Online resources for high school calculus & graphing

Calculus

Tutorials for the Calculus Phobe
Animated little flash movies about limits, continuity and derivative.
www.calculus-help.com/funstuff/phobe.html

Graphics for the Calculus Classroom
Animations illustrating basic calculus concepts.
www.ima.umn.edu/~arnold/graphics.html

Visual Calculus
A collection of modules from pre-calculus till sequences and series that uses lots of numerical and graphical illustrations, Flash tutorials, animations, etc.  Some of the discussion is on college level. 
archives.math.utk.edu/visual.calculus/

Calculus for Beginners and Artists
By Daniel Kleitman. Includes 20 chapters of text, Java applets, and some Flash dialogs all completely free and online.
www-math.mit.edu/%7Edjk/calculus_beginners/

Visualizing an Infinite Series
An on-line tutorial illustrating geometrically how an infinite series can have a finite sum.
math.rice.edu/~lanius/Lessons/Series/infinite.htm

Integral Definida
A tutorial with a series of Java applets about definite integral.  En Español.
www.xtec.es/~jlagares/integral.esp/integral.htm#E1

Notes on first-year Calculus
Free college level calculus text in PDF form.  Good for refreshment or for concise notes but not for first time learners.
www.math.umn.edu/~garrett/calculus/

Free Calculus e-books at XPMath.com
load calculus texts as PDF ebooks.
www.xpmath.com/ebooks/math.php

MathLogarithms.com
A math ebook by Dan Umbarger explaining logarithm how's, why's, and wherefore's in all detail for students.
www.MathLogarithms.com

Online math tutors to help with math homework are available 24/7 at Tutor.com.

Graphing activities

Function Flyer
Create graphs of functions but also allows the manipulation of constants and coefficients in any function so the user can explore the effects on the graph by changing those numbers.  Great tool!
www.shodor.org/interactivate/activities/flyall/index.html

Function, derivative, and integral
Modify the given graph by dragging points and the applet dynamically shows the derivative, the integral, the tangent, the shading.  Would be more useful with a lesson plan (provide yourself?) but still very illustrative.
www.cut-the-knot.com/Curriculum/Calculus/CubicSpline.shtml

Graphing

WebGraphing.com
Online graphing calculators for functions, equations, and inequalities with automatic analysis of graphs' properties. Automatic optimal viewing window, displays asymptotes, discontinuities, piecewise graphing, etc. Also 'guess the graph', galleries, articles on graphing concepts and tricks. Very useful for high school students and teachers.
www.webgraphing.com

AnalyzeMath.com: Interactive Java Applets
Interactive tutorials and problems on precalculus graphing topics where the student interacts with a Java applet.
www.analyzemath.com

Function Flyer
Creates graphs of functions but also allows the manipulation of constants and coefficients in any function so the user can explore the effects on the graph by changing those numbers.  Great tool!  Student would get more out of it if there was a guideline or lesson plan to follow in the explorations.
www.shodor.org/interactivate/activities/flyall/index.html

The Function Institute from Zona Land
Comprehensive discussion on definition of a function with Java applets that illustrate very clearly one-to-one, one-to-many, many-to-one concepts. Also has pages on different types of functions (linear, polynomial, rational, exponential, trigonometric) and interactive graphs of those.
id.mind.net/~zona/mmts/functionInstitute/functionInstitute.html

Mathinsite Products
A collection of very instructive Java applets with tutorial worksheets on graphing different functions (line, parabola, exponential function, circle, ellipse, trig functions, complex numbers and more).
mathinsite.bmth.ac.uk/html/applets.html

Functions, Graphing, and Modeling
A large interactive tutorial using a Java program as a graphing tool, aimed to prepare students for calculus.  Topics include functions, graphing, exponential, logarithmic, trigonometric, and algebraic functions.
campus.northpark.edu/math/PreCalculus/TOC.html

MathsNet Interactive Graphs
Get a clear and complete understanding of coordinates and graphs with this very comprehensive and extensive step-by-step tutorial. Every page is interactive, using either interactive geometry, graphing or algebra applets.  Includes how to plot graphs, all about the geometry of the straight line, tutorials for quadratic, cubic, and reciprocal curves, circles, solving, and more. 
www.mathsnet.net/graphs/index.html

Maths Online Gallery: Functions 1
Collection of Java applets with exercises and some lesson plans: Function and graph, Recognize function graphs puzzles, Polynomial of third order, and a Function plotter.
www.univie.ac.at/future.media/moe/galerie/fun1/fun1.html#funktion

Maths Online Gallery: Functions 2
Collection of Java applets with exercises:  Recognize function graphs puzzles that concentrate on negative power functions and trigonometric functions, and graph collections of exponential & logarithmic functions, and trigonometric functions.
www.univie.ac.at/future.media/moe/galerie/fun2/fun2.html#graphenel

Explorelearning Algebra Gizmos for Grades 9-12
Gizmos are dynamic online simulations that let students visualize and experiment with the mathematical concepts. They come with an exploration guide that serves as a lesson plan. Find gizmos for linear, quadratic, exponential, logarithmic, rational, radical, trigonometric functions, polynomials, conics, sequences and series, and more. Excellent resource! Free 30-day trial.
www.explorelearning.com/index.cfm?method=cResource.dspChildrenForCourse&CourseID=126" target="_blank

Software

GraphCalc - Graphing Calculator
This is a powerful, easy-to-use, scientific graphing calculator on your computer.  Make 2D and 3D graphs, different number bases, statistical analysis, calculus, etc.
Price: Free
www.graphcalc.com/

Calc98
Engineering, scientific and financial freeware calculator for Windows. Functions for statistics, use of different number bases, metric units conversions and physical properties and constants. Also has financial and time functions including investment, loan and mortgage calculations, a stopwatch.
Price: Free
www.calculator.org/download.html

SpeQ Mathematics
Small but extensive math program for calculations and graphing. Can also define variables and save your calculations.
Price: Free
www.speqmath.com/

A & G Grapher
A basic 2D/3D graphing program.  Add tangent lines by clicking on the graph, trace the graph, calculate area.  Also draws implicitly defined functions/graphs.  Easy to learn.
Price: A 10-day free trial.  $19.95.
www.runiter.org/grapher.htm

MathGV Function Plotting Freeware for Windows
Plot 2 dimensional, parametric, polar, and 3 dimensional functions. You can add lines, rectangles, circles, round rectangles, flood fills, and text for labels or for artistic effects.  Because the plots are shown with a big screen, and are extremely easy to zoom in/out or move around, MathGV is excellent for visualizing graphs and functions in middle/high school. It does NOT have calculus or tracing tools.
Price: Free
www.mathgv.com/

Mathscribe Lite 2.5.1
Mathscribe is a simple dynamic graphing and mathematical modeling program for algebra, trigonometry and precalculus classes. The free download includes 13 ready-to-print-n-use assignments, which I consider a real benefit of this program.  They cover linear equations, systems of linear equations, and quadratic equations. Also, the program comes with lots of pre-made examples of different kinds of functions for the high school algebra/pre-calculus student. You can also use Mathscribe to mathematically model scientific data, either by typing in the data from scratch, or simply pasting it from a spreadsheet or other program. Mathscribe lacks the zooming in/out and centering functions present in many plotting programs. Its strength is in the ready-made examples and lab sheets, helping the student to connect both symbolic and visual thinking through guided discovery.
Price: Free
www.mathscribe.com/

MathProf
A comprehensive program, like a math professor on your desktop. Not only for algebra, but for analysis, geometry, 3D figures, stochastics, vector algebra, and linear algebra.
Download is free. Price: $45.
www.redusoft.org/

Graphmatica
Very easy to use, fast, compact graphing program.  Plots 2D graphs, implicitly defined functions, in polar coordinates, piecewise, parametric graphing.  Finds derivative and area under curve.  Use a parameter/free variable. Data plotting, curve fitting, differential equations.  Recommended for middle school/high school algebra and calculus.
Price: It's up to you what you pay; if you find Graphmatica easy, helpful, and convenient to use, you are asked to support the release of future versions by sending your contribution to the developer.
www.graphmatica.com/

Advanced Grapher
Intuitively easy to use 2D graphing program.  Many calculus and function analysis features including derivative, tangent/normal, zeros, intersection, integral/area, regression.  Choose between 8 languages.
Price: $29, has 30-day free trial
www.alentum.com/agrapher/index.htm

Autograph
Autograph is a dynamic and very powerful PC graphing program spanning many levels, including Pre-Algebra, Algebra I, Geometry, Algebra II, Trigonometry, Pre-Calc, Discrete Math, Calculus, Differential Equations, Probability, and Statistics.
The numerous features include

• Cartesian plots, implicit functions, gradient/derivative, integral function, reflection in y=x, inequalities, piecewise, parametric, polar equations, differential equations, use of constants, animations. 
• Impressive zoom facilities and coordinate point manipulations, locus, shapes, transformations; regression lines
• Solves zeros,  intersections; mid-points, centers
• Finds tangent, normal; parallel, perpendicular; angle bisector.
• Vector operations
• several numerical methods/area calculations
• geometrical transformations.
• statistical diagrams and data analysis 

You can download a nice collection of examples, materials and worksheets. Recommended for those who are serious about mathematics in high school or college. Single user Price $80. Click here for 30-day preview free download
www.learningteam.org/htmls/autograph.html

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