Mathematics

Web sites that I sometimes use in class:

Most often used sites as of August 2015:

Purplemath-Go to the bottom of the page for Advanced Topics
She Loves Math-Go to Advanced and PreCalculus
Paul Dawkins Lamar University
BlackPenRedPen-Calculus
http://www.analyzemath.com/Trigonometry.html#inverse_trigonometric_functions
Binomial Multiplier
Rossman Chance Applets-statistics/probability
Plane Grapher 3D
http://www.mste.uiuc.edu/users/Murphy/MovingMan/MovingMan.html-first/second derivative
Calculus Applets
Quicktime Graphs-polar
Venn Diagram
Transformation-Trig functions
Trig Graphing Online

More often used sites:
- Paul Dawkins Lamar University
- mathforum.org
- http://mathforum.org/mathtools/
- Precalculus General
- Purple Math-Elizabeth Stapel; through Precal
- Cut the Knot
Some good online graphing tools:
- http://www.math.com/students/solvers/online_solvers.htm
- http://www.ies.co.jp/math/java/
- http://www.langara.bc.ca/~acooper/GeX/v2/Grapher.htm
- http://clem.mscd.edu/~talmanl/MathAnim.html
- http://www.analyzemath.com/Trigonometry.html#inverse_trigonometric_functions
- http://www.walterzorn.com/grapher/grapher_e.htm
A good site for historical and biographical information:
- turnbull.mcs.st-and.ac.uk/history/
- People in Mathematics-Rene Descartes
- People in Mathematics-Cathleen Morawetz
- People in Mathematics-Nicolaus Copernicus
- People in Mathematics-Johannes Kepler
- People in Mathematics-Gallileo Galilei
- People in Mathematics-Leonardo da Vinci
- People in Mathematics-Tycho Brahe
- People in Mathematics-Katherine Johnson
- People in Mathematics-Niels Bohr
- R.H. Bing-Driving to Chicago
Another powerful, all inclusive site:
- mathworld.wolfram.com
Sites with java applets :
- univie.ac.at/future.media/moe/galerie.html
- http://mathforum.org/te/exchange/hosted/palu/index.html
- http://www.exploremath.com/
- Polynomial Experimentation
- Online Math Calculators and Solvers
- Binomial Multiplier

Polynomial Solver
http://did.mat.uni-bayreuth.de/~wn/BLK/Poly/poly.html
http://www.kusashi.com/cubic.php
linear programming
Graphing-Precal/Calculus
3D Graphing- Enter Your Own
3D Graphing
Science Animation
Math, Physics, and Astronomy-bottom of page for Physics and Astronomy
Trig Animation Keypress
Geogebra
Analyze Math
Online 3D Graphing
Plane Grapher

A good site for statistics:
- bbn-school.org/us/math/ap_stats/index.html
- http://www.georgetown.edu/faculty/engler/Statistics/TI83.html
- Probability Distributions
- Types of Sampling
- Robert Niles' Journalism Help Finding Data on the Internet
- Energy Information Administration - EIA - Official Energy Statistics from the U.S. Government
- On-Line Calculators
- Online Conversion - Energy Conversion
- Historical CO₂ Emmisions
- http://www.mathorama.com/stat/framestats.html
- AP Stat
- Survey and Observation
- Statistical Glossary-UC Berkeley
- Degrees of Freedom
- The Shortcomings of Statistics-Science News
- Stattrek
- Experiment-Resources
  Rossman Chance Applets
  Distribution Types-Discrete and Continuous-See Distributional Choices Bottom of Page
  Stats Monkey-TPS Syllabus/Summary/Other Support
  ANOVA
  TPS Textbook Site
  Experiments using Java
  Comparing Various Displays of Data
  Study Types
  Survey vs Observation
  Data Sets-Federal Govt
  Correlation Coefficient Calculator
  Stem and Leaf Calculator
  Boxplot Calculator
  Sampling Distribution Javascript
  Monmouth University Polling
  Monmouth University Methodology
  Monmouth University Online Resources
  Z Score Mean and SD
  Normal Probability Plot
  Correlation Coeficient Derivation 1
  Correlation Coeficient Derivation 2
  Adjusted R Squared Value
  Online LSRL Calculator
- Statistics Basic
Calculus
- http://www.mste.uiuc.edu/users/Murphy/MovingMan/MovingMan.html-Not in Chrome
- http://www.ies.co.jp/math/java/calc/heihen/heihen.html
- Derivative Intro
- Limits
- Calculus Applets
- Ask Mr Calculus-AP Tests
- APCentral.CollegeBoard
- 2005 AP Questions
- Taylor Inequality Error/Lagrange Error Part 1
- Taylor Inequality Error/Lagrange Error Part 2
- Taylor Inequality Error Example 1
- Taylor Inequality Error Example 2
- Lagrange Error for e^x
- Volumes
  Disk/Washer vs Cylinder/Shells
  Volume-determining shape to use
  Volume/Surface Area Calculator
- Shell Method
- Disk Method
- When to use Disk vs Shell
- Disk vs Shell Comparison
- Disk vs Shell for Single Function Revolved
- Center of Mass Derived
- Center of Mass More Examples
- Harvey Mudd Tutorials
  Derivative of Inverse Function
- Table of Common Derivatives
  First and Second Derivatives/Max Min/Inflection
  Integration by Parts
  Trapezoidal Integration and Simpson's Rule
  Length of Portion of Function
- Integration by Substitution
  Integration by Substitution Trig1
  Integration by Substitution Trig2
- Integration by Doubling
- The Importance of the Constant in Integration
- Work using Integration
- Area and Volume-Shell and Disk
  Volumes of Known Cross Sections
  Volumes of Known Cross Sections2
  Volumes of Known Cross Sections3
- Newton's Method
- Euler's Method
- TI-89 Slope Fields and Eulers Method
- Ti-89 Integration
- Taylor Series for Common Functions and Derivation
- Taylor Series for Common Functions and Derivation
- Taylor Series Intro1
  Taylor Series Intro2
  Taylor Series Intro3
- Table of Integrals
- Proof Sine and Cosine Reduction Formulas
- L'Hopital's Rule
  Proof of all versions l"Hopital's Rule
- Proof MVT and EMVT
- Taylor Polynomial Remainder Proof-Kahn Academy
- Taylor Polynomial Remainder Dartmouth
- Taylor Polynomial Integral Remainder Proof UPenn
- Hyperbolic Function and Inverses Formulas
- Hyperbolic Double Angle Sum/Diff Plus
- Tests for Convergence Flowchart
- Tests for Convergence Flowchart2
- Tests for Convergence Criteria
- Convergence Test Examples
- Animation of Fundamental Theorem of Calculus Part Two
- Taylor Series of Common Functions
- Taylor Series for Hyperbolic Functions
- Taylor Series Online Generator
- Centroid-Area and Arc
  Partial Fractions
  Partials Fractions2
  Finney Calculus Solutions
  Online Slope Field Generator
- Polar Derivatives
- Riemann Sums-Desmos
- Proofs of Various Integral Properties
- Diff and Int Summary-University of Houston
- Proof of all Trig and Inv Trig Functions
- Blackpenredpen
A good overall educational site:
- http://school.discovery.com/schrockguide/
Another site for general use:
- http://www.libraryspot.com/
Logarithmic and Exponential Functions
- Paul Dawkins Lamar University
- Earthquake s and p waves; some animation
- earthquakes
- moment magnitude scale Information from Answers.com
- Richter Magnitude
- Seismic Waves
- Earthquake Amplitude
- Log and Exponential function problems
- Current Activity
- Wave Explanations
- USGS Site
- Exp Help
  Exp Help
- Log Help
  Log Help
- Exp/Log Help
- pH Examples
- Exponential and Logarithmic Graphs
- Logistic Functions
  Inflation 1970s
  Inflation 20th Century
  Inflation 1920s
- Log Property Proofs
Basic help through precalculus:
- http://www.themathpage.com/Index.html
Polar and other curves:
- http://mathworld.wolfram.com/topics/AnimatedGIFs.html
- http://www-groups.dcs.st-andrews.ac.uk/~history/Curves/Curves.html
- univ. georgia curves
- http://adept.maplesoft.com/powertools/precalc/html/p07-polargraphs.html
- http://www.xahlee.org/SpecialPlaneCurves_dir/specialPlaneCurves.html
  Quicktime Graphs
- Polar Intro
Conic Sections
- Conic Section Gallery
- Math Tools Browse
- Occurrence of the Conics
- http://www.math.odu.edu/cbii/calcanim/index.html#defel
- http://www.ies.co.jp/math/java/conics/index.html
- http://www.keypress.com/x7146.xml-Conics General
- http://en.wikipedia.org/wiki/Eccentricity
- http://mathworld.wolfram.com/ConicSectionDirectrix.html
- Applications of Hyperbolas
- http://www.explorelearning.com/index.cfm?method=cResource.dspDetail&ResourceID=25
- Conic Summary
- Advanced Conic Algebra/Animation
- Eccentricity Applet
- Drawing a Parabola
- Kepler's Laws
- Keplers Laws

Animation
Conic Intro
Conic Practice
Conic Rotation

Sequences and Series
- Fibonacci: http://www.mcs.surrey.ac.uk/Personal/R.Knott/Fibonacci/fibnat.html
- Induction
- Purple Math Intro
- Mathisfun
- Khan Academy
- Regents Prep
- Present and Future Value
Astronomy
- Complete Study
- Orbital Animation
Probablility and Statistics
- http://www.stat.sc.edu/~west/applets/Venn.html
- http://www.sal.hut.fi/Teaching/Resources/ProbStat/table.html
- http://mathgoodies.com/lessons/vol6/intro_probability.html
- http://www.gomath.com/htdocs/lesson/probability_lesson4.htm
- Conditional Probability Animation
- Experiments using Java
- Statistic Applets
- Binomial Distribution Function Applet
- Binomial Distribution Function Characteristics
- AP Statistics Tutorial
- Combinations and Permutations with and without repetition
- Combinations with Repetition
- Combinations with Repetition Alternate Example
- Binomial Coin Java
- Permutations and Combinatorics
- Venn Diagram Interactive
- Venn Diagram Choose
- Venn Diagram Symmetry
- Venn Diagram Practice
- Venn Diagram on Sexuality
- Venn Diagram Examples
- Permutation and Combination Practice
- Binomial Theorem
  Binomial Theorem Extended
- Conditional Probability Visual
  Venn Diagram
- Poker Probabilities
- Binomial Graphing Ti Nspire
- Monty Hall Problem
- Poker Probabilities
- March Madness and Probability
- Binomial Distribution Online Graph
- Binomial Distribution Online Graph PDF CDF
- Geometric Distribution
Vectors
- http://www.frontiernet.net/~imaging/vector_calculator.html
- Vector Introduction
  Physics Tutorials
  Hyperphysics
- Vector Calculations
  Vector Animation-draw vectors and animation draws resultant
- Two Forces on an Object
- Projectile Motion:
Parametric Equations
        Graphing with Java
        Basic Parametric Equations vs Cartesian vs Vectors including Velocity Information
        Another Explanation from Physics
        General Parametrics
Miscellaneous
Geometry
Circle Geometry-Angle and Length Relationships
Trapezoid parallel sides-diagonal component measures
Complementary/Supplementary/Vertical/Alternate Angles
Centroid, Orthocenter, Circumcenter, and Incenter
Compass and Ruler Construction
Circle Geometry Proofs
Perpendicular Chord Through Center
Intersecting Chords Theorem
Intersecting Lines Circle Angle Relationships
Online Triangle Drawing
Online Polygon Drawing
General Info Plus Drawing
Cut the Knot
Linear Programming Problems and Procedures
Analyze Math
Purplemath
NCSU
Java Applet for Solving
Trigonometry
Unit Circle Definition to Function Animation
Law of Cosines Derivation Video
Law of Sines Derivation Video
Sine of Sum of Two Angles Derivation Video
Identities
Trigonometry Animation Keypress
Trig Period Animation
Online Oscilloscope
Wave Applet
Sperical Trigonometry and Here
Transformation
Oscilloscope Download
Trig Graphing Online
Word Problems
Word Problems2
Word Problems3
Polynomials
a. Word Problems
b. Purple Math-All topics
c. Purple Math-Word Problems
d. Factoring1
e. Factoring2
f. Binomial Theorem Factoring Extended (Multinomial)
g. Upper and Lower Bounds of Roots
h. More Multinomial Expansion
i. Descarte Rule of Signs-See bottom of page
j. Rene Descartes Historical
k. Rene Descartes Bio
l. Difference of Odd/Even Powers
m. Descartes Rule of Signs w/ Calculator
n. Factoring into two Trinomials
o. Descarte Rule of Sign Practice
p. Difference of Perfect Cubes Practice
q. Polynomial General Practice
r. Polynomial General Practice
s. Desmos Online Graphing Calculator
t. Polynomial Calculator-Factor/Expand
u. Mathportal-Online Calculators/Graphing
v. Vertex of Parabola
Physics
Units of Work and Energy
Projectile Motion
Ti-Nspire Regression
Matrices
Gauss Jordan Elimination-Calculator
Gauss Jordan Elimination
Gaussian Elimination
Functions
Domain and Range
Zipf's Law Applet (Wolfram Alpha)
Zipf's Law Population NY Times
Word Frequency Formula(Wolfram Alpha)
Word Problems
Relative Mixture Percentage
Proof by Induction
Purplemath
Khan Academy
Wikipedia
University of Illinois Urbana-Champagne
The Math Page
Complex Numbers
Use Article 1
Use Article 2
Use Article 3
Use in Differential Equations
Logic
Regents Prep
Logic Symbols
Precalculus Final Exam Study
Paul Dawkins-Most Topics
Purplemath-Most Topics
She Loves Math

Doug Austin

Computers, Photography, and Mathematics