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Complex Analysis: Contour Integration
In this contour integration worksheet, students identify and explain theorems used with evaluating contour integrals. This two-page worksheet contains ten problems.
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Complex Analysis: Cauchy's Integral Formula
In this integral formula worksheet, students evaluate integrals. This worksheet contains examples and explanations of Cauchy's Integral Formula, as well as higher derivatives of analytical functions. There are nine problems on this...
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Complex Analysis: Linear Fractional Transformations
For this linear transformation worksheet, students find and sketch a series of transformations. They map images. This four-page worksheet contains eleven problems, with examples and detailed explanations.
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Complex Analysis: Cauchy's Second Residue Theorem
For this residue theorem worksheet, students evaluate functions, they express functions in terms of a Laurent series, and recall the infinite sequence. This four-page worksheet contains explanations and examples. It includes three...
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Complex Analysis: Using Laurent Series
In this Laurent series worksheet, students use the Laurent Series to evaluate residues. This two-page worksheet contains five equations.
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Complex Analysis: Applications of Residues to Real Integrals
In this real integral activity, students use the applications of residues to evaluate real integrals. This two-page activity contains four problems.
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Complex Analysis: More Applications of Residues
In this applications of residues activity, students evaluate complicated trigonometric integrals and use residues to evaluate the sum of an infinite list of numbers. This two-page activity contains explanations and examples, as well as...
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Complex Analysis: Cauchy Principal Value
In this Cauchy Principal Value activity, students evaluate improper integrals. This three-page activity contains eight problems, as well as explanations and examples.
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Complex Analysis: Contour Integration
In this contour integration worksheet, students sketch the contour and evaluate the integral. This two-page worksheet contains approximately six problems.
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Complex Analysis: Complex Variables
For this complex variable worksheet, students find the harmonic function of a problem. This two-page worksheet contains explanations and examples, as well as three problems.
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Complex Analysis: Complex Exponents
In this complex exponent instructional activity, students simplify functions. This three-page instructional activity contains approximately ten problems, as well as explanations and examples.
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Complex Analysis: Contour Integration
In this contour integration worksheet, students integrate complex functions of a real variable. They sketch the contour and evaluate the integral. This two-page worksheet contains eight problems, as well as explanations and examples.
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Complex Analysis: Introduction to Contours
For this contour worksheet, students compute complex valued functions of a real variable. They give examples of a parametric representation and draw a sketch of the points. This two-page worksheet contains explanations and examples, as...
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Complex Analysis: Harmonic Functions
In this harmonic function worksheet, students explore harmonic functions and construct a harmonic conjugate. This three-page worksheet contains three problems, with explanations and examples.
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Complex Analysis: Complex Variables
In this complex variable worksheet, students use functional iteration to find the fixed points of a function. This two-page worksheet explains the functional iteration, the Julia Set and the Mandelbrot set. Four problems are included.
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Complex Analysis: Complex Exponential
In this complex exponential worksheet, students answer questions about the characteristics of a function. They sketch the image in a coordinate plane. This two-page worksheet contains six problems.
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Complex Analysis: Functions
In this function worksheet, students complete complex trigonometric functions. They use hyperbolic trigonometric functions to solve problems. This two-page worksheet contains eight problems with examples and explanations.
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Complex Analysis: Branch Cuts
In this branch cuts worksheet, students define analytic branches of logs and use the Riemann surface for logs. They determine the domain of analyticity for the function. This two-page worksheet contains six problems, as well as...
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Complex Analysis: The Complex Logarithm
For this complex logarithm worksheet, students compute the log of given functions. They sketch the sketch the set of points and investigate the analyticity of the logs. This two-page worksheet contains approximately five problems, with...
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Complex Analysis: Properties of Complex Numbers
In this properties of complex numbers worksheet, students list and explain the properties and operations used to compute the value of expressions. This one-page worksheet contains six definition questions and three equations.
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Complex Analysis: Graphical Representations
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: Point Sets in the Complex Plane
In this point set worksheet, students explore definitions describing planar point sets. They use the definitions to describe examples of point sets. This two-page worksheet contains four problems and 15 definitions.
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Complex Analysis: Functions of Complex Variables
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: Limits of Complex Functions
In this complex function worksheet, students identify the limits of complex functions. They explore the rules on limits and the point at infinity. This two-page worksheet contains examples and explanations, as well as seven problems.
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