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Review for Test on 3.1-3.5

For Teachers 11th - 12th
Students review integrals and how they apply to solving equations. In this calculus lesson, students assess their knowledge of derivatives, rate of change, and lines tangent to a curve. This assignment contains two version of the same...
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The Fundamental Theorem of Calculus and Area Under the Curve

For Teachers 12th
Twelfth graders review the fundamental theorem of calculus and solve for the area under the curve. In this calculus lesson, 12th graders differentiate between the area under the curve and the definite integral as it related to the...
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Test on Chapter 7

For Teachers 11th - Higher Ed
Students review integrals and how they apply to solving equations. In this calculus lesson, students assess their knowledge of area between two curves, arc length, finding the volume using disk, washer and shell method. This assignment...
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The Pink Panther

For Students 11th - 12th
In this calculus worksheet, students use tangrams to create different shapes and patterns. They relate each segments to a trigonometric identity with its integral.
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Analyze The Learner; Chocolate Fractions

For Teachers 3rd
Third graders describe, represent and compare fractions using pieces of a chocolate bar.  In this fractions lesson, 3rd graders demonstrate how to read and write fractions correctly. Students then integrate technology by using...
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Exploring Power-Law Functions Using WISE Data!

For Students 11th - 12th
In this power-law functions activity, learners solve 3 problems using data from the Wide-field Infrared Survey Experiment in the constellation Carina. Students use a photograph to determine the number of stars as bright as the brightest...
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Screaming for Ice Cream

For Teachers 9th - 12th Standards
Mathematicians investigate maximizing volume by learning to explore the problem in which they seek to maximize the volume of a cone.  Students solve the problem symbolically, graphically, and through the use of integration or...
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Precalculus Exam

For Students 11th - 12th
In this precalc lesson, students write out definitions, identify functions, solve integrals and derivatives and graph trig functions as they relate to angles. This is a final exam for precalculus. There are 80 questions on this exam.
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Making Money Work For You

For Teachers 9th - 11th
Students differentiate between saving and investing money. In this algebra lesson, students compare different investment options, recognizing the risks and rewards of investing and integrate investing into their financial planning.
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Worksheet 4

For Students 11th - Higher Ed
In this math learning exercise, students define the details of a definite integral and how it is used. They also apply math to physics to compute how work for lift is calculated.
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Worksheet 5

For Students 11th - Higher Ed
In this math worksheet, students review integrating factors for linear equations. Then they read about the definition and solving of homogeneous equations.
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Worksheet 34 - Fall 1995

For Students 11th - Higher Ed
In this math worksheet, students sketch the finite area whose boundary is composed of pieces of the curves x =1− y 4 and x = y2 − 1.
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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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Worksheet 17

For Students 11th - Higher Ed
In this math worksheet, students suppose that a function f and its derivative f1 are continuous and that there are constants K, a, and M such that |f(t)|< Keat for t ≥ M.
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Worksheet 38

For Students 11th - Higher Ed
For this math worksheet, learners investigate different types of functions and coordinate systems. They review that when integrating a function over a region in the plane using polar coordinates, a “magical” factor of r appears in the...
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Worksheet 2 - Spring 1996

For Students 11th - Higher Ed
In this math learning exercise, students state the two fundamental laws of Calculus. Then they investigate finding the area of a rock in cross-sectional pieces.
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Complex Analysis: Path Independence

For Students Higher Ed
In this path independence activity, students evaluate contour integrals using the Cauchy-Goursat Theorem. This two-page activity contains approximately 5 problems.
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Infinite Series

For Students 11th - Higher Ed
In this math learning exercise, students examine the infinite series. They determine if it diverges or converges. Example 2 and 3 is group work to apply the tests for convergence or divergence.
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Worksheet 3

For Students 12th - Higher Ed
in this math worksheet, students define the meaning of a differential equation. Then they examine the method of solving a separable equation.
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Worksheet 9

For Students 11th - Higher Ed
For this math worksheet, students test the concepts of divergence and convergence for each formula. Then they test the functions using the Ratio Test.
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Worksheet 2

For Students 11th - Higher Ed
In this math learning exercise, students state the definition of a definite integral. Then they describe the Fundamental Theorem of Calculus.
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Worksheet 8

For Students 6th - 8th
In this math worksheet, students consider the harmonic series. They assume that the sums move towards infinity and that they are divergent.
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Complex Analysis: Complex Functions

For Students Higher Ed
In this complex function worksheet, students examine the properties of integrals of complex functions of a real variable, smooth arcs, and the Jordan Curve Theorem. This two-page worksheet contains approximately seven equations.
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Complex Analysis: Homework Set 6 - Cauchy's Residue Theorem

For Students Higher Ed
In this residue theorem worksheet, students find the maximum and minimum values of functions. They use Cauchy's Residue Theorem to evaluate integrals of functions. This two-page worksheet contains eleven multi-step equations.

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