Math Web Tools

Files designated with (xls) are Excel files. Be sure to allow all functionality, including macros, when you open them.

General Interest

Mathematics Education

• Drillmasters (a collection) – S. Wilson

Mathematics Technology

• TI-83/84 Introduction (video) – L. Corriston
• TI-83/84 Graphing (video) – L. Corriston
• TI-86 Introduction (video) – L. Corriston
• TI-86 Graphing (video) – L. Corriston
• Dynamic Web Tools using webMathematica (a collection)
• Dynamic Graphing in 2D and 3D Using Excel (xls) - C. Imm

Recreational Mathematics

• Integermania! - S. Wilson

Elementary Mathematics

Arithmetic

• Basic Addition Facts Drillmaster - S. Wilson
• Basic Subtraction Facts Drillmaster - S. Wilson
• Basic Multiplication Facts Drillmaster - S. Wilson
• Basic Division Facts Drillmaster - S. Wilson
• Math Oasis (a collection) – N. Carpenter

Business Math

• Business Math Corner (a collection) – S. Wilson
• Wilson’s JavaScript Financial Calculator - S. Wilson
• Comparing Compounding Frequencies - S. Wilson

Geometry

• A Construction of π and the Area and Circumference of a Circle – M. Martin

Algebra

General Functions

• Exploring Combinations of Functions - S. Wilson

Polynomial Functions

• Roots (a synthetic division program) – N. Carpenter & S. Wilson
• Exploring the Zeros of a Quadratic Function (xls) - S. Wilson
• Exploring Polynomial Zeros (xls) - S. Wilson

Applications to Medicine

• Michaelis-Menten Equation – M. Martin

Trigonometry

Drillmasters

• Standard Position Trig Ratios Drillmaster - S. Wilson
• Right Triangle Trig Ratios Drillmaster - S. Wilson
• Special Angle Sine and Cosine Values Drillmaster - S. Wilson
• Special Angle Trig Values Drillmaster - S. Wilson
• Converting Degrees to Radians Drillmaster - S. Wilson
• Converting Radians to Degrees Drillmaster - S. Wilson
• Sine Graph Characteristics Drillmaster - S. Wilson

Trigonometric Functions

• Topics in Trigonometry (a collection) – S. Wilson
• Generating the Sine Function - S. Wilson
• Trig Values and the Unit Circle - S. Wilson
• The Trig Functions and the Unit Circle - S. Wilson

Analytic Geometry

Algebraic Plane Curves

• Plane Curve Panoramas (a collection) – S. Wilson
• Exploring the General Conic Graph (xls) - S. Wilson
• Exploring Quartic Plane Curves (xls) - S. Wilson
• Trisectrix of Maclaurin - S. Wilson
• Witch of Agnesi - S. Wilson

Polar and Parametric Graphing

• Eccentricity of a Conic - S. Wilson
• Rose Analyzer - S. Wilson
• Limacon Analyzer - S. Wilson
• Lissajous Curve Analyzer - S. Wilson

Other Coordinate Systems

• Coordinate Systems - S. Wilson
• Curvilinear Coordinates and the Polynomial Function (xls) - S. Wilson
• Curvilinear Coordinates and the Square Root Function (xls) - S. Wilson
• Curvilinear Coordinates and the Exponential Function (xls) - S. Wilson
• Curvilinear Coordinates and the Logarithmic Function (xls) - S. Wilson
• Curvilinear Coordinates and the Sine Function (xls) - S. Wilson
• Curvilinear Coordinates and the Tangent Function (xls) - S. Wilson
• Curvilinear Coordinates and the Secant Function (xls) - S. Wilson
• Curvilinear Coordinates and the Inverse Sine Function (xls) - S. Wilson
• Curvilinear Coordinates and the Inverse Tangent Function (xls) - S. Wilson

Discrete Mathematics

Basic Sequences and Series

• Simple Recursive Sequences - S. Wilson
• The Discrete Exponential Model – M. Martin
• Fibonacci and Related Sequences - S. Wilson
• Fibonacci Numbers and the Definition of φ, the Golden Ratio – M. Martin
• Iterating a Cubic Bistable Equation – M. Martin
• Iterating the Sine Function – M. Martin
• Iterating the Cosine Function – M. Martin
• Mandelbrot Scenes and Animations - S. Wilson

Applications to Population Dynamics

• A Model of Selection – M. Martin
• The Canonical Logistic Population Model – M. Martin
• The Discrete Logistic Population Model with Carrying Capacity – M. Martin
• The Discrete Logistic Population Model with Harvesting – M. Martin
• The Canonical Ricker Population Model – M. Martin
• The Ricker Population Model with Carrying Capacity – M. Martin
• Discrete Population Growth with Stochastic Effects – M. Martin
• The Beverton-Holt Model – M. Martin
• The Leslie-Gower Model – M. Martin
• The Reduced Neubert-Kot Model – M. Martin
• The Neubert-Kot Model – M. Martin
• The Nicholson-Bailey Model – M. Martin
• A Modified Nicholson-Bailey Model with Density Dependence I – M. Martin
• A Modified Nicholson-Bailey Model with Density Dependence II – M. Martin
• A Modified Nicholson-Bailey Model with Density Dependence III – M. Martin
• Exploring the US Census Data – M. Martin

Applications to Medicine

• Chalones and Mitosis – M. Martin
• Discrete Model for Simple Heart Dynamics – M. Martin & F. Adler
• Discrete Model for Periodic Hematopoiesis – M. Martin
• Chemical Concentration Model in a Breathing Lung – M. Martin
• Simulating the Two-Process Sleep Model – M. Martin & D. Terman
• Semi-Logarithmic Plots of Exponential Functions – M. Martin
• Monod-Wyman-Changeux Equation – M. Martin

Linear Algebra

• Two-Dimensional Bases – M. Martin
• 2D Matrix Transformations - S. Wilson
• 2D Homogeneous Transformations - S. Wilson

Graph Theory

• Voronoi Plotter — Input Points – M. Martin & J. Jungck
• Voronoi Plotter — Random Points – M. Martin & J. Jungck

Social Choice

• Voting and Power Indices - S. Wilson
• Apportionment Methods - S. Wilson

Statistics

• Comparing the z and t Distributions - S. Wilson

Differential Calculus

Drillmasters

• Delta Epsilon Proofs Drillmaster – S. Wilson
• Derivatives Drillmaster (Basic) – S. Wilson
• Derivatives Drillmaster (Basic Plus) – S. Wilson
• Derivatives Drillmaster (Algebraic) – S. Wilson
• Derivatives Drillmaster (Exp/Log) – S. Wilson
• Derivatives Drillmaster (Intermediate) – S. Wilson
• Derivatives Drillmaster (Trig) – S. Wilson
• Derivatives Drillmaster (Advanced) – S. Wilson
• Derivatives Drillmaster (Comprehensive) – S. Wilson

Limits

• Input and Output Tolerances for a Linear Function – M. Martin
• The Limit of (3n²-5)/(1+5n-2n²) as n goes to ∞ – M. Martin
• The Limit of ((-1)ⁿ(n+100))/(5n+3) as n goes to ∞ – M. Martin
• The Definition of e – M. Martin
• The Limit of sin(n)/n as n goes to ∞ – M. Martin

Functions and their Derivatives

• The Linear Function – M. Martin
• The Polynomial Function of Degree Four or Less – M. Martin
• The Polynomial Function of Degree Four or Less – Tangent Lines – M. Martin
• A Rational Function with Numerator and Denominator Degrees of Four or Less – M. Martin
• The Hill Function – M. Martin
• The Exponential Function – M. Martin
• The Extended Exponential Function – M. Martin
• The Basic Exponential Function – M. Martin
• The Logistic Function – M. Martin
• The Sine Function – M. Martin
• The Extended Sine Function – M. Martin
• The Cosine Function – M. Martin
• The Extended Cosine Function – M. Martin
• The Tangent Function – M. Martin
• The Extended Tangent Function – M. Martin
• The Cotangent Function – M. Martin
• The Secant Function – M. Martin
• The Cosecant Function – M. Martin
• The Product of an Exponential and a Sinusoid (Sine) – M. Martin
• The Extended Product of an Exponential and a Sinusoid (Sine) – M. Martin
• The Product of an Exponential and a Sinusoid (Cosine) – M. Martin
• The Extended Product of an Exponential and a Sinusoid (Cosine) – M. Martin
• The Hyperbolic Sine Function – M. Martin
• The Hyperbolic Cosine Function – M. Martin
• The Hyperbolic Tangent Function – M. Martin
• The Extended Hyperbolic Tangent Function – M. Martin
• The Error Function – M. Martin
• The Extended Error Function – M. Martin

Integral Calculus

Numerical Integration

• Approximating the Definite Integral of a Polynomial Using Left-Hand Endpoints – M. Martin
• Approximating the Definite Integral of a Polynomial Using Right-Hand Endpoints – M. Martin
• Approximating the Definite Integral of a Polynomial Using Midpoints – M. Martin
• Approximating the Definite Integral of a Polynomial Using Trapezoids – M. Martin
• Approximating the Definite Integral Using Left-Hand Endpoints – M. Martin
• Approximating the Definite Integral Using Right-Hand Endpoints – M. Martin
• Approximating the Definite Integral Using Midpoints – M. Martin
• Approximating the Definite Integral Using Trapezoids – M. Martin
• Gauss-Kronrod Integration - C. O’Neil

Series

• Taylor Polynomials - S. Wilson
• Exploring Fourier Series - S. Wilson

Differential Equations

First and Second Order Equations

• Slope Fields - S. Wilson
• An Euler Pathology – M. Martin
• Constant-Coefficient Linear Homogeneous ODEs and IVPs – M. Martin
• Undamped Forced Oscillations – Beats – M. Martin
• Undamped Forced Oscillations – Resonance – M. Martin
• Damped Forced Oscillations – Practical Resonance – M. Martin

Applications to Medicine

• Fitzhugh-Nagumo System of Differential Equations – M. Martin
• Morris-Lecar System of Differential Equations – M. Martin
• A Two-Compartment, One-Drug Pharmacokinetics Model with Linear Forcing – M. Martin
• A Two-Compartment, One-Drug Pharmacokinetics Model with Decaying Exponential Forcing – M. Martin
• A Two-Compartment, Two-Drug Pharmacokinetics Model with Linear Forcing – M. Martin
• A Two-Compartment, Two-Drug Pharmacokinetics Model with Decaying Exponential Forcing – M. Martin
• Periodic Dosing with Exponential Decay – M. Martin
• Discrete Antiangiogenic Therapy for Cancer – M. Martin
• Continuous Antiangiogenic Therapy for Cancer – M. Martin
• Bang-Bang Optimal Control for a Cancer Therapy Model – M. Martin
• Comparing Models of Growth – M. Martin & H. Byrne
• Bolie’s Model for Glucose-Insulin Dynamics – M. Martin

Complex Analysis

• Complex Arithmetic (a collection) – S. Wilson
• The Complex Polynomial Function (Standard Form) - S. Wilson
• The Complex Polynomial Function (Factored Form) - S. Wilson
• The Complex Exponential Function - S. Wilson
• The Complex Logarithmic Function - S. Wilson
• The Complex Sine Function - S. Wilson
• The Complex Arcsine Function - S. Wilson
• The Complex Function - S. Wilson