Creating the set of all possible subsets, the powerset of a set with Scheme.
Pollards algorithm can be used to factor huge numbers.
This demonstrates a mathematical concept of a perfect number in a computational abstraction utilizing scheme.
How to generate waveforms with Python or CHOPs in Houdini.
This bash script helps to align images, or define boundaries for external postscript files within a tex file that uses pstricks.
This generates the LaTeX code for creating vectors on a unit circle.
This PHP script generates LaTeX code for a matrix.
This PHP script generates Stem Plots in LaTeX using PStricks.
A simple BASH script for LaTeX rendering.
A comprehensive overview of the math 55 course.
Some simple examples of generating files with LaTeX.
Structural induction on ternary trees.
Expected value of a random variable in probability theory.
Distinguishable and Indistinguishable boxes and objects. Combinations and permutations. Placing objects into boxes.
Using scheme to compute derivatives and integrals.
A great video explaining Discrete Fourier Transforms.
The Euclidean Algorithm is used to find the Greatest Common Divisor. Written in Scheme.
How to compute a base b expansion of a number n.
Modular Exponentiation is an important algorithm in cryptography and computer science.
Graphing guidelines using first derivative test and concavity test (aka second derivative test).
Volume and area using integration techniques.
Applications of the derivative to optimize functions.
Rolle's theorem and the Mean value theorem (MVT).
Finding vertical tangent lines of a function.
Some word problems involving rates and derivatives.
Solving for equations of tangent lines involving specific points on a graph.
Determining maximum error, average and percentage error using differentials.
Solving problems with the derivative and increments of x, involving linear approximation.
Proofs for the product rule and quotient rule when finding the derivative.
Proof of trigonometric derivatives using the Limit Definition of the Derivative.
Some different problems using the derivative.
Dividing floats with true division as opposed to floor division.
Use the derivative to find the instantaneous velocity of a function.
The Derivative, tangent lines, and rates of change.
Adds two fractions, and reduces them using the modulus function.
Limits that lead to the discovery of a vertical asymptote.
Solving limits using the Sandwich Theorem, or Squeeze Theorem.
Explore continuous functions with the intermediate value theorem.
Solving limits with unbounded values of infinity.
This code will determine the musical relationship between different notes based on a tonic. Includes inversions.
A keyboard with the note numbers for mathematical use.
Mathematics, music theory, and programming to create a table of the 88 keys of a grand piano.
Techniques for finding the derivative using implicit differentiation.
How to make a proof for a Limit of a function using delta and epsilon.
The precise definition of the Limit of a function.
This demonstrates using the cross product in an expression in prepping normals for copy stamping.
Methods for solving trigonometric equations.
Formulas for the sum and difference of two angles within a trigonometric function.
Formulas and identities for double and half angles.
Formulas for compounding interest, and doubling investments.
Use of exponents and logorithms to solve problems involving half-life and population growth.
Rules of exponential functions and their graphs.
How the fundamental and Pythagorean identities were derived, along with a few identity problems.
The radians of the unit circle...a trigonometry must.
The Klein bottle is a closed nonorientable surface that has no inside or outside.
A heart-shaped surface given by the sextic equation
Algebraic surfaces which can be represented implicitly by a polynomials of a degree of 10 in x, y, and z.
Copy stamping with oscillations using the math behind pitch.