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Complex Analysis: Cauchy-Reimann Equations
In this Cauchy-Riemann equation worksheet, students derive the Cauchy-Riemann equations by using the definition of the derivative function. This two-page worksheet contains seven problems.
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Complex Analysis: Polynomial Equations
For this polynomial equation worksheet, students explore real fractional powers of complex numbers. This three-page worksheet contains examples, explanations and approximately seven problems.
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Multivariable Calculus: Divergence
In this divergence activity, students explore the definitions of divergence and a curl. Given equations, students compute the divergence and the curl. This two-page activity contains four problems.
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Multivariable Calculus: Green's Theorem
For this Green's Theorem worksheet, students compute the value of the line integral. This two-page worksheet 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
For this multiple integration worksheet, 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 worksheet, students evaluate iterated integrals over rectangular and non-rectangular regions. This two-page worksheet contains explanations and examples. It contains three problems for students to work.
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Multivariable Calculus: Multiple Integration
In this multiple integration activity, 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 worksheet, students compute the Jacobian of standard transformations to Cartesian coordinates from polar, spherical and cylindrical coordinates. They identify the determinant of the Jacobian matrices. This...
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Multivariable Calculus: Extrema of Multivariable Functions
In this multivariable functions worksheet, students find the extrema of a function under given conditions. They find the maximum and minimum values of functions. This two page worksheet contains examples, explanations, and five problems.
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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 worksheet, students explore the definition of differentiable and gradient. They find the tangent approximation of given situations, and determine the directional derivative. This two-page worksheet contains examples,...
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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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Multivariable Calculus: Dot Product
In this dot product learning exercise, students identify the properties of the dot product. They sketch vectors and obtain expressions for diagonals. This two-page learning exercise contains examples and explanations with two problems.
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Multivariable Calculus: Introduction to Vectors
In this vector learning exercise, students find the length of vectors and the distance between two points. This two-page learning exercise contains examples, definitions, and explanations, as well as two problems.
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Multivariable Calculus: Euclidean Geometry
In this Euclidean geometry worksheet, students determine if planes are parallel or perpendicular to each other. They identify the vector position. This two-page worksheet contains definitions, examples and explanations of how to do the...
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Multivariable Calculus: Parametric Equations of Lines and Planes
In this parametric equation worksheet, learners find a parametric representation by using the vector formula. They find the equation of a plane passing through given points. This two-page worksheet contains examples, explanations and...
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Multivariable Calculus: Review of Linear Systems
In this linear system worksheet, learners determine the point of intersection between two lines, they complete linear combination problems. This two-page worksheet contains four multi-step problems.
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Multivariable Calculus: Linear Systems
In this linear systems worksheet, students perform matrix multiplication. This two-page worksheet contains examples, explanations, definitions, and four problems.
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