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
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
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
Technology Initiative
ADD. KEYWORDS: Lecture Notes, Animations
SOURCE: Arek Goetz, San Francisco State University
TECHNOLOGY: Quicktime, Real Video, Power Point
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
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
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
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
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
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
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
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 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
Mathematics Explorations I &
II
ADD. KEYWORDS: Projects involving activities at NASA
SOURCE: Capital Community College, NASA - AMATYC - NSF
TECHNOLOGY: Adobe Acrobat Reader
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
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
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
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
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