Calculus Diagnostic Test

The Calculus Diagnostic Test may be downloaded in PDF format by clicking below. The test can also be obtained in hard copy from Ethan Bloch, in Albee 301, who can be reached by email at bloch@bard.edu, or by phone at x-7266.

• Calculus Diagnostic Test

Why Take the Calculus Diagnostic Test

Bard's precalculus/calculus sequence consists of the following four courses: Math 110, Math 141, Math 142, Math 212 as described below.

Math 110: Precalculus

This course covers topics from algebra and trigonometry that are needed for calculus courses. The focus is on functions and their graphs. Topics include polynomials, rational functions, exponentials, logarithms and trigonometric functions. If you do not have a solid grasp of this material, you should take precalculus prior to taking calculus.

 

Math 141: Calculus I

This course is an introduction to the basic ideas of differentiation and integration of functions of one variable. Topics covered include limits, techniques of differentiation, definite integrals, the fundamental theorem of calculus, and applications. Prerequisites: Precalculus mathematics (Mathematics 110 or the equivalent).

 

Math 142: Calculus II

This course, a continuation of Calculus I, reinforces the fundamental ideas of the derivative and the definite integral. Topics covered include L'Hopital's rule, integration techniques, improper integrals, volumes, arc length, sequences and series, power series, continuous random variables, and separable differential equations. Prerequisites: Mathematics 141 or the equivalent.

 

Math 212: Calculus III

This course investigates differentiation and integration of multivariable functions. Topics covered include vectors, coordinate systems, vector valued functions, partial derivatives, gradients, Lagrange multipliers, multiple integrals, change of variables, line integrals, Green's theorem, and Stoke's theorem. Prerequisites: Mathematics 141 and 142 or the equivalent.

 

In order to determine which of these courses (if any) is right for you, please talk to any faculty member in the Mathematics Program. To help determine your background in mathematics, which is crucial to being placed in the right course, please take our Calculus Diagnostic Test. This test is not to be handed in, but is meant for you to work through on your own.

Try the problems in the three parts of this self-test. If you find that you do not know the material in one of the parts, then skip the subsequent parts. If you have any questions about the test or the material that it covers, please talk to any faculty member in the Mathematics Program.