Curated OER
Discussion Sheet 10: Convergence
In this convergence activity, 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 activity...
Curated OER
Math Handbook: Calculus
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...
College Board
2006 AP® Calculus BC Free-Response Questions
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...
Curated OER
Comparison Test for Convergence and Divergence
For 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.
Mathematics Vision Project
Module 5: Rational Functions and Expressions
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...
Curated OER
Worksheet 17
In this math learning exercise, 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.
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
Worksheet 8
For this math worksheet, students consider the harmonic series. They assume that the sums move towards infinity and that they are divergent.
Curated OER
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.
Curated OER
Worksheet 18
In 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.
Curated OER
Worksheet 8 - Spring 1996
For this math worksheet, 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.