Department of Mathematics

Van Vleck Hall, 480 Lincoln Drive, Madison, WI

Math 217: Calculus with Algebra and Trigonometry II

Student Body: 

This course is meant exclusively for students who previously took Math 171.

Background and Goals: 

Continuation of MATH 171. Topics in algebra, trigonometry and precalculus are integrated with elementary differential calculus. Enroll Info: Completion of MATH 217 implies completion of MATH 221 and 114.


Students can take Math 114 and Math 221 instead of Math 171 and Math 217.

Subsequent Courses: 

After Math 217, students can enroll in second semester calculus, Math 222.

Course Content: 
  • Indefinite integrals and applications. Integration of sine and cosine. Areas. Area between curves. Fundamental Theorem of Calculus.
  • Distance. Volumes (by slices and shells). Curve length. Surfaces of revolution. Average values, moments, and center of gravity.
  • Trig identities. Addition formulas. Half- and double-angle formulas. Inverse trig functions. Trig equations. Derivatives of trig functions and inverse trig functions.
  • Exponential functions. e^x. Logarithms. Laws of logarithms. Exponential & logarithmic equations, and applications. Natural logs. Derivative of ln x. Properties and graphs of logarithms. Compound interest and exponential growth.
  • Parabolas, ellipses, hyperbolas. Conics. Tangent lines to conics.
5 (r-N-I)
Math 171

UW-Madison Department of Mathematics
Van Vleck Hall
480 Lincoln Drive
Madison, WI  53706

(608) 263-3054

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