Curated OER
General Convergence Sheet: Convergent and Divergent Series
In this series worksheet, students determine if 16 series are divergent or convergent. Students find the summation of series on a given interval.
Curated OER
Convergent or Divergent Series
In this convergent or divergent activity, students examine a given series and determine if it is absolutely convergent, conditionally convergent or divergent. This two-page activity contains seven multi-step problems.
Curated OER
Discussion Sheet 10: Convergence
In this convergence worksheet, students compute improper integrals. They use the comparison test or the absolute convergence test to prove convergence. Students find the area of a region bounded by graphs. This one-page worksheet...
Curated OER
Comparison Test for Convergence and Divergence
In this comparison and convergence worksheet, students show that each of six improper integral converges. They use the comparison test to show that each of two improper integrals diverges.
Curated OER
Intervals of Convergence Power Series
For this interval of convergence worksheet, students identify the interval of convergence and apply the absolute ratio test. This two-page worksheet contains fourteen problems.
Curated OER
Worksheet 13
In 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
Determine if Series Converge or Diverge in Five Multi-part Problems
In this series worksheet, students determine if series converge, converges absolutely, or diverge. Students also state what test they used to arrive at their solutions.
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...
Curated OER
Discussion Sheet 10: Series
In this series activity, students use the absolute convergence test to determine numbers in a series and the interval of convergence. They list the first four terms in a series. This two-page activity contains approximately 30 problems.
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.
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 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
Numerical Analysis
In this numerical analysis worksheet, students plot functions, predict the number of iterations, and identify the convergence criteria of the function. This two-page worksheet contains eight problems.
Curated OER
Limit Comparison Test
In this calculus worksheet, 11th graders solve 7 problems where they determine the convergence and divergence properties using the limit comparison test.
Curated OER
Integration Review
In this algebra activity, 11th graders solve a series and identify if the series will diverge or converge based on n equals. There are 5 questions.
Curated OER
Review of Limits
For this limit worksheet, students review limits stated as an expression, analyze Euler's method applied to a rate equation, compute the terms of a given sequence, and identify a sequence as a convergence or divergence. this four-page...
Curated OER
Worksheet 32
In this math activity, students give a physical interpretation for each of the boundary conditions for the functions. Then they apply the method of separation of variables to find the solutions to the wave equation
Curated OER
Worksheet 11
In this math worksheet, students define a function f(x) by the following rule: for any x ∈ R,set. They also define the domain and range for the functions.
Math Medics
S.o.s. Math: Absolute Convergence
This lesson provides a general overview of absolute convergence, complete with a summary and several examples.
Mathematics Archives
Math Archives: Visual Calculus: Absolute Convergence
A good site explaining absolute convergence. The site has the definition, theorem and examples.
Math Words
Math Words: Absolute Convergence
This MathWords.com site clearly states how to determine if a series converges absolutely.
Wolfram Research
Wolfram Math World: Absolute Convergence
This page briefly discusses absolute convergence as it relates to series. Also provides some properties of absolutely convergent series.
Math2
Math2.org: Series Convergence Tests
This is an excellent resource! It states all of the most common tests for series convergence. Examples are not included.
Math2
Math2.org: Series Expansions
A thorough review of calculus series. Links direct the student to the basic properties of series, as well as to explanations and examples of convergence tests in series. The expansions for exponential, logarithmic, and root functions and...