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Complex Analysis: Residues and Real Integrals

For Students Higher Ed
In this integral instructional activity, students evaluate contour integrals and real integrals. This two-page instructional activity contains approximately three problems. Some explanations and definitions are provided.
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Complex Analysis: Compute Residues

For Students Higher Ed
In this residue worksheet, students use the Laurent series formula to compute residues. This two-page worksheet contains five problems.
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Complex Analysis: Functions

For Students Higher Ed
In this function worksheet, students find the residues of all singularities of a given function. They use Cauchy's Second Residue Theorem to evaluate the functions. This four-page worksheet contains explanations and examples, with...
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Complex Analysis: Contour Integration

For Students Higher Ed
In this contour integration worksheet, students integrate formulas, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
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Complex Analysis: Examples of Contour Integration

For Students Higher Ed
In this contour integration worksheet, students evaluate an equation, sketch the contour and evaluate the integral. This two-page worksheet contains approximately eight problems.
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Complex Analysis: Path Independence

For Students Higher Ed
In this path independence worksheet, students evaluate contour integrals using the Cauchy-Goursat Theorem. This two-page worksheet contains approximately 5 problems.
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Complex Analysis: Transformations

For Students Higher Ed
In this transformation worksheet, students find the linear transformation of equations and use the Mobius transformation to identify image boundaries. Students describe the images in each quadrant. This two page worksheet contains six...
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Complex Analysis: Graphical Representations

For Students Higher Ed
In this graphical representation instructional activity, students draw an Argand diagram depicting complex numbers. They draw in vectors that represent complex numbers. This three-page instructional activity contains approximately ten...
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Complex Analysis: Polar & Exponential Forms

For Students Higher Ed
In this polar and exponential form worksheet, students use Euler's Formula to write complex numbers in exponential form. They write numbers in rectangular form. This two-page worksheet contains seven multi-step problems.
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Complex Analysis: Polynomial Equations

For Students Higher Ed
In this polynomial equations worksheet, students evaluate roots and draw vector representations. This three-page worksheet contains four problems.
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Complex Analysis: Functions of Complex Variables

For Students Higher Ed
In this function instructional activity, students map equations and identify three dominant characteristics. They evaluate functions of complex variables. This three-page instructional activity contains approximately ten problems.
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Complex Analysis: Graphical Representations

For Students Higher Ed
In this graphical representation worksheet, students draw an Argand diagram depicting two complex numbers in a complex plane. They draw vectors to represent complex numbers. This two-page worksheet contains five equations to solve.
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Complex Analysis: Functions of Complex Variables

For Students Higher Ed
For this complex variable worksheet, students explore the functions of a complex variable. They map complex variables and solve complex inequalities. This three-page worksheet contains fourteen problems.
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Complex Analysis: Polynomial Equations

For Students Higher Ed
In this polynomial equation learning exercise, students explore real fractional powers of complex numbers. This three-page learning exercise contains examples, explanations and approximately seven problems.
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Multivariable Calculus: Limits of Multivariable Functions

For Students Higher Ed
In this multivariable function worksheet, students find the limits of a function, identify the domain, and explore continuous functions. This two page worksheet contains explanations, definitions, and examples. There are approximately...
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Math 224: Review of Linear Systems

For Students Higher Ed
In this linear systems learning exercise, students find the intersection of two planes, and identify solutions for a linear equation. This two-page learning exercise contains five problems.
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Multivariable Calculus: Visualizing Multivariable Functions

For Students Higher Ed
In this multivariable functions worksheet, students graph functions and describe the level sets of the function. This two page worksheet contains approximately ten problems.
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Linear Systems: The Determinant

For Students Higher Ed
In this determinant worksheet, students find the determinants of matrices. They identify patterns and their relationship to the canonical matrix. This two-page worksheet contains approximately nine problems, as well as examples and...
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Changing Order of Integration of a Triple Integral

For Students 11th - Higher Ed
In this math worksheet, students practice writing the 5 integral solutions. Then they sketch pictures of the volume that is integrated.
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Errors in Riemann Sums

For Students Higher Ed
In this Riemann Sums worksheet, students use the Riemann Sums method to approximate the area under the curves. This two-page worksheet contains three problems.
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Trigonometric Examples of Integration by Substitution

For Students Higher Ed
In this integration activity, students use trigonometric identity and integration by substitution to solve given integrals. This two-page activity contains three problems.
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Area, Riemann Sums and Summation Notation

For Students Higher Ed
In this math instructional activity, students solve four problems written in sigma notation. They use Riemann sums to find the areas in four problems involving rectangles. Students work in groups to compute the Riemann sum approximations...
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Euler's Method and the S-I-R Model of Disease

For Students Higher Ed
In this Euler's method worksheet, students determine algebraic expressions for quantities in given terms. Next, they use Euler's Method to identify the information. Lastly, they confirm their calculations through the S-I-R method. ...
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The Definition Derivative

For Students Higher Ed
In this derivative activity, students evaluate limits, factor equations, and calculate the given function. They determine the derivative of a function and plot it on a graph. This four-page activity contains eight problems.

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