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Computing Eigenvalues and Eige...
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Analysis of vector curves (Calculus) |
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Discusses methods for computing eigenvectors of different kinds of matrices.
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Continuous Functions
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Continuity (Calculus) |
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An introduction to continuity; explores different definitions of a continuous function, including the epsilon-delta definition.
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Definite Integrals
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Riemann sums: int. as lim. (Calculus) |
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Defines a definite integral as the limit of Riemann sums.
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Demos for Related Rates Proble...
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Related rates problems (Calculus) |
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This page includes a description of solution techniques for (time-dependent) related rates problems, and a gallery of ten "movies" to illustrate different problems.
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Derivative Definitions Applet
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As the lim. of the diff. quot. (Calculus) |
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Detailed directions for producing the Geometer's Sketchpad construction used to create the Derivative Definitions applet.
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Derivative Review 1
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Computation of Derivatives (Calculus) |
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A brief review of rules for calculating derivatives, including the product and quotient rules, chain rule, and implicit differentiation.
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Derivative Review 2
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Applications of Derivatives (Calculus) |
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Brief review of increasing/ decreasing tests, first and second derivative tests for maxima and minima, and related rates.
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Differentiability, the Tangent...
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The graphs of f, f', and f" (Calculus) |
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Discussion of the derivative and differentiability.
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Expressions in the JavaMath Ap...
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General (Calculus) |
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List of expressions and functions that can be used in the Mathlets applets.
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Graphics for the Calculus Clas...
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General (Calculus) |
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Descriptions of Java animations designed for use in teaching calculus.
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Higher Approximations and Tayl...
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Taylor polynomials (Calculus) |
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Introduction to Taylor series as approximations to a function.
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Improper Integrals
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Improper integrals (Calculus) |
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Definitions and discussion of convergence of improper integrals.
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Improper Integrals
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Improper integrals (Calculus) |
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Definitions concerning improper integrals of functions with discontinuities.
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Improper Integrals
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Improper integrals (Calculus) |
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A graph of the function x^(-1.5).
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Improper Integrals
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Improper integrals (Calculus) |
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A graph of the function x^(-1/3).
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Improper Integrals
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Improper integrals (Calculus) |
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A graph comparing the functions 1/x^1.5 and 1/x^(-1/3).
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Improper Integrals
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Improper integrals (Calculus) |
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A graph of the function 1/(x-5)^(4/3).
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Improper Integrals
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Improper integrals (Calculus) |
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Graph of the function e^(5x).
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Improper Integrals
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Improper integrals (Calculus) |
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Graph of the function 1/(x^2+25).
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Improper Integrals
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Improper integrals (Calculus) |
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Graphs the function x e^(-5x^2).
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Improper Integrals
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Improper integrals (Calculus) |
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Graph of the function e^(-7x) |sin(x)|.
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Improper Integrals
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Improper integrals (Calculus) |
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A graph of the function 1/(x^(1/3) - 1).
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Improper Integrals
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Improper integrals (Calculus) |
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A graph of the function 1/(x^(1/3) - 1) compared to a function whose integral from 8 to infinity converges.
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Improper Integrals
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Improper integrals (Calculus) |
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Graph of the function 1/(9-x)^.75.
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Improper Integrals
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Improper integrals (Calculus) |
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Graph of the function 1/(9-x)^(4/3).
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