Curated OER
Introduction to Infinite Series
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.
Curated OER
Worksheet 6 - Improper Integrals
In this improper integral worksheet, students determine the convergence or divergence of functions. They explore the sequence in the series. This one-page worksheet contains six multi-step problems.
Curated OER
Geometric Sequences and Series
Learn to calculate the nth term of a sequence defined by an algebraic expression. They examine geometric sequences and series, relate geometric sequences to their explicit forms, find the partial sums of a sequence in a table, and...
Curated OER
Ratio Test
For this college level Calculus worksheet, students use the ratio test to determine if a series converges or diverges. The one page worksheet contains six problems. Solutions are not provided.
Curated OER
Matter and Motion
In this matter and motion worksheet, students solve 4 different problems that relate to determining the matter and motion of a function problem. First, they find the limit of a as n to infinity and then, determine whether each series...
College Board
2009 AP® Calculus BC Free-Response Questions Form B
Let them eat cake. The free-response questions from an AP® Calculus BC exam cover several topics that include finding the area under a curve within the context of creating a birthday cake. Calculus concepts include finding rates of...
Science Matters
A Model of Plate Faults
The San Andreas fault is one of the longest fault zones in the world. In a series of 20 lessons, the fourth lesson has pupils use a paper model to recreate various types of plate faults. Each is held in position then drawn into a science...
NOAA
Subduction Zones
Sink into an interactive learning experience about subduction zones! Junior oceanographers examine the earth-shaking and earth-making effects of subduction in the fourth installment in a 13-part series. Hands-on activities include...
College Board
2011 AP® Calculus BC Free-Response Questions Form B
Take a second look. Form B of the AP® Calculus BC free-response questions allow pupils and teachers to see another set of items. The six questions expand the set of items from the 2011 free-response questions. Form B items include a...
College Board
2010 AP® Calculus BC Free-Response Questions Form B
Keep moving along a curve. Two items in the set of released free-response questions from the 2010 AP® Calculus BC exam involve movement along a graph. One involves particle motion along a polar curve while the other uses a squirrel...
College Board
2002 AP® Calculus BC Free-Response Questions Form B
Though the items may be older, they still provide information. Released free-response items from the 2002 AP® Calculus BC exam provide teachers and pupils with information about how topics appear on the exam. Questions come from the AB...
Curated OER
Worksheet 13
For this math worksheet, students define how for a given value of x, the series S(x) converges. Then they prove how convergence can be absolute.
Curated OER
Worksheet 10 - Spring 1996
In this math worksheet, students investigate how a series can apply the law of convergence. They also test the functions using convergence.
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Worksheet 12 - Spring 1996
In this math worksheet, students consider a series and test to see if the law of convergence applies or not. Then they calculate the Taylor series about x = 0 for the trigonometric functions f(x)=sinx and g(x)=cos.
Curated OER
The Hunter and His Dog
In this distance learning exercise, students determine total distance and time. They identify an equation as convergent or divergent. This two-page learning exercise contains five multi-step problems.
Curated OER
Worksheet 21
In this math worksheet, students find the interval convergence of the series. They also practice writing a series and the functions. Students find the Taylor series about zero.
Curated OER
Worksheet 10
In this math worksheet, they state the tests for convergence or divergence of a series. Then they show examples of series to which the tests could be applied.
Curated OER
Worksheet 9 - Spring 1996
In this math worksheet, learners state the tests for convergence or divergence of a series. Then they apply the tests of convergence and divergence.
Curated OER
Worksheet 15
In this math worksheet, students sketch and label on a number line the regions that converge and diverge with the sequences. Then they examine a smooth function and define its series.
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Worksheet 16 Practice Exam 1
In this math worksheet, students consider the Taylor series and the Fibonacci sequence. They define the interval of convergence of the Taylor series.
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Worksheet 22
In this math worksheet, students determine using geometry the radius of convergence of the Taylor series centered at x0 = 0 for the function
Curated OER
Worksheet 23
In this math worksheet, students find two power series solutions to Airy's equation. Then they find the radius of convergence for the solutions.
Curated OER
Worksheet 9
In this math worksheet, students test the concepts of divergence and convergence for each formula. Then they test the functions using the Ratio Test.
Curated OER
ESP Quiz 8
A quiz that could also be used as a class worksheet or homework assignment, this activity prompts learners to answer four short answer (computation) problems. They solve each series problem and tell if it converges or diverges.