Difference between revisions of "ModelCourses/Reform Calculus"
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[https://test.webwork.maa.org/webwork2/Calculus_Reformed/ Try out Reformed Calculus] |
[https://test.webwork.maa.org/webwork2/Calculus_Reformed/ Try out Reformed Calculus] |
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| + | * Properties of elementary functions |
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| + | * Find limits. |
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| + | * Concepts of continuity and differentiability |
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| + | * Symbolically compute derivatives. |
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| + | * Find derivatives graphically and numerically. |
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| + | * Solve optimization problems |
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| + | * Solve related rates problems |
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| + | * Local linearity |
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| + | * The geometric interpretation of the integral |
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| + | * Riemann Sums. |
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| + | * Integrate basic functions. |
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| + | * Fundamental theorem of calculus. |
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| + | * Symbolically integrate functions using a variety of techniques. |
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| + | * Find integrals numerically. |
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| + | * Determine if an improper integral converges or diverges. |
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| + | * Compute volumes of rotation |
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| + | * Apply knowledge of integration in an applied setting. |
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| + | * Compute Taylor and McLaurin Series. |
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| + | * Determine if a sequence converges or diverges |
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| + | * Determine if a series converges or diverges |
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| + | * Solve simple differential equations |
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Revision as of 12:27, 6 August 2012
This calculus model covers the entire calculus sequence from a reform point of view. A specific course can be created from this mega-course by choosing choosing the appropriate topics (and deleting the rest).
- Properties of elementary functions
- Find limits.
- Concepts of continuity and differentiability
- Symbolically compute derivatives.
- Find derivatives graphically and numerically.
- Solve optimization problems
- Solve related rates problems
- Local linearity
- The geometric interpretation of the integral
- Riemann Sums.
- Integrate basic functions.
- Fundamental theorem of calculus.
- Symbolically integrate functions using a variety of techniques.
- Find integrals numerically.
- Determine if an improper integral converges or diverges.
- Compute volumes of rotation
- Apply knowledge of integration in an applied setting.
- Compute Taylor and McLaurin Series.
- Determine if a sequence converges or diverges
- Determine if a series converges or diverges
- Solve simple differential equations
