trigonometry

Solving triangles

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Trigonometry

Verifying trigonometric identities

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Trigonometry

Graphing sine and cosine

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Trigonometry

Graphing cosecant and secant

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Trigonometry

Graphing cotangent and tangent

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Basic Algebra

Practice fraction operations

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Basic Algebra

Practice multiplication of fractions

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Basic Algebra

Practice factoring basic trinomials

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Basic Algebra

Practice solving linear equations

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Basic Algebra

Practice graphing a line in the plane

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Basic Algebra

Solving and graphing a two by two system

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Basic Algebra

Using completing squares to solve quadratic equations

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Basic Algebra

Usando completar el cuadrado para resolver ecuaciones cuadráticas

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Basic Algebra

Solving a quadratic equation

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Linear Algebra

Eigenvalues of a 2×2 matrix

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Linear Algebra

Visualizing real eigenvectors

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Calculus

Mass of a ball with radial density

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Calculus

Mass of a cylinder with radial density

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Statistics

The Correlation Coefficient

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Statistics

Random Variation Experiments

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Optimization of Tapered Beams

Minimizing total length (square cross section)

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Optimization of Tapered Beams

Minimizing total length with centered part h

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Optimization of Tapered Beams

Best length (variable profile, square section)

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Optimization of Tapered Beams

Best length (variable profile, circular section)

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Optimization of Tapered Beams

Best possible length with circular sections

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Optimization of Tapered Beams

Solving the non-tapered beam with square cross section

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Optimization of Tapered Beams

Solving the non-tapered beam with circular cross section

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Quantum Information

Preparing a non-entangled two qubit state

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Quantum Information

Preparing an entangled two qubit state

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Complex Variable

Solving quadratic equations (complex)

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Complex Variable

Basic operation of two complex numbers

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Complex Variable

Stereographic projection

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ODEs

Solving a linear first-order ODE

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Antiderivative

Match function with their derivatives

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Antiderivative

Basic substitutions, sine, cosine, u^n, exponentials

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Antiderivative

Inverse trigonometric antiderivatives

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Antiderivative

Logarithmics and general exponentials

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Numerical solvers

Stochastic gradient free solver

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Games & exploration

Practicing the game Primechisi

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Games & exploration

Practicing binary numbers

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Quantum Information

A conjecture on stabiliser states

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