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Math 224 Multivariable Calculus Quiz 10
In this math worksheet, students practice using the rules for solving problems with integrals. They are directed to show all work completely for the two problems.
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Math 212: Multiple Integration
In this integration worksheet students evaluate integrals. Students explore double and triple integrals. This two-page worksheet contains three problems.
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Fundamental Theorem of Calculus
In this fundamental theorem instructional activity, students give antiderivatives of functions, find the area under a curve, and evaluate continuous functions. This two-page instructional activity contains ten problems.
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Exploration 3: Introduction to Definite Integrals
In this integral learning exercise, students estimate the definite integral and find the derivative of functions. They graph functions and determine the range of the velocity. This three-page learning exercise contains approximately 40...
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Guassian Quadrature and Improper Integrals
In this math worksheet, students practice using the Guassian Quadratures and improper integrals. They approximate two point Quadratures.
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Numerical Analysis: Dimensional Vectors
In this dimensional vector instructional activity, students prove dimensional vectors. They write systems of equations, verify solutions, and sketch graphs of the functions. This two-page instructional activity contains approximately...
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Complex Analysis: Cauchy's Integral Formula and Integral Examples
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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Complex Analysis: Understanding Contour Integration
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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Math 312 Spring 98. Contour Integration
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: Independence of Path
In this independence of path instructional activity, students evaluate contour integrals using anti-derivatives and the Cauchy-Goursat Theorem. This two-page instructional activity contains four 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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Math 312 Spring 2004 Bonus Quiz. Integrals
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 - Fall 1995
In this math worksheet, students write down the definition of a definite integral. Then take turns explaining the different parts to the members of a group.
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Worksheet 28 - Fall 1995
In this math worksheet, students define a definite integral. Then they draw a picture or sequence of pictures with progressively finer partitions..
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Worksheet 18 - Spring 1996
In this math worksheet, students practice finding the function while practicing using the Taylor series. Then they compute the second integral by parts.
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Worksheet 23
In this math worksheet, students practice using summation notation. Then they draw a picture of a sequence of partitions in which the mesh does not go to 0.
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Worksheet 37
In this math worksheet, students sketch the regions that give rise to the integrals. Then rewrite them as double integrals with the integration order reversed.
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Worksheet 24
In this math worksheet, students find how a 1 kg bucket filled with 10 kg of water is lifted 10 m into the air. They set up an integral which gives the total amount of work done on the bucket and the water used for lifting it.
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Exploration 4: Definite Integrals by Trapezoidal Rule
In this integral worksheet, students geometrically estimate distance in given problems. They use the trapezoidal rule to determine definite integrals. Students explore distance and velocity. This three-page worksheet contains...
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Integrating Special Functions
In this math learning exercise, students practice reading the examples of integrating special functions. The examples have the formulas included.
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Fun Times with Integrals
Students study techniques used for solving integrals. Using tangrams and hands-on activities, students perform basic integration techniques. They use artistic skills and real-world applications to discover more complex methods of...
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Lesson #94 Exact Area Under a Curve
Students research Riemann Sums. In this area lesson students listen to a lecture on finding the area under a curve. Links to a song about Riemann Sums, and a song titled "Failing My Calculus" are included.
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Lesson #139 A.P. Exam Review
Students study for the A.P. Calculus exam. In this integrals instructional activity students complete a worksheet titled, "Stupid Integrals Sheet (a link to the answer key is included).
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Lesson #106 Logs and Long Division
Students investigate a method of evaluating integrals using long division. In this calculus lesson, 12th graders examine a method of using long division to perform integration. The lesson includes a bingo worksheet on exponential and...