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Worksheet
Curated OER

Math 312 Spring 98. Contour Integration

For Students Higher Ed
In this contour integration instructional activity, students compute the value of integrals, sketch the contour and list the parameterization used. This two-page instructional activity 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
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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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 worksheet, 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 worksheet 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 instructional activity, students identify and explain theorems used with evaluating contour integrals. This two-page instructional activity contains ten problems.
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Worksheet
Curated OER

Complex Analysis: Contour Integration

For Students Higher Ed
For this contour integration worksheet, students sketch the contour and evaluate the integral. This two-page worksheet contains approximately six problems.
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Lesson Plan
Curated OER

Orchid in Blind Contour Format

For Teachers 3rd - 8th
Young scholars create blind contour drawings. They compare methods of drawing including blind contour and contour approaches. Students follow a blind contour method to produce a drawing of a flower and then complete the piece with a...
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Lesson Plan
Curated OER

Contour Drawing Shells

For Teachers 9th - 12th
Students develop skills in shading and create eye movement through the use of lights and darks. They show five principles of shading while drawing shells and bones.
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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
In 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 worksheet, students consider contour integrals that have been traversed different directions and evaluate it for various contours. This two-page worksheet contains three problems.
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Lesson Plan
Curated OER

Volcano Contour Models Activity and Tracing the Highs and Lows in San Francisco

For Teachers 6th - 12th
Learners investigate how to draw topographic contours and read topographic maps.They examine the topography of San Francisco and contrast the elevation of different points within San Francisco.
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Worksheet
Curated OER

Complex Analysis: Improper Integral

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

Understanding Topographic Maps

For Teachers 6th - 8th
Underclassmen create a cone-shaped landform and then draw a contour map for it. Then they examine a quadrangle (which was easily located with an online search), and relate it to what they experienced. The accompanying worksheet is...
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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 worksheet, 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
In this Cauchy's Residue Theorem, students use the theorem to solve given functions. They evaluate integrals. This two-page worksheet contains two problems.