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Mathematics Archives

Math Archives: Visual Calculus: Polar Coordinates

For Students 9th - 10th
This site offers a tutorial for Polar Coordinates. After actively involving in the site, students should be able to convert from rectangular coordinates to polar and from polar to rectangular. Students will also be able to plot points...
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Mathematics Archives

Math Archives: Eccentricity in Polar Conics

For Students 9th - 10th Standards
Good site explaining Eccentricity in Polar Conics. The site is quite detailed.
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Mathematics Archives

Math Archives: Visual Calculus: Transformation of Exponential Functions

For Students 9th - 10th Standards
Good site that allows the student to interactively explore how changing coefficients will change the graph of a function.
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Mathematics Archives

Math Archives: Visual Calculus: Derivative of Exponential Function

For Students 9th - 10th Standards
This site explains how the derivative of an exponential function is found.
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Mathematics Archives

Math Archives: Visual Calculus: Exponential Functions

For Students 9th - 10th Standards
Good site about exponential functions. The site has information on significance, notation, rules, graphs, etc.
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Mathematics Archives

Math Archives: Visual Calculus: Tangent Lines and Parametric Curves

For Students 9th - 10th
This site provides information on tangent lines and parametric curves. It includes formulas and examples.
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Website
Mathematics Archives

Math Archives: Calculus at the University of Tennessee Knoxville: 142 Table of Contents

For Students 9th - 10th
At this site the student can move to sites on various topics in calculus. The site then has a link to both a tutorial and example site
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Mathematics Archives

Math Archives: Visual Calculus: Integration by Parts

For Students 9th - 10th
This site explains Integration by Parts and then has several examples that you can work out on your own. You may check your answers when your finish!
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Mathematics Archives

Math Archives: Visual Calculus: Integration by Parts

For Students 9th - 10th
Excellent site explaining how and why the Integration by Parts works. Go through the formula step-by-step.
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Mathematics Archives

Math Archives: Visual Calculus: Arc Length

For Students 9th - 10th
This site explains the arc length. The site has links to related topics and examples.
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Interactive
Mathematics Archives

Math Archives: Visual Calculus: Families of Exponential Functions

For Students 9th - 10th Standards
This site shows a visualization of families of exponential functions.
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Mathematics Archives

Math Archives: L'hospital's Rule

For Students 9th - 10th
On this site the student can work the problems then check the solution online
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Mathematics Archives

Math Archives: Visual Calculus: Tangent Lines

For Students 9th - 10th
This is a detailed site concerning tangent lines to curves. The site gives the limiting definition of the slope of the tangent. This site has a link to a discussion and animation of the approaching secant line, a java applet for the...
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Mathematics Archives

Math Archives: Visual Calculus: Quotient Rule

For Students 9th - 10th
This site gives the quotient theorem and examples that the student can work through.
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Mathematics Archives

Math Archives: Visual Calculus: Antiderivatives/average Value of a Function

For Students 9th - 10th
This site has the definition of average of a function by using integrals. The site also contains the proof of the mean value theorem which may be viewed one step at a time. There are links to related exercises whose answer is shown one...
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Mathematics Archives

Math Archives: Visual Calculus: Fundamental Theorem of Calculus 12

For Students 9th - 10th
This site uses an example to explain the fundamental theorem of calculus. The student can change the problem. At the bottom of the page is a link to a table of elemantary indefinite integrals.
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Mathematics Archives

Math Archives: Visual Calculus: Comparison Test

For Students 9th - 10th
Visual Calculus briefly states the comparison test theorem with the proof and exercise solutions as links.
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Graphic
Mathematics Archives

Math Archives: Visual Calculus: Functions

For Students 9th - 10th Standards
Use this site to find the defintion of a function. The site offers a discussion on the vertical line test, symbolic, numerical and verbal discussions on the definition of a function.
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Graphic
Mathematics Archives

Math Archives: Visual Calculus: Tangent Lines to Polar Graphs

For Students 9th - 10th
This site give the formula for finding the slope of the tangent line to a polar graph. The page offers step by step explanations and worked examples.
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Mathematics Archives

Math Archives: Linear Equation Programs

For Students 9th - 10th Standards
This site contains a downloadable tool that can solve up to 30 simultaneous linear equations in 30 unknowns.
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Mathematics Archives

Math Archives: Visual Calculus: Fundamental Theorem of Calculus

For Students 9th - 10th
This site visually explores the fundamental theorem of calculus. On-line animation helps the student visualize the process.
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Mathematics Archives

Math Archives: Visual Calculus: Newton's Method

For Students 9th - 10th
This site offers a tutorial on Newton's Method. Be sure to check the discussion link. The site offers the formula for finding the successive approximations of a root.
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Mathematics Archives

Math Archives: Horizontal Asymptotes

For Students 9th - 10th
This site from the University of Tennessee defines horizontal asymtopes. Gives sample and example problems.
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Mathematics Archives

Math Archives: Exponential Functions

For Students 9th - 10th Standards
This site explores the difference between two types of graphs, one of which is exponential. Requires LiveMath plug in.