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You are here: Home → Online resources → Calculus
Online resources for high school calculus & graphing
Tutorials for the Calculus Phobe
Animated little flash movies about limits, continuity and derivative.
Graphics for the Calculus Classroom
Animations illustrating basic calculus concepts.
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
A collection of clear and simple video tutorials for precalculus, limis & continuity, derivaties & their applications, integrals & their applications, sequences, series, polar & parametric functions, vectors, and differential equations.
Calculus for Beginners and Artists
By Daniel Kleitman. Includes 20 chapters of text, Java applets, and some Flash dialogs all completely free and online.
Online Calculus Course Video Tutorials
A collection of free videos for the calculus student.
Calculus by Gilbert Strang
A free download of a regular calculus book for undergraduates. It is well organized, covers single variable and multivariable calculus in depth, and is rich with applications.
Calculus video tutorials from Midnight Tutor
Videos of calculus problems and their solutions. You can also send in your problem and they will post a video of its solution.
Calculus video course
Free videos from university of Houston, covering a complete college calculus course.
Over 6,000 free, online video lessons for basic math, algebra, trigonometry, and calculus. Videos also available in Spanish. Also includes online textbooks. I've written a review of MathTV lessons when they used to be offered on CDs.
Over 2,000 free videos covering all high school math topics from algebra to calculus. Registration required (free).
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.
Calculus in Context
An introductory calculus textbook you can download for free (PDF). It is based on studying calculus as it is used in contemporary science, so that mathematical ideas and techniques grow out of scientific questions.
Calculus Made Easy
A free download (PDF) of an old textbook, acclaimed to be a lively introduction to calculus, with clarity and simplicity.
Derivative Calculator and
Online symbolic calculators for derivatives and integrals. Both tools are designed for intuitive user interaction.
While you type in your expression, it is transformed into a graphical formula in real-time and shown to you, which helps reducing input mistakes. The calculators do not show step-by-step differentiation or integration (not intended for cheating) but work great for checking your homework, or finding the derivative or integral for some other usage.
Visualizing an Infinite Series
An on-line tutorial illustrating geometrically how an infinite
series can have a finite sum.
A tutorial with a series of Java applets about definite integral. En Español.
A math ebook by Dan Umbarger explaining logarithm how's, why's, and wherefore's in all detail for students.
An Easy Way to Remember How Logarithms Work
This is a visual mnemonic to help remember what goes where in the logarithmic equation.
Contains video animations on calculus topics that are most useful for college and high school math instructors to reinforce or clarify what is explained in the class/lecture.
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!
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.
A free, online graphing calculator that is incredibly easy and intuitive to use, yet very powerful. You can use parameters with sliders, define your own functions and constants, graph inequalities, derivatives, and more. You can save, email, print, and embed your graphs.
An online graphing/scientific/matrix/statistics calculator. Includes graphing implicit equations, finding interesections for equations, an equation solver, LCM, GCF, standard deviation, regressions, T-tests, and more.
An 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.
Online graphing calculator
A free online tool to graph up to 5 equations. It also finds intersections of two plots, and you can save the graph as an image to your PC.
AnalyzeMath.com: Interactive Java Applets
Interactive tutorials and problems on precalculus graphing topics where the student interacts with a Java applet.
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.
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.
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).
Calculus by Benjamin Crowell
A short introductory free text for self-study of calculus. Available in many formats for downloading or viewing.
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.
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.
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.
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.
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.
Small but extensive math program for calculations and graphing. Can also define variables and save your calculations.
An open-source scientific graphing calculator for web browsers. It can be stored on a hard drive, accessed over a local or wide area network, or made available via an internet webpage. Provides calculation and graphing tools commonly needed by high school math and science students.
Microsoft Mathematics 4.0
Software that includes a full graphing calculator, equation solver, triangle solver, unit conversion tool, linear algebra solver, and more. Price: free.
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.
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.
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.
A software that includes eight different graphing modes, including implicit mode for conic sections. Other modes support polar, parametric, and piecewise-defined functions, as well as slope fields. You can save your graphs or copy and paste them into other programs, and you can customize colors, line styles, captions, and legends. Includes over 100 built-in functions from calculus, statistics, vectors, complex numbers, and more.
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.
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.
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
HandyGraph produces cartesian graphs and number lines - including empty ones - and graph paper. Especially designed for teachers.
Price: $59 download, a free trial available.
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
- Vector operations
- several numerical methods/area calculations
- geometrical transformations.
- statistical diagrams and data
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
Times Tales is now on DVD
The fast, FUN, and easy way to learn multiplication. Learn the upper times tales in two sittings using mnemonic stories.