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Worksheet
Curated OER

Math 312 Spring 98. Contour Integration

For Students Higher Ed
In this contour integration worksheet, students compute the value of integrals, sketch the contour and list the parameterization used. This two-page worksheet contains three problems.
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Worksheet
Curated OER

Complex Analysis: Understanding Contour Integration

For Students Higher Ed
In this integration worksheet, students evaluate contour integrals using the parameterization method. They describe various related theorems. This two-page worksheet contains approximately eight problems.
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Worksheet
Curated OER

Complex Analysis: Contour Integration

For Students Higher Ed
For 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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Worksheet
Curated OER

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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Worksheet
Curated OER

Math 312 Spring 2004: Applications of Contour Integration

For Students Higher Ed
In this contour integration learning exercise, students show the residue of a function and compute the value of I. Students show that Ican be written as a contour integral. This two-page learning exercise contains three equations.
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Worksheet
Curated OER

Complex Analysis: Contour Integration

For Students Higher Ed
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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Worksheet
Curated OER

Complex Analysis: Contour Integration

For Students Higher Ed
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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Worksheet
Curated OER

Complex Analysis: Contour Integration

For Students Higher Ed
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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Worksheet
Curated OER

Math 312 Spring 2004 Bonus Quiz. Integrals

For Students Higher Ed
In this integral instructional activity, students derive a formula for the value of a contour integral. They explain the method of choice. This two-page instructional activity contains five problems.
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Worksheet
Curated OER

Math 312 Spring 2004: Complex Integration

For Students Higher Ed
In this complex integration worksheet, students use contour integration to find the area of odd shapes in a plane. This two-page worksheet contains four multi-step problems.
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Worksheet
Curated OER

Complex Analysis: Residues and Real Integrals

For Students Higher Ed
For this integral worksheet, students evaluate contour integrals and real integrals. This two-page worksheet contains approximately three problems. Some explanations and definitions are provided.
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Worksheet
Curated OER

Math 312 Spring 98: Cauchy's Integral Formula

For Students Higher Ed
In this integral formula instructional activity, students find the area of odd shapes by using the contour integration formula. They compute the area enclosed by an ellipse. This two-page instructional activity contains three problems.
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Worksheet
Curated OER

Complex Analysis: Cauchy's Integral Formula

For Students Higher Ed
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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Worksheet
Curated OER

Math 312 Spring 2004: Generalized Cauchy Integral

For Students Higher Ed
In this Cauchy integral activity, students consider contour integrals that have been traversed different directions and evaluate it for various contours. This two-page activity contains three problems.
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Worksheet
Curated OER

Complex Analysis: Improper Integral

For Students Higher Ed
In this improper integral activity, students evaluate improper integrals and its limits. They evaluate improper integrals using contour integration and define the Cauchy Principal Value. This two-page activity contains explanations and...
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Worksheet
Curated OER

Complex Analysis: Applications of Cauchy-Goursat Theorem

For Students Higher Ed
In this Cauchy-Goursat Theorem, students sketch and classify domains. They evaluate integrals and explore the analytic function. This two-page worksheet contains approximately ten problems.
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Worksheet
Curated OER

Bonus Quiz Cauchy Principal Value

For Students Higher Ed
In this Cauchy Principal worksheet, students identify the value of a function by evaluating the contour integral. This two-page worksheet contains one problem.
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Worksheet
Curated OER

Math 312 Spring 2004: Complex Integration

For Students Higher Ed
In this complex integration worksheet, students compute the value of the integral, sketch the contour and identify the parameterizations used. This two-page worksheet contains approximately five problems.
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Worksheet
Curated OER

Complex Analysis: Cauchy's Integral Formula and Integral Examples

For Students Higher Ed
In this integral formula activity, students examine Cauchy's formula and higher derivatives of analytic functions. They use this provided information to solve eight problems.
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Worksheet
Curated OER

Math 312 Spring 98 - Cauchy's Residue Theorem

For Students Higher Ed
For this Cauchy's Residue Theorem, students use the theorem to solve given functions. They evaluate integrals. This two-page worksheet contains two problems.
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Worksheet
Curated OER

Complex Analysis: Independence of Path

For Students Higher Ed
In this independence of path worksheet, students evaluate contour integrals using anti-derivatives and the Cauchy-Goursat Theorem. This two-page worksheet contains four problems.
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Worksheet
Curated OER

Complex Analysis: Applications and Implications of Cauchy's Integral Formula

For Students Higher Ed
In this integral worksheet, students explore various theorems used to evaluate integrals. This two-page worksheet contains theorem explanations and two problems.
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Worksheet
Curated OER

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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Worksheet
Curated OER

Complex Analysis: Applications of Cauchy-Goursat

For Students Higher Ed
In this Cauchy-Goursat worksheet, students evaluate integrals, sketch the contour and explain the methods used to evaluate the problem. This two-page worksheet contains approximately six problems.