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. Completion of Math 217 implies completion of Math 221 and Math 114. An essential feature of the course is the interspersing of precalculus material as needed for calculus topics.

Alternatives: 

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.
credits: 
5 (r-N-I)
semester: 
Spring
prereqs: 
Math 171

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

(608) 263-3054

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