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A Contouring We Go

For Teachers 9th - 12th
Students examine the built environment and infrastructures of their community by constructing contour equipment, using the equipment, and comparing their results to current topographical maps of the same area
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Contour and Cross-Section Skills

For Students 7th - 12th
In this geography worksheet, learners identify the Wolf Creek Crater and how it was formed. They examine a contour map given of how the crater would look from above. Then, pupils use a ruler to draw lines as on the graph to the side....
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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: 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.
Worksheet
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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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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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Cookie Topography

For Teachers 3rd - 6th
Young scholars construct a cross section diagram showing elevation changes on a "cookie island." Using a chocolate chip cookie for an island, they locate the highest point in centimeters on the cookie and create a scale in feet. After...
Worksheet
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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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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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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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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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Complex Analysis: Introduction to Contours

For Students Higher Ed
In this contour activity, 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 activity contains explanations and examples, as...
Lesson Plan
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Line With Printmaking

For Teachers 3rd
Third graders investigate the use of lines in different pieces of art by creating their own ink print.  In this art analysis lesson, 3rd graders identify the contours and lines of natural objects such as twigs and leaves. Students...
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Math 312 Spring 2004: Complex Integration

For Students Higher Ed
In this complex integration instructional activity, students use contour integration to find the area of odd shapes in a plane. This two-page instructional activity contains four multi-step problems.
Lesson Plan
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MAPS AND TOPOGRAPHY

For Teachers 6th - 9th
Students analyze the details of a topographic map and create one of their own by utilyzing a map of elevations.
Worksheet
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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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Math 312 Spring 98: Cauchy's Integral Formula

For Students Higher Ed
In this integral formula worksheet, students find the area of odd shapes by using the contour integration formula. They compute the area enclosed by an ellipse. This two-page worksheet contains three problems.
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Math 312 Spring 2004: Generalized Cauchy Integral

For Students Higher Ed
In this Cauchy integral learning exercise, students consider contour integrals that have been traversed different directions and evaluate it for various contours. This two-page learning exercise contains three problems.
Worksheet
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Math 312 Spring 2004 Bonus Quiz. Integrals

For Students Higher Ed
In this integral worksheet, students derive a formula for the value of a contour integral. They explain the method of choice. This two-page worksheet contains five problems.
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Bonus Quiz Cauchy Principal Value

For Students Higher Ed
In this Cauchy Principal activity, students identify the value of a function by evaluating the contour integral. This two-page activity contains one problem.
Worksheet
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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.
Worksheet
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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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Cross Section and Slope

For Teachers 6th - 8th
Students draw cross sections of given contour maps. In this math lesson, students interpret the different symbols used in the map. They determine slope and steepness through direct measurement.
Worksheet
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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.

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