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The Method of Separation of Variables

For Students 11th - Higher Ed
In this math worksheet, learners read the examples of the initial value problems. Then they write all the possible solutions for the differential equation.
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Improper Integrals

For Students Higher Ed
In this improper integral activity, students evaluate the improper integral, draw pictures of improper integrals, and identify the limits. This four-page activity contains fifteen problems.
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Alternating Series and Convergence Tests

For Students 11th - Higher Ed
In this math worksheet, students examine the concept of convergence and test the alternating series. They also read and apply the theorem of alternating series.
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Applications of Infinite Series

For Students Higher Ed
In this infinite series instructional activity, students read a story problem and rewrite it in mathematical terms. They write a formula and evaluate the infinite series. This two-page instructional activity contains four multi-step...
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Infinite Series

For Students 11th - Higher Ed
In this math worksheet, learners 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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Introduction to Infinite Series

For Students Higher Ed
In this infinite series worksheet, students explore the pattern in a series of numbers. They solve a sequence of partial sums and identify the limit. This two-page worksheet contains explanations, examples and approximately five problems.
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Comparing Improper Integrals

For Students 11th - Higher Ed
In this math instructional activity, students compare the improper integrals. They determine if each integral converges or diverges. The improper integral test is read and applied.
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The Pyramid: Estimating Volumes

For Students Higher Ed
In this estimating volumes worksheet, students determine the area and volume of pyramids. They draw a cross-section of the pyramid. This four-page worksheet contains approximately 20 problems.
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Introduction to Accumulation

For Students 11th - Higher Ed
In this math worksheet, students work in groups to estimate the area of the ellipses using the grids. Then they estimate the arclengths of the ellipses.
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Summation Notation, Area, Riemann Sums

For Students 11th - Higher Ed
In this math worksheet, students explore the concepts of summation notation, area, and Riemann sums. Then they apply them for the word problems.
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Learning the Anti-differentiation Process

For Students 11th - Higher Ed
In this math worksheet, students examine the data table and attempt to fill in the empty boxes for the functions. They are asked to list the pattern found there.
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Properties of the Definite Integrals

For Students 11th - Higher Ed
In this math worksheet, students investigate the properties of definite integrals. Then they apply the properties and compare sets of two integrals to each other.
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Basic Calculus II: Fundamental Theorem of Calculus

For Students Higher Ed
In this fundamental theorem worksheet, students find the antiderivative of a function. This two page worksheet contains five multi-step problems.
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The Fundamental Theorem and IVP's

For Students 11th - Higher Ed
In this math worksheet, students practice solving the problems concerning the concept of energy consumption. They also review the Fundamental Theorem of Calculus.
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More On Accumulation Functions

For Students 11th - Higher Ed
In this math worksheet, students investigate using the accumulation method to solve for the functions. They also review using Riemann Sums.
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Introduction to Substitution

For Students 11th - Higher Ed
in this math worksheet, students practice using the process of substitution for the integrals and derivatives. Then they identify the composite function.
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Examples of Integral Exchange Using Substitution

For Students 11th - Higher Ed
In this math worksheet, students find the solutions to the problems using the operation of substitution. Then they pay attention to relating this while further evaluating integrals.
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Integration By Parts

For Students 11th - Higher Ed
in this math worksheet, students read the example for the product rule. Then they apply the rule individually or in groups to the following integrals.
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Trigonometric Examples of Integration by Substitution

For Students Higher Ed
In this integration instructional activity, students use trigonometric identity and integration by substitution to solve given integrals. This two-page instructional activity contains three problems.
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Computing Traveled Distance from Velocity

For Students Higher Ed
In this velocity activity, students compute the distance they would travel given a constant velocity for a car for specified amounts of time. They use tables to find the initial and terminal velocities for each time interval.
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Introduction to Accumulation

For Students Higher Ed
In this area of an ellipse worksheet, students are directed to work in groups of four to estimate the area of an ellipse by following four steps: They over and underestimate the area by using a large grid, then under and over estimate...
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Riemann Sums and the Definite Integral

For Students Higher Ed
In this integral worksheet, students use Riemann sums to estimate their answers. They answer story (or word) problems about distance/speed. Students are given a defined interval and use the Riemann sum to find the endpoints of the graph....
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Area, Riemann Sums and Summation Notation

For Students Higher Ed
In this math instructional activity, students solve four problems written in sigma notation. They use Riemann sums to find the areas in four problems involving rectangles. Students work in groups to compute the Riemann sum approximations...
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Riemann Sums and Error Stacks

For Students Higher Ed
In this Riemann sums worksheet, students use accumulation to find the estimate for the area of a given shape. Students use Riemann sums to estimate the area under the curves and error stacks to bound the error of their approximation....

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