Calculus II (Integration Methods, Series, Parametric/Polar, Vectors) Full Course - Comparison Test for Series

Master Calculus II: Dive into Integrals and Infinite Series with Expert Guidance!

5.0 (3)

28 learners

What you'll learn

Develop proficiency in integration techniques such as parts, trigonometric substitutions, and partial fractions
Apply integration methods to solve improper integrals and series approximations
Analyze parametric and polar curves for calculus problems, including areas and arc lengths
Understand complex numbers and sequences to evaluate limits and convergence tests

This course includes

7.5 hours of video
Certificate of completion
Access on mobile and TV

Summary

Keywords

Math Solution College Example calculus series converge diverge comparison test improper integral

Full Transcript

We've seen the Comparison Test for improper integrals before, but now we see the same thing for Series. It lets us take a messy series we don't understand well, compare it to a simpler series we do understand, and then deduce the convergence or divergence from this. Careful, though, because the direction of the inequalities make a difference! **************************************************** YOUR TURN! Learning math requires more than just watching videos, so make sure you reflect, ask questions, and do lots of practice problems! **************************************************** ►Full Course Playlist: CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n **************************************************** Other Course Playlists: ►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m ►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS ►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6 *************************************************** ► Want to learn math effectively? Check out my "Learning Math" Series: https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw ►Want some cool math? Check out my "Cool Math" Series: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho ***************************************************** ►Check out my 2nd Channel for lower production quality "live" math videos: https://www.youtube.com/channel/UCFNL8G1CZ4dH0p-Jf7UXqdQ ***************************************************** ►Follow me on Twitter: http://twitter.com/treforbazett ***************************************************** This video was created by Dr. Trefor Bazett, an Assistant Professor, Educator at the University of Cincinnati. BECOME A MEMBER: ►Join: https://www.youtube.com/channel/UC9rTsvTxJnx1DNrDA3Rqa6A/join MATH BOOKS & MERCH I LOVE: ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett