## Topics for Calculus Mastery Quizzes

I. Derivatives. Questions are of two types: a. Given a function (graph, table, or formula) determine the derivative at a point or x-value. (For the graph question, the derivative is approximated.)
b. Given a function (graph, table, or formula) determine where the derivative is negative, positive, -1, 0, +1, or greater than 1. The answer is an x-value or set of x-values.
Four questions total.    example1, example2
II. Find limits (one-sided and two-sided). The variable may approach a finite value (number) or infinity or negative infinity . Three questions: one graph, one table, one formula.   example1, example2 III. Applications of the derivative. Questions will be of two types: a. Given a time-distance graph describe (in words) the trip of the object.
b. Given a function (as a formula), which describes a real situation, answer questions. Questions may include the following:
i. Determine the derivative at a point or x-value, and describe what this means.
ii. Determine where the derivative is negative, positive, or some specific value (such as +1, 0, or -2), and describe what this means. Your answer will be an x-value or set of x-values.
iii. Find maximum or minimum points and describe what these mean.
Four questions. One written description and three questions on the application.  example
IV. Integrals and their applications. Three questions: a. Evaluate a definite or indefinite integral (formula* given).
b. Given a function (as a formula*), which describes a real situation, evaluate a definite integral and
c. explain what it means.
*Formulas on the mastery quiz are just polynomials.  example
Graphing calculators and computers not allowed on all mastery quizzes. Four-function calculators are allowed.

Some questions may require an approximate answer.

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James R. Olsen, Western Illinois University
E-mail: jr-olsen@wiu.edu
updated Dec. 11, 2001