In this convergence activity, learners 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 activity...

If only there was a reference that listed all the formulas covered in calculus. Luckily, there is. This comprehensive 197-page handbook provides formulas and explanations for all topics in AP Calculus or in a standard college calculus...

Move along with the review. Teachers and scholars use the six released free-response questions to review for their upcoming AP® exam. Questions from the 2006 exam contain problems dealing with cars, objects moving along a curve, and...

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.

Discuss the ethical and practical consequences of dishonesty at work by analyzing a hypothetical situation in which a young employee at a pizza shop is being asked by her friends for free meals.

Fifth graders design a brochure that identifies types of solid waste that are often improperly disposed, explains the effects of this disposal and proposes a solution to the problem. The read humorous books, define vocabulary words and...

Students discuss the use and misuse of email and identify six new technology terms. After opening a word document, they experiment with fonts and sentence writing before pasting it into their email. The lesson concludes with students...

Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...

For this math worksheet, students suppose that a function f and its derivative f1 are continuous and that there are constants K, a, and M such that |f(t)|< Keat for t ≥ M.

In this math activity, students test the concepts of divergence and convergence for each formula. Then they test the functions using the Ratio Test.

In this math worksheet, students consider the harmonic series. They assume that the sums move towards infinity and that they are divergent.

In this math worksheet, students 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.

For this math worksheet, students examine the two springs with spring constants k1 and k2 are attached to a block of mass m. They show the frequency of the oscillations on the frictionless surface.

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.

Students begin by completing a survey asking them to rank their concerns about commercially prepared foods. They develop a definition of relative risk, and complete the "Pro or Con" worksheet. Students work in groups to make a study of...

Students examine the effects of pesticides on the environment and bugs. They answer questions as an assessment.

In this literacy worksheet, students look for the words that are related to the concept that is reviewed in the sheet. They also acquire new vocabulary.

Learn about improper integrals with this handy reference guide. Provides a detailed definition and examples that enhance further explanation. Includes links to related topics.

This site introduces students to improper integrals and allows them to practice this concept using unbounded integrands and integrals.

This site provides a lab for students to gain a better understanding of improper integrals using Gaussian distributions.

This math lesson explains Improper Integrals with definitions and examples.

This lesson is a practice exam on Numerical Integration, Improper Integrals, Applications. The student can take the exam and then check the answers.

This lesson explains the Integral Test for Improper Integrals and Series. The lesson provides definitions, background and examples.

This lesson explains in detail the Convergence and Divergence of Improper Integrals. Includes many formulas and examples.