Materials (Spring 2025)
The following are the materials that were generated for the Spring 2025 class given by Steve Butler.
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The following are the materials that were generated for the Spring 2025 class given by Steve Butler.
Note: Vimeo is a video hosting service which streams a better quality video and has no ads.
Arc length
Surface area of revolution
Work and fluid pressure
Practice problems
Mass and center of mass
Parameterized curves
Arc length; surface area
Practice problems
Polar coordinates
Graphing in polar
Area in polar
Integration by parts
Integration of trig functions
Practice with applications
Practice problems
Trigonometric substitution
Partial fractions
Practice with applications
Practice problems
Numerical integration
Error estimation
Improper integration
Sequences; common limits
Common limits; series
Series; n-th term test
Practice problems
Alternating series test
Practice with convergence
Power series; radius
Practice problems
Practice with radius
Taylor polynomials
Taylor series
Binomial series
Handout; Filled notes
Review for Exam 3
Practice exam
Application of Taylor series
Review for Final Exam