Math
Powersets Powersets

Creating the set of all possible subsets, the powerset of a set with Scheme.

Author: eharetea
Date Modified: 04/13/10

Pollards Algorithm Pollards Algorithm

Pollards algorithm can be used to factor huge numbers.

Author: eharetea
Date Modified: 01/19/10

Perfect Numbers Perfect Numbers

This demonstrates a mathematical concept of a perfect number in a computational abstraction utilizing scheme.

Author: eharetea
Date Modified: 01/19/10

Python and CHOP Waveforms Python and CHOP Waveforms

How to generate waveforms with Python or CHOPs in Houdini.

Author: eharetea
Date Modified: 03/20/09

Aligning LaTeX images Aligning LaTeX images

This bash script helps to align images, or define boundaries for external postscript files within a tex file that uses pstricks.

Author: eharetea
Date Modified: 02/22/09

Unit Vectors PStricks Unit Vectors PStricks

This generates the LaTeX code for creating vectors on a unit circle.

Author: eharetea
Date Modified: 02/21/09

Generate LaTeX Matrices Generate LaTeX Matrices

This PHP script generates LaTeX code for a matrix.

Author: eharetea
Date Modified: 02/21/09

LaTeX PStricks Stem Plots LaTeX PStricks Stem Plots

This PHP script generates Stem Plots in LaTeX using PStricks.

Author: eharetea
Date Modified: 02/21/09

BASH script for LaTeX generation BASH script for LaTeX generation

A simple BASH script for LaTeX rendering.

Author: eharetea
Date Modified: 02/20/09

Math 55 Review Math 55 Review

A comprehensive overview of the math 55 course.

Author: eharetea
Date Modified: 12/18/08

Simple LaTeX Simple LaTeX

Some simple examples of generating files with LaTeX.

Author: eharetea
Date Modified: 11/07/08

Structural Induction Structural Induction

Structural induction on ternary trees.

Author: eharetea
Date Modified: 11/06/08

Expected Value Expected Value

Expected value of a random variable in probability theory.

Author: eharetea
Date Modified: 11/05/08

Distinguishable and Indistinguishable Distinguishable and Indistinguishable

Distinguishable and Indistinguishable boxes and objects. Combinations and permutations. Placing objects into boxes.

Author: eharetea
Date Modified: 11/05/08

Infinite Series Infinite Series

Infinite Series in Calculus.

Author: eharetea
Date Modified: 11/03/08

Linear Congruences Linear Congruences

Rules for Linear Congruences.

Author: eharetea
Date Modified: 11/01/08

Scheme mathematics Scheme mathematics

Using scheme to compute derivatives and integrals.

Author: eharetea
Date Modified: 10/31/08

Discrete Fourier Transforms Discrete Fourier Transforms

A great video explaining Discrete Fourier Transforms.

Author: eharetea
Date Modified: 10/10/08

Euclidean Algorithm Euclidean Algorithm

The Euclidean Algorithm is used to find the Greatest Common Divisor. Written in Scheme.

Author: eharetea
Date Modified: 09/28/08

Base Expansion Base Expansion

How to compute a base b expansion of a number n.

Author: eharetea
Date Modified: 09/28/08

Modular Exponentiation Modular Exponentiation

Modular Exponentiation is an important algorithm in cryptography and computer science.

Author: eharetea
Date Modified: 09/28/08

Graphing Guidelines Graphing Guidelines

Graphing guidelines using first derivative test and concavity test (aka second derivative test).

Author: eharetea
Date Modified: 08/03/08

Work Work

Basic work problems using integration techniques.

Author: eharetea
Date Modified: 08/03/08

Area and Volume Area and Volume

Volume and area using integration techniques.

Author: eharetea
Date Modified: 08/03/08

Series Series

Arithmetic and Geometric series.

Author: eharetea
Date Modified: 08/03/08

Optimization Optimization

Applications of the derivative to optimize functions.

Author: eharetea
Date Modified: 08/03/08

The Mean Value Theorem The Mean Value Theorem

Rolle's theorem and the Mean value theorem (MVT).

Author: eharetea
Date Modified: 08/03/08

Related Rates Related Rates

Related rate problems.

Author: eharetea
Date Modified: 08/03/08

Vertical Tangent Lines Vertical Tangent Lines

Finding vertical tangent lines of a function.

Author: eharetea
Date Modified: 08/03/08

Derivative Problems Derivative Problems

Some word problems involving rates and derivatives.

Author: eharetea
Date Modified: 08/03/08

Finding Tangent Lines Finding Tangent Lines

Solving for equations of tangent lines involving specific points on a graph.

Author: eharetea
Date Modified: 08/03/08

The Chain Rule The Chain Rule

Solving derivatives using the chain rule.

Author: eharetea
Date Modified: 08/03/08

Errors with Differentials Errors with Differentials

Determining maximum error, average and percentage error using differentials.

Author: eharetea
Date Modified: 08/03/08

Increments and Differentials Increments and Differentials

Solving problems with the derivative and increments of x, involving linear approximation.

Author: eharetea
Date Modified: 08/03/08

Techniques of Differentiation Techniques of Differentiation

Proofs for the product rule and quotient rule when finding the derivative.

Author: eharetea
Date Modified: 08/03/08

Trigonometric derivatives Trigonometric derivatives

Proof of trigonometric derivatives using the Limit Definition of the Derivative.

Author: eharetea
Date Modified: 08/03/08

Solving with the derivative Solving with the derivative

Some different problems using the derivative.

Author: eharetea
Date Modified: 08/03/08

Division Division

Dividing floats with true division as opposed to floor division.

Author: eharetea
Date Modified: 08/02/08

Factorial Factorial

Factorials using python.

Author: eharetea
Date Modified: 08/02/08

Using derivative for velocity Using derivative for velocity

Use the derivative to find the instantaneous velocity of a function.

Author: eharetea
Date Modified: 08/02/08

Derivative Derivative

The Derivative, tangent lines, and rates of change.

Author: eharetea
Date Modified: 08/02/08

Add Fractions Add Fractions

Adds two fractions, and reduces them using the modulus function.

Author: eharetea
Date Modified: 08/02/08

Continuous Functions Continuous Functions

Continuous functions!

Author: eharetea
Date Modified: 08/02/08

Limits Discovering Asymptotes Limits Discovering Asymptotes

Limits that lead to the discovery of a vertical asymptote.

Author: eharetea
Date Modified: 08/02/08

Sandwich Theorem Sandwich Theorem

Solving limits using the Sandwich Theorem, or Squeeze Theorem.

Author: eharetea
Date Modified: 08/02/08

Intermediate Value Theorem Intermediate Value Theorem

Explore continuous functions with the intermediate value theorem.

Author: eharetea
Date Modified: 08/02/08

Limits Involving Infinity Limits Involving Infinity

Solving limits with unbounded values of infinity.

Author: eharetea
Date Modified: 08/02/08

Scales Scales

Musical scales.

Author: eharetea
Date Modified: 08/02/08

Chords Chords

Chords!

Author: eharetea
Date Modified: 08/02/08

Intervals and inversions Intervals and inversions

This code will determine the musical relationship between different notes based on a tonic. Includes inversions.

Author: eharetea
Date Modified: 08/02/08

Note Numbers Note Numbers

A keyboard with the note numbers for mathematical use.

Author: eharetea
Date Modified: 08/02/08

Frequency Frequency

Mathematics, music theory, and programming to create a table of the 88 keys of a grand piano.

Author: eharetea
Date Modified: 08/02/08

Implicit Differentiation Implicit Differentiation

Techniques for finding the derivative using implicit differentiation.

Author: eharetea
Date Modified: 08/02/08

Hyperbola Hyperbola

Hyperbolic functions to create hyperbolas.

Author: eharetea
Date Modified: 08/02/08

Law of Cosines Law of Cosines

Formulas for the law of cosines.

Author: eharetea
Date Modified: 08/02/08

Proof of Limit Proof of Limit

How to make a proof for a Limit of a function using delta and epsilon.

Author: eharetea
Date Modified: 08/02/08

Definition of a Limit Definition of a Limit

The precise definition of the Limit of a function.

Author: eharetea
Date Modified: 08/02/08

Cross Product Cross Product

This demonstrates using the cross product in an expression in prepping normals for copy stamping.

Author: eharetea
Date Modified: 08/02/08

Trigonometric Equations Trigonometric Equations

Methods for solving trigonometric equations.

Author: eharetea
Date Modified: 08/02/08

Sum and Difference Formulas Sum and Difference Formulas

Formulas for the sum and difference of two angles within a trigonometric function.

Author: eharetea
Date Modified: 08/02/08

Double and Half Angle Formulas Double and Half Angle Formulas

Formulas and identities for double and half angles.

Author: eharetea
Date Modified: 08/02/08

Law of Sines Law of Sines

Formulas for the law of sines.

Author: eharetea
Date Modified: 08/02/08

Inverses Inverses

Inverse trigonometric functions.

Author: eharetea
Date Modified: 08/02/08

Interest and Investments Interest and Investments

Formulas for compounding interest, and doubling investments.

Author: eharetea
Date Modified: 08/02/08

Exponential Growth and Decay Exponential Growth and Decay

Use of exponents and logorithms to solve problems involving half-life and population growth.

Author: eharetea
Date Modified: 08/02/08

Transformations Transformations

Graph transformations.

Author: eharetea
Date Modified: 08/02/08

Inequalities Inequalities

Inequalities!

Author: eharetea
Date Modified: 08/02/08

Greatest Integer Function Greatest Integer Function

The greatest integer function.

Author: eharetea
Date Modified: 08/02/08

Absolute Value Function Absolute Value Function

Absolute value function.

Author: eharetea
Date Modified: 08/02/08

Square Root Function Square Root Function

The square root function!

Author: eharetea
Date Modified: 08/02/08

Cube Root Function Cube Root Function

The cube root function!

Author: eharetea
Date Modified: 08/02/08

Rational Functions Rational Functions

Rational functions!

Author: eharetea
Date Modified: 08/02/08

Exponential Functions Exponential Functions

Rules of exponential functions and their graphs.

Author: eharetea
Date Modified: 08/02/08

Identities Identities

How the fundamental and Pythagorean identities were derived, along with a few identity problems.

Author: eharetea
Date Modified: 08/02/08

Cosecant Cosecant

Anatomy of the cosecant function.

Author: eharetea
Date Modified: 08/02/08

Secant Secant

Anatomy of the secant function.

Author: eharetea
Date Modified: 08/02/08

Cotangent Cotangent

Anatomy of the cotangent function.

Author: eharetea
Date Modified: 08/02/08

Tangent Tangent

Anatomy of the tangent function.

Author: eharetea
Date Modified: 08/02/08

Cosine Cosine

Anatomy of a cosine wave.

Author: eharetea
Date Modified: 08/02/08

Helix Helix

Use trigonometry to create a helix!

Author: eharetea
Date Modified: 08/02/08

Quadratic Quadratic

The quadratic formula.

Author: eharetea
Date Modified: 08/02/08

Sine Sine

Tbe trigonometric sine function.

Author: eharetea
Date Modified: 08/02/08

Logarithm Logarithm

Rules of logarithm functions and their graphs.

Author: eharetea
Date Modified: 08/02/08

Unit Circle Unit Circle

The radians of the unit circle...a trigonometry must.

Author: eharetea
Date Modified: 08/02/08

figure 8 Klien bottle figure 8 Klien bottle

The Klein bottle is a closed nonorientable surface that has no inside or outside.

Author: eharetea
Date Modified: 08/02/08

Iso Surface: Heart Iso Surface: Heart

A heart-shaped surface given by the sextic equation

Author: eharetea
Date Modified: 08/02/08

Iso Surfaces: Barth Decic Iso Surfaces: Barth Decic

Algebraic surfaces which can be represented implicitly by a polynomials of a degree of 10 in x, y, and z.

Author: eharetea
Date Modified: 08/02/08

Oscillator Oscillator

Copy stamping with oscillations using the math behind pitch.

Author: eharetea
Date Modified: 08/01/08

Shading with Dot Product Shading with Dot Product

A mathematical and visual look at the Dot Product in regards to shading.

Author: eharetea
Date Modified: 08/01/08