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.
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