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Advanced Electromagnetism and Electromagnetic Induction
In this electromagnetism and electromagnetic induction worksheet, students answer 11 questions using calculus to determine things such as magnetic flux and wave output.
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Euler's Method
In this calculus worksheet, students answer 14 short-answer questions regarding Euler's Method, rate equations, initial conditions, and slope functions.
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Solar Flare Reconstruction
In this solar flare reconstruction worksheet, students read about the 'saturation' point of satellite detectors when solar flares are at their most intense phase of brightness. Students are given x-ray flare data and they re-plot the...
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Beyond the Blue Horizon...Advanced
In this calculating the horizon instructional activity, students solve 6 problems using algebra, derivatives and calculus to find the formula for the line-of-sight horizon, the distance along a planet, the horizon distance and the rates...
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Extrema on an Interval
Students explore maximum and minimum points, slopes and tangents. In this Pre-Calculus lesson, students solve optimization problems and find rates of change.
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Parametric, Vector, Polar, and 3D Functions
Twelfth graders investigate the capabilities of the TI-89. In this calculus lesson, 12th graders explore the parametric equation for a circle, for arc length of curves, and for trajectories. Students investigate the symbolic...
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Limit of a function
In this calculus worksheet, 12th graders determine the limit of a function at the indicate value. The one page worksheet contains eighteen problems. Answers are not included.
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Multivariable Calculus: Divergence
In this divergence worksheet, students explore the definitions of divergence and a curl. Given equations, students compute the divergence and the curl. This two-page worksheet contains four problems.
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Multivariable Calculus: Green's Theorem
In this Green's Theorem instructional activity, students compute the value of the line integral. This two-page instructional activity contains explanations, examples, and three problems to solve.
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Multivariable Calculus: Conservative Vector Fields
In this vector field worksheet, students explore the properties of conservative vector fields. They solve problems for a given field. This two-page worksheet contains explanations, examples and five equations.
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Multivariable Calculus: Change of Variables Theorem
In this change of variables worksheet, students complete integral problems through the use of Jacobi's Theorem. They use various methods to convert from Cartesian coordinates to polar, spherical and cylindrical coordinates. This...
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Multivariable Calculus: Multiple Integration
In this multiple integration learning exercise, students define coordinate rectangle, explore what it means to be "bounded on a set," and define the Riemann integral. They find the volume of a graph with specified boundaries and curves....
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Multivariable Calculus: Iterated Integration
In this iterated integration learning exercise, students evaluate iterated integrals over rectangular and non-rectangular regions. This two-page learning exercise contains explanations and examples. It contains three problems for...
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Multivariable Calculus: Multiple Integration
In this multiple integration worksheet, students identify the multiple integration of a given function. They evaluate integrals and identify their value. Students sketch a region of integration, write integrals in terms of rectangular...
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Multivariable Calculus: Introduction to Path Integrals
In this path integral worksheet, students compute line integrals under given conditions, define vector fields, and explore gradient fields, as well as a potential function. This two-page worksheet contains five problems.
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Multivariable Calculus: Extrema of Multivariable Functions
In this multivariable function worksheet, students determine the extrema of multivariable functions, classify critical points, and solve functions with given boundaries. This two page worksheet contains five multi-step problems as well...
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Multivariable Calculus: Curvilinear Coordinates
In this curvilinear coordinate learning exercise, students compute the Jacobian of standard transformations to Cartesian coordinates from polar, spherical and cylindrical coordinates. They identify the determinant of the Jacobian...
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Multivariable Calculus: Extrema of Multivariable Functions
In this multivariable functions learning exercise, students find the extrema of a function under given conditions. They find the maximum and minimum values of functions. This two page learning exercise contains examples, explanations,...
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Multivariable Calculus: Multivaribale Chain Rule
In this multivariable chain rule worksheet, students use the chain rule theorem to complete given problems. This worksheet contains an example, explanations, and thirteen problems to solve.
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Multivariable Calculus: Gradient Fields and Vector Fields
In this gradient field worksheet students draw vectors which correspond to the gradient. They sketch vector fields and identify functions as a vector field or gradient fields. This two-page worksheet contains approximately five...
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Multivariable Calculus: The Gradient
In this gradient instructional activity, students explore the definition of differentiable and gradient. They find the tangent approximation of given situations, and determine the directional derivative. This two-page instructional...
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Multivariable Calculus: The Jacobian Matrix
In this Jacobian matrix worksheet, students identify the derivative matrix of a function and use the tangent approximation to approximate vectors. This two-page worksheet contains six problems.
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Multivariable Calculus: Newton's Method
In this Newton's method worksheet, students produce a sequence of approximations. They use Newton's method to approximate solutions. This two-page worksheet contains explanations and examples. it contains two problems.
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Quiz 8: Multivariable Calculus
Students list all equations needed to solve a three variable equation using the Method of Lagrange, after first signing an honor pledge to promise that they have followed the rules on the first page. They solve each equation, telling the...
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