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General Information
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For Students
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For Instructors
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Miscellaneous
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Functions
- Notations
- Operations on Functions
- Applet 2 (Graphs of f+g, f-g, f*g, and f/g)
- Symmetry
- Applet 3 (Odd and Even Functions) : Test if a function is odd or even by looking at the graphs of f(-x) and -f(-x)
- New Functions from Old
- Applet 4 (Stretching and Compression of a Function) : Look at the graph of A*f(B*x) and observe the effects of changing A and B.
- Applet 5 (Translation of a Function) : Look at the graph of A+f(B+x) and observe the effects of changing A and B.
- Applet 6 (New Functions from Old) : Make new functions from old ones by reflecting, translating and stretching.
- Applet 7 (New Functions from Old Game) : For a function out of a list, there is a proposed target function that can be obtained by performing a sequence of transformations on the given function. In each example you have to find such a sequence of transformations that make the graphs coincide.
- Symmetry
- New Functions from Old
- Self Test 2 (Quiz on Transformation of Functions) : Determine the relationship between two graphs where one is f(x) and the other is A*f(x) or f(A*x), or f(x)+B, or f(x+B) etc. Comes with instant checking.
- Applet 8 (Function Composition)
- Trigonometric Functions
- Applet 9 (Defining sin(x) and cos(x) on a circle)
- Trigonometric Identities
- Applet 10 (Trigonometric Identities) : Choose a target function, and then choose a basic function that you believe can be transformed into the target through a series of transformations -- stretching, shifting, or reflections.
- Exponents
- Logarithms
- Applet 12 (Introduction to Log Functions) : A step by step introduction to log functions with interactive graphs.
- Applet 13 (Logarithms)
- Inverse of Functions
- Intersection of Two Functions
- Overview
- Least Squares Approximation
- Applet 18 (Least Squares Approximation) : This applet explores fitting a polynomial p(x) of degree n to a given set of data points. It computes the best least squares approximation to the data, "best" in the sense that SUM (p(xi) - yi)^2 is minimized.
- Word Problems
Look at all MATH online learning modules.
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