University of Wisconsin

Department of Mathematics

Calculus Credit by Examination

The department offers exams to students who want to earn credits for Math 221 or/and Math 222.
These exams are intended primarily for freshmen who have substantial calculus courses in high school or for transfer students who did not get transfer credits for a calculus course taken at another institution and desire to establish college credits for Math 221 or/and Math 222.
It is not intended for students who dropped or failed Math 221/222 at UW-Madison or for exchange/special students. Students who have been or will be granted calculus advanced placement credit by other means do not need to take these exams.
STUDENT CANNOT TAKE AN EXAM MORE THAN ONCE.

## Calculus Exam:

• Web Page:
https://www.math.wisc.edu/calculusexam/
• Time:
Wednesday, October 17, 2012, 7:00 pm.
(Up to 2 hours are allowed to complete each exam)
• Place:
B239 Van Vleck.
• Registration:
Deadline is 3:00 pm on Tuesday, October 16, 2012. Register on line at Calculus Exam , or with Kate Bartlett, Math Department Undergraduate Program Assistant (bartlett@math.wisc.edu, 263-6374)
• Identification:
Students must present their University Photo ID at the time of the exam.
• Information: Diane Rivard, Math Placement Adviser, (rivard@math.wisc.edu), 262-2882, 720 Van Vleck.

## To the Students:

• Passing Scores:
A student needs to get at least 75% on the exam to get credit for the course.
• Exam Results:
Results will be sent to the student official wisc.edu address by Tuesday, October 23, 3:00 pm.

The Mathematics Department Calculus Placement Exam is based on the following material:

Math 221:
1. Rate of change: equation of a line, slope of a line, rates, limits, derivative of a function, velocity.
2. Derivatives of algebraic functions: derivative of polynomials and rational functions, implicit differentiation, chain rule.
3. Applications of differentiation: curve sketching, related rates, maxima and minima, Mean Value Theorem.
4. Integration: the definite and indefinite integrals, substitution.
5. Applications of integration: area between curves, volumes of revolution.
6. Transcendental functions: definitions, properties, differentiation and integration of the trigonometric, inverse trigonometric, exponential, and logarithmic functions.

Math 222:
1. Methods of integration: integration by parts, partial fractions, various substitutions, improper integrals.
2. First-order differential equations: separable, linear. Second order differential equations: homogeneous, and non-homogeneous (methods of undetermined coefficients, variation of parameters).
3. Sequence and infinite series: convergence tests, power series, absolute and conditional convergence, Taylor series.
4. Plane analytic geometry: equations and properties of the conic sections (circle, parabola, ellipse, hyperbola), polar coordinates, parametric equations.
5. Vector geometry in two and three dimensions: scalar and vector products, equations of lines and planes in space.