Curated OER
Review of Calculus BC II
In this Calculus worksheet, students assess their understanding of various topics, including the derivatives of trigonometric functions, evaluating integrals, sigma notation, and convergent and divergent series. The one page...
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
Magnetism
Students experiment with the concept of magnetism. Working in small groups, students design an experiment to test the magnet attraction of various substances. After completing their experiments, students research magnetism and it's...
Curated OER
Worksheet 8 - Spring 1996
In this math instructional activity, students sketch the graphs of the functions 1/x 2 and 1/(x2 − 1) over the interval [2, ∞). They rewrite the series using the Riemann sum.
Curated OER
Worksheet 12
For this math worksheet, students state the Alternating Series Test and give an example of it. They also write down an alternating series which does not converge.
Curated OER
Exploring Infinite Series
Learners analyze geometric series in detail. They determine convergence and sum of geometric series, identify a series that satisfies the alternating series test and utilize a graphing handheld to approximate the sum of a series.
Curated OER
BC Series 1 - Derivatives
In this function worksheet, students find the derivatives of a function. They graph each function and determine the interval. This three-page worksheet contains 8 problems.
Curated OER
Utah at the Crossroads: Challenges for K-12 Education in the Coming Ten Years
Students discuss the difficulties in financing public education in Utah. They examine how Utah students perform on standardized tests. They focus on the coming enrollment boom in K-12 education and slowing economy and what effects these...
Curated OER
Challenge Sheet 9: Improper Integrals
In this integral worksheet, students evaluate improper integrals, use a convergence test to determine if the integral will converge or diverge and consider the area of a region bounded by a polygon. This one-page worksheet contains...
Curated OER
Guidance for Creating Reading Lessons for Dyslexic Students
Here are a few practical tips and sound strategies you can use in writing effective reading lessons for your pupil with dyslexia. The resource provides simple guidelines and accommodations that can be incorporated into any instructional...
Curated OER
Worksheet 8
In this math worksheet, students consider the harmonic series. They assume that the sums move towards infinity and that they are divergent.
Math Medics
S.o.s. Math: The Radius of Convergence
Detailed explanation of the The Radius of Convergence. The lesson contains examples the student can examine.
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.
Wolfram Research
Wolfram Math World: Radius of Convergence
MathWorld provides a site about the Radius of Convergence. Brief and factual, formulas are provided along with several links to additional information on related subjects.
Department of Defense
Do Dea: Convergence Tests Summary and Study
Here is a summary of convergence tests. They are listed in the order that you should use/try them when testing for convergence or divergence.
Mathematics Archives
Math Archives: Visual Calculus: Ratio Test
Visual Calculus offers a discussion and exercises concerning the ratio test for convergence of series.
Mathematics Archives
Math Archives: Visual Calculus: Integral Test
Visual Calculus offers a discussion and exercises concerning the integral test for convergence of series. The site also discusses the power series test.
Wolfram Research
Wolfram Math World: Integral Test
This page gives a brief statement of the Integral Test for convergent or divergent series. This test is also called the Cauchy Integral Test or the Maclaurin Integral Test.
Other
Lake Tahoe Community College
This site offers a clear definition of what a Power Series is and clearly discusses the radius of Convergence using the ratio test through clear examples.
University of Vienna (Austria)
University of Vienna: Sequences Convergent or Divergent?
Given a set of eight sequence formulae, determine whether each is convergent or divergent. After completing the exercises, the site returns a score to judge understanding of such sequences.
Other
Sierra College: Summary of Tests for Series
Provides a summary of tests for series that includes the test, series, converges, sum of remainder, and diverges for nth Term, Geometric Series, Telescoping Series, p-Series, Alternating Series, Integral, Root, Ratio, Direct Comparison,...
Math Medics
S.o.s. Math: Ratio Test
This a comprehensive tutorial explaining the Ratio Test with examples the students can work.
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...
Math Words
Math Words: Conditionally Convergent
This site gives a very brief definition sort of discussion of what a conditionally convergent series is. The site has links to convergence tests.