Calculus II (Integration Methods, Series, Parametric/Polar, Vectors) Full Course - Sketching Polar Curves

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 polar plot cartesian coordinates sketch curve points convert

Full Transcript

In this video we learn how to sketch a polar curve like r=1+cos(theta). We will start with a table of values, and figure out how to plot those on the plane. Then, we will "fill in the dots" by analyzing how r changes as we change theta. This example is called a cardioid, and it looks a bit like a sideways heart. You can play around with this using the following DESMOS link: https://www.desmos.com/calculator/6oderjrar9 **************************************************** 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 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