Mathematics Archives - Topics in Mathematics

	Topics in Mathematics
Calculus

Calculus Resources On-Line
ADD. KEYWORDS: Initiatives, Projects and Programs, Articles, Posters, Discussions, Software, Publisher sites, Other listings of calculus resources
Aid for Calculus
ADD. KEYWORDS: Solving problems in calculus
AP Calculus on the Web
ADD. KEYWORDS: Textbooks, 1998 Syllabus, Approved Calculators, Resources
Are You Ready for Calculus? What you should know!
Area of a Circle
SOURCE: Tom Richmond, Western Kentucky University
TECHNOLOGY: Animated Gif
Basic EXCEL-skills for calculus and differential equations
ADD. KEYWORDS: Sample worksheets, Sample problems / skills
Better File Cabinet
ADD. KEYWORDS: Database of calculus problems
SOURCE: Eric Hsu and University of Texas at Austin
Bisection Method Tutorial
Cal Poly Linked Curriculum Program Interdisciplinary Projects
ADD. KEYWORDS: Projects
Calculus
Calculus I Home Page
ADD. KEYWORDS: Sample CBL Experiment: Newton's Law of Cooling, TI-85 Programs and CBL Experiment Data, Mathematica Notebooks
Calculus 1 - Problems and Solutions
ADD. KEYWORDS: Problems, Tutorial
SOURCE: Pheng Kim Ving
Calculus and Differential Equations
ADD. KEYWORDS: Collection of articles, Curvature, Intrinsic and Extrinsic, Radial Paths in Schwarzschild Spacetime, Integrating the Bell Curve, Compressor Stalls and Mobius Transformations, Dual Failures with General Densities, The Limit Paradox, Proof That PI is Irrational, Simple Proof that e is Irrational, etc.
Calculus Applets for the Georgia Tech Syllabus
ADD. KEYWORDS: Course Materials, Experiments
Calculus Applied to the Real World
ADD. KEYWORDS: Tutorials, Tests
Calculus at Pitt
ADD. KEYWORDS: Course Materials, Mathematica, Tutorials, Lab Materials
Calculus&Mathematica
ADD. KEYWORDS: Course Materials, Mathematica
Calculus&Mathematica Remote
ADD. KEYWORDS: Course, Mathematica
Calculus Concepts Using Derive® for Windows
ADD. KEYWORDS: Lab Manual
Calculus: Difference Equations to Differential Equations
ADD. KEYWORDS: Course Materials
Calculus for Biology I
ADD. KEYWORDS: Course Materials, Lecture notes, Laboratories, HW Problems
SOURCE: Joseph M. Mahaffy, San Diego State University
TECHNOLOGY: Adobe Acrobat Reader, Excel, Java applets
Calculus for Biology II
ADD. KEYWORDS: Course Materials, Lecture notes, Laboratories, HW Problems
SOURCE: Joseph M. Mahaffy, San Diego State University
TECHNOLOGY: Adobe Acrobat Reader, Excel, Maple
Calculus for Kinetic Modeling
ADD. KEYWORDS: Course Materials, Finding Zeroes of Polynomial Functions, TIFs & TSFs for Polynomial Functions , Background from CKM Workspace , Finding Tangent Lines Examples, TSFs and Graphical Reprsentations, The Product and Quotient Rules, Chain Rule, D-Rules & TSFs, Exponential & Logarithmic Functions, Dissolution Models, Antidifferentiation, Area and the Riemann Integral, Fundamental Theorem of Calculus, Integrals, Area & Reversing D-Rules
SOURCE: John Pais, Saint Louis College of Pharmacy
TECHNOLOGY: Java applets
Calculus-Help.com
ADD. KEYWORDS: The Problem of the Week, Virtual Cheat Sheet
SOURCE: W. Michael Kelley
TECHNOLOGY: Flash plugin
Calculus Learning Units
ADD. KEYWORDS: Lesson Plans, Newton's Law of Cooling, Calculator Based Laboratory
Calculus Lecture Notes - University of Toronto
Calculus Offered On Line
ADD. KEYWORDS: Course materials for 1st semester calculus
SOURCE: Don Piele, University of Wisconsin-Parkside
TECHNOLOGY: Mathematica
Calculus Offered On Line
ADD. KEYWORDS: Course materials for 2nd semester calculus
SOURCE: Don Piele, University of Wisconsin-Parkside
TECHNOLOGY: Mathematica
Calculus on the Web - COW
The Calculus Page
ADD. KEYWORDS: Problems with solutions, Tips on preparing for exams, Mathematica Animations
Calculus Reform at Cornell
ADD. KEYWORDS: Cooperative Learning and Projects
Calculus Reform: Sample Materials
ADD. KEYWORDS: Course Materials, Calculator Programs
Calculus Review - San José State University
ADD. KEYWORDS: Tutorials, On-line quizzes
SOURCE: Linda Valdés, San José State University
TECHNOLOGY: Javascript
Calculus Technology Initiative
ADD. KEYWORDS: Lecture Notes, Animations
SOURCE: Arek Goetz, San Francisco State University
TECHNOLOGY: Quicktime, Real Video, Power Point
Calculus with Maple V
ADD. KEYWORDS: Maple lessons, Homework
Calculus with Maple V
ADD. KEYWORDS: Course Materials, Maple, Lab Materials, Projects
Calculus Workshops and Maple Labs
ADD. KEYWORDS: First Year Integrated Engineering Curriculum, Maple, Lab materials
Calculus WWW-server
ADD. KEYWORDS: Course Materials, Maple, Matlab, Projects, Applications
CalculusQuest
ADD. KEYWORDS: Course Materials
Casio TEAMS Grant - Calculus
ADD. KEYWORDS: Lesson Plans, Casio Calculator
Complex, Technology Based Problems in Calculus Home Page
ADD. KEYWORDS: Problem sets, Mathematica
Computer Labs for Math
ADD. KEYWORDS: Graphing Polynomial Functions, Graphing Trigonometric Functions, One- and Two-sided Limits, Tangent and Secant Lines, Zeros of Derivatives, Graphing and Derivatives, Mean Value Theorem, Newton's Method, Riemann Sums, Numerical Integration, 1-1 and Inverse Functions, Review of Exponential and Logarithmic Functions, Inverse Trigonometric Functions, Hyperbolic Functions, Volumes of Solids of Revolution, Arc Length of Curves, Symbolic Integration, Taylor Polynomials, Parametric Functions
SOURCE: Michael R. Anderson, West Virginia State College
TECHNOLOGY: LaTeX, Adobe Acrobat Reader, Derive, MuPad, JKGraph
Computer-based Calculus
ADD. KEYWORDS: Mathcad, Maple, Lab materials
The Connected Curriculum Project - Montana State University
ADD. KEYWORDS: Models, Data, and Curve Fitting, Estimation and Limits, Sequences and Discrete Dynamical Systems, Derivatives and Differention, Graphing, Optimization, Integrals and Integration, Differential Equations and Continuous Models, Series, Numerical Methods, Calculators, Maple, Mathematica
The Connected Curriculum Project - Duke University
CRAFTY - MAA Subcommittee on Calculus Reform and The First Two Years
ADD. KEYWORDS: Publications, Meetings, Calculus Reform Projects, Technology, Problems
SOURCE: Martin Flashman, Humboldt State University
Dan's math@home lessons - Calculus
ADD. KEYWORDS: Tutorial, Limits, Tangent Lines and Derivatives, Differentiation Rules, Related Rates, Max-Min Problems, Antiderivatives, Integration Rules, Calculus of Areas, Fundamental Thm of Calculus
SOURCE: Dan Bach, Diablo Valley College
TECHNOLOGY: Animated gifs
DAU Math Refresher
ADD. KEYWORDS: Tutorial, Tests, Basic Arithmetic, Fractions, Exponentials & Logarithms, Equations, Series, Functions, Domains & Ranges, Intercepts, Limits, Graphing of Functions, Derivatives, Integrals
Dave Slomer's Calcu-Page
ADD. KEYWORDS: Lesson plans, Assignments for students, TI85, TI86, TI92
Derivative Module
ADD. KEYWORDS: Motion, Speed, Velocity, Acceleration
Developing Intuition for Concepts in Calculus through Numerical List Manipulation
ADD. KEYWORDS: Article, Matlab, Mathematica, Maple, APL, HP48G, TI85
Dr. Vogel's Gallery of Calculus Pathologies
e-Calculus
ADD. KEYWORDS: Tutorial
e the EXPONENTIAL - the Magic Number of GROWTH
ADD. KEYWORDS: Article, Area under the curve 1/x, The truncated Harmonic series, Euler's gamma constant, Biological growth models, Age dependent population module
SOURCE: Keith Tognetti, University of Wollongong
TECHNOLOGY: Adobe PDF, postscript and dvi readers
EducETH - Interaktive Materialien ( in German)
ADD. KEYWORDS: Bisection Method, Finding Maxima and Minima, Finding area under a curve, Tangent Lines
SOURCE: Werner Hartmann and EducETH.ch at ETHZ
TECHNOLOGY: Java applets
Experiments in Mathematics Using Maple
ADD. KEYWORDS: Tutorial, Maple Worksheets
EXPONENTIAL GROWTH AND DECAY
Finding Roots of Functions Using The Bisection Method and Newton's Method
Function calculator
ADD. KEYWORDS: Evaluate functions, Calculate derivatives, Integrals, Taylor Series expansions, Roots and Extrema
Function Plotter
ADD. KEYWORDS: Taylor Polynomials
The Gamma Function
ADD. KEYWORDS: Weierstrass' formula, the Psi function, Euler's constant, Stirling's formula
Gavin's Calculus Projects
Geomath
ADD. KEYWORDS: Tutorial, Differentiation, Integration
Geomath - Further Integration

ADD. KEYWORDS: Tutorial
Graphing Applets for Calculus
ADD. KEYWORDS: Newton's method, Riemann sums, Modulus of continuity, Fixed Points, Fundamental Theorem of Algebra, Newton-Raphson Method, Lagrange Multipliers, Secant Lines, Simpson's Rule
Harvey Mudd College Mathematics Tutorials
ADD. KEYWORDS: Antiderivatives, Arc Length, Chain Rule, Computing Integrals by Completing the Square, Computing Integrals by Substitution, Continuity, Differentiating Special Functions, First Derivative, Fundamental Theorem of Calculus, Infinite Series Convergence, Integration by Parts, L'Hopital's Rule, Limit Definition of the Derivative, Mean Value Theorem, Partial Fractions, Product Rule, Quotient Rule, Riemann Sums, Second Derivative, Special Trigonometric Integrals, Tangent Line Approximation, Taylor's Theorem, Trigonometric Substitution, Volume
IntegGrapher
ADD. KEYWORDS: Riemann Sums
The Integrator
ADD. KEYWORDS: Integration, Integrals, Mathematica
Interactive Calculus Activities
ADD. KEYWORDS: MathView Notebooks
Interactive Calculus - Parametric Equations
Interactive Calculus Software with Applications in Business and Economics
ADD. KEYWORDS: Lab activities, Asymptotes, Families of Functions, From Data To Models, Compound Interest, Tangents and Slopes, Definition of Derivative, Inverses, Concavity, Optimizing Costs, Optimizing Revenue and Profits (including Elasticity of Demand), Taxes and the Optimization of Profit, Inventory Costs, Accumulation, Definite Integral, Numerical Integration, Linear Regression, Partial Derivatives, Taylor Polynomials
SOURCE: Jean Marie McDill, California Polytechnic State University, Agnes M. Rash, St. Joseph's University
TECHNOLOGY: Adobe PDF reader
Interactive EXCEL
ADD. KEYWORDS: Excel worksheets, Calculus, Curve fitting, Partial Differential Equations, Heat Equation, Parabolic and Elliptic Partial Differential Equations, Discrete Dynamical Systems
Interactive Learning in Calculus and Differential Equations
ADD. KEYWORDS: Instructional, Mathematica, Gauss-Green formula, Newton's method, vibrating drumheads, multivariable calculus, orthogonal curvilinear coordinates, complex numbers, drag force on a sphere
Interactive Web-Based Materials for Calculus Using LiveMath
ADD. KEYWORDS: 2-dimensional Graphing, 3-dimensional Graphing, Polar Graphing, Fourier Series, Surface in Spherical Coordinates, Numerical Integration, Symbolic Integration, Riemann sums, Fundamental Theorem of Calculus, Limit Demonstration, Polar Integration
SOURCE: Brian Gill, Seattle Pacific University
TECHNOLOGY: LiveMath
Interactive Mathematics
ADD. KEYWORDS: Tutorial, LiveMath, Derivative, Applications of the Derivative, Differentiating Transcendental Functions, Integration, Application of Integration, Methods of Integration, Differential Equations, Fourier Series
Internet Calculus - University of Pittsburgh
ADD. KEYWORDS: Mathematica, Distance Learning
Intersection of Cylinders
ADD. KEYWORDS: Finding volumes
Java Laboratory
ADD. KEYWORDS: Definition of derivative, Riemann Sums, Fixed Points
Java Powered Calculus
ADD. KEYWORDS: Tutorial, History of Calculus
Karl's Calculus Tutor
ADD. KEYWORDS: Tutorial
Manipula Math with JAVA
ADD. KEYWORDS: Limits, Riemann Sums, Volumes, Circle of Curvature, Cycloids
Maple Explorations for Differential Calculus
Materials for Calculus
Math 1205 - Calculus
ADD. KEYWORDS: Course Materials, Tutorials, Limits, Derivatives, Applications of the Derivative
SOURCE: James E. Shockley, Virginia Tech
TECHNOLOGY: Quicktime Plug-in
Math Forum - Calculus
ADD. KEYWORDS: Classroom materials, software, newsgroups
Math Lessons
ADD. KEYWORDS: Finding Minimum, Integration and Differentiation, Fair Division, Voting, Venn Diagrams, Understanding Graphs, Equations of Lines, Acceleration, Intersecting Lines, Parabolas, Tangent Lines
SOURCE: Faculty from Washington State University
TECHNOLOGY: Java applets and Javascript
MATH-abundance
ADD. KEYWORDS: Tutorials, Limits of Functions and Continuity, Asymptotes, Derivative and Differentiation, Problems
Mathematica Self-Tutor for Calculus
ADD. KEYWORDS: Tutorials, Mathematica Notebooks
Mathematics Explorations I & II
ADD. KEYWORDS: Projects involving activities at NASA
SOURCE: Capital Community College, NASA - AMATYC - NSF
TECHNOLOGY: Adobe Acrobat Reader
Mathematical Modules in Biology and Chemistry
ADD. KEYWORDS: Epidemiology, Course Materials
SOURCE: Meghan A. Burke and Sean F. Ellermeyer from Kennesaw State University
Maths Online
ADD. KEYWORDS: Differentiation, Power series, Nowhere differentiable functions, Integration, Fourier seriesi, Limiting processes
The MathServ Calculus Toolkit
ADD. KEYWORDS: Computing Limits, Derivatives, and Integrals, Newton's Method, Power Series, Solid of revolution, Direction Field, Quadrature Formulas, Arc length, Center of mass
MCP Project
ADD. KEYWORDS: Lab Manual, Chemistry, Physics, MathCAD
Moving Man Project
ADD. KEYWORDS: Distance, Velocity, Acceleration
Microsoft Excel Interactive Projects
ADD. KEYWORDS: Maximzing Area, Projectile Motion
SOURCE: Hollylynne Drier Stohl and Center for Technology and Teacher Education, University of Virginia
TECHNOLOGY: Excel
MSTE Java Lessons - Calculus
ADD. KEYWORDS: Numerical Integration Activity, Methods for Estimating Roots, Solving Systems of Equations
SOURCE: Nicholas Exner, University of Illinois at Urbana-Champaign
TECHNOLOGY: Java Applets
Multivariable Calculus Maple Laboratories
ADD. KEYWORDS: Dot Products, Parametric Curves, Polar Curves, Integration, Plotting Surfaces, Surface Extrema, Sequences and Series, Koch Snowflakes
SOURCE: Murphy Waggoner, Simpson College
TECHNOLOGY: Maple
Numerical Integration Tutorial
Occasional Maple Worksheets for Calc II
ADD. KEYWORDS: Maple, Integration Check, Numeric Integration, Error Bounds for Numeric Integration, Animating Taylor Series, Working with Power Series as Functions, Producing Slope Field Diagrams
Partnership for Excellence - Rediscovering Calculus: A Reformed View
ADD. KEYWORDS: Lesson Plans, Course Materials
SOURCE: Partnership for Excellence Project, University of South Carolina Spartanburg
Pathological example for Newton's method
Project CALC: Calculus As a Laboratory Course
Project Links: Calculus
ADD. KEYWORDS: Applications in Mechanics, Applications in Chemistry, Tutorial
Reform Calculus Resources
ADD. KEYWORDS: In-Class Activities, Long-Term Student Projects, Capsules & Tutorials
SOURCE: Harel Barzilai, Salisbury University
The Roller Coaster or Brachistochrone Problem
S.O.S. Mathematics - Calculus
ADD. KEYWORDS: Tutorials, Techniques of Integration, Taylor Polynomials, Series
Sigma
ADD. KEYWORDS: Finite Sums, Infinite sums
SIMPLE HARMONIC MOTION
ADD. KEYWORDS: Tutorial
Solution Finder
ADD. KEYWORDS: Newton's Method
Surfin' Sinefeld: Flash Animated Precalculus, Calculus and Statistics Activities
ADD. KEYWORDS: Graphing, Derivatives, Quizzes
SOURCE: Ralph Irons, Central Shenandoah Valley Regional Governor's School
TECHNOLOGY: Flash plugin
Taylor Series - Why We Want Them and How We Find Them
Technology Modules (TI-85 Based) to Supplement the Instruction of Calculus I at Texas Tech University
TILU Table of Integrals Look Up
ADD. KEYWORDS: Mathematica, Common Lisp
Topics in Integral and Differential Calculus
ADD. KEYWORDS: Tutorial, Introduction to Functions, Polynomial Functions, Trigonometric Functions, Exponential & Logarithmic Functions, The Derivative, Some Differentiation Formulas & the Chain Rule, Differentiating Trigonometric Functions, Some Max-Min Problems, The Definite Integral of a Continuous Function, Taylor Polynomials and Taylor Series, Plane Vectors, The Spring
SOURCE: Teresinha Kawasaki, University of Texas at Austin
TECHNOLOGY: Java Applets, WebEQ, TCL
Trigonometric Integrals
ADD. KEYWORDS: Tutorials
UBC Calculus Online
ADD. KEYWORDS: Course Materials, Course Notes, Labs, In class demonstrations: Falling Balls, Slope, Powers of x, Polynomials, Scaling, Radioactive Decay, Zoom, Secant Lines, Derivative as a function, Vertical Scaling, Critical Points, The Chain Rule, Implicit Differentiation, Exponentials,
Logarithms, Derivatives of Exponentials, Radioactive Decay, Newton's Law of Cooling, Trigonometry, Derivatives of Trigonometric Functions, Oscillations, Harmonic Motion, Superposition, Inverse Tangent, Linear Approximations, Newton's Method, Euler's Method, Direction Fields, Epidemics
SOURCE: Department of Mathematics at the University of British Columbia
TECHNOLOGY: Java Applets
UBC Calculus Online
ADD. KEYWORDS: Course Materials, Course Notes, Labs, In class demonstrations: How Archimedes found the area of a circle, Finding areas of simple shapes, How the area changes, Lower and Upper Sums, The Fundamental Theorem of Calculus, Average value of a function, Volumes, Arc Length, Change of variables, The Trapezoidal Rule, Simpson's Rule, Introduction to Differential Equations, Initial Value Problems, Orthogonal Trajectories, The Logistic Equation, Logistic Growth with Harvesting, Predators and Prey, Center of Mass, Standard Deviation, The Normal Distribution, Series, Taylor Series, Series for sine and cosine
SOURCE: Department of Mathematics at the University of British Columbia
TECHNOLOGY: Java Applets
The University of Minnesota Calculus Initiative
ADD. KEYWORDS: Lab Materials, Applications
USAF Mathematica Notebook Library
ADD. KEYWORDS: Mathematica, Animations
USMA MA205 Home Page
ADD. KEYWORDS: Course Materials, MathCad Worksheets
USNA Calculus I Homepage
ADD. KEYWORDS: Course Materials, Computer Projects, Maple
USNA Calculus II Homepage
ADD. KEYWORDS: Course Materials, Computer Projects, Maple
The Vector Cross Product - A JAVA Interactive Tutorial
ADD. KEYWORDS: Calculus, interactive pages
Visual Calculus
ADD. KEYWORDS: Tutorial, online quizzes, drill problems, calculators, software, visualization
Wallis' Product
ADD. KEYWORDS: Calculus, history, pi, interactive pages
Web-based Are You Ready Quiz/Reviews
Webcalc
ADD. KEYWORDS: Course Materials, Lab Materials
WebMath - Calculus- Derivatives
WIMS - WWW Interactive Mathematics Server
ADD. KEYWORDS: Online exercises, Taylor Series, Epsilon-Delta definition of limits, Maxima/Minima, Finding roots
Worksheet library ~ Calculus
ADD. KEYWORDS: Worksheets, Differentiation and Integration
SOURCE: Mike Robinson, Sheffield Hallam University
TECHNOLOGY: Adobe Acrobat Reader
World Web Math - Calculus (MIT)
ADD. KEYWORDS: Tutorial
Wright State Calculus Laboratory Program
ADD. KEYWORDS: Mathematica Notebooks
Writing Assignments in Calculus
Writing Assignments in Calculus
www.calculus.net
ADD. KEYWORDS: Problem Sets, Lab Projects, Homework, VRML and Calculus
xFunctions xPresso
ADD. KEYWORDS: animated graphs, parametric curves, derivatives, Riemann sums, integral curves, and 3D graphs.