Curated OER
More On Accumulation Functions
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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Lesson #94 Exact Area Under A Curve
Students examine diagrams to determine the exact area under a curve. Using given formulas, they identify the area of the curve using the x and y-axis, as well as rectangles. As a class, students sing a song called "Failing My Calculus"...
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Numerical Methods of Integration
Learners review Riemann Sums with rectangles, used to approximate the area under a curve. They listen as the teacher introduces the Trapezoidal Rule to approximate the area under a curve. Students use Simpson's Rule to find the area...
Portland
State
University
Historical Reflections on the Fundamental Theorem Of (Integral) Calculus
Highlight the process of mathematical discovery for your classes. This lesson examines the development of the Fundamental Theorem of Calculus over time. Understanding the history of the theorem helps create a better understanding of the...
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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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Numerical Integration
In this math worksheet, students practice using the number approximations to apply them to the integrations. They compare the numerical methods and graph the results in the data table.
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Infinite Series
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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Matrices
In this calculus learning exercise, learners practice solving equations of area and integrals. There are 14 multi-step problems.
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Worksheet 26
In this math learning exercise, students use the polar coordinates to find the Euclidian coordinates. Then they compare points on the coordinate plane.
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Volumes of Solids of Revolution (Shell Method)
Students find the volume of solids and disks. In this finding the volume of solids and disks lesson, students find the volume using the washer, disk, and shell method. Students integrate functions in terms of x and y. Students use...