Calculus IV: Vector Calculus (Line Integrals, Surface Integrals, Vector Fields, Greens' Thm, Divergence Thm, Stokes Thm, etc) **Full Course** Computing the Surface Area of a surface parametrically // Example 2 // Vector Calculus
Computing the Surface Area of a surface parametrically // Example 2 // Vector Calculus Transcript and Lesson Notes
We compute the surface area of a cylinder between two planes. We will use the parametric integral formula for surface area that we computed in the previous video in my vector calculus playlist (see below). The first step
Quick Summary
We compute the surface area of a cylinder between two planes. We will use the parametric integral formula for surface area that we computed in the previous video in my vector calculus playlist (see below). The first step
Key Takeaways
- Review the core idea: We compute the surface area of a cylinder between two planes. We will use the parametric integral formula for surface area that we computed in the previous video in my vector calculus playlist (see below). The first step
- Understand how Solution fits into Computing the Surface Area of a surface parametrically // Example 2 // Vector Calculus.
- Understand how Example fits into Computing the Surface Area of a surface parametrically // Example 2 // Vector Calculus.
- Understand how math fits into Computing the Surface Area of a surface parametrically // Example 2 // Vector Calculus.
- Understand how surface area formula fits into Computing the Surface Area of a surface parametrically // Example 2 // Vector Calculus.
Key Concepts
Full Transcript
We compute the surface area of a cylinder between two planes. We will use the parametric integral formula for surface area that we computed in the previous video in my vector calculus playlist (see below). The first step is to come up with a parameterization. Because of the cylinder it makes sense to use something based out of cylindrical coordinates. As this has a fixed radius, we use theta and z as our parameters. MY VECTOR CALCULUS PLAYLIST: ►VECTOR CALCULUS (Calc IV) https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfW0GMqeUE1bLKaYor6kbHa OTHER COURSE PLAYLISTS: ►DISCRETE MATH: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxersk8fUxiUMSIx0DBqsKZS ►LINEAR ALGEBRA: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfUl0tcqPNTJsb7R6BqSLo6 ►CALCULUS I: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxfT9RMcReZ4WcoVILP4k6-m ► CALCULUS II: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc4ySKTIW19TLrT91Ik9M4n ►MULTIVARIABLE CALCULUS (Calc III): https://www.youtube.com/playlist?list=PLHXZ9OQGMqxc_CvEy7xBKRQr6I214QJcd ►DIFFERENTIAL EQUATIONS: https://www.youtube.com/watch?v=xeeM3TT4Zgg&list=PLHXZ9OQGMqxcJXnLr08cyNaup4RDsbAl1 OTHER PLAYLISTS: ► Learning Math Series https://www.youtube.com/watch?v=LPH2lqis3D0&list=PLHXZ9OQGMqxfSkRtlL5KPq6JqMNTh_MBw ►Cool Math Series: https://www.youtube.com/playlist?list=PLHXZ9OQGMqxelE_9RzwJ-cqfUtaFBpiho 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 SOCIALS: ►Twitter (math based): http://twitter.com/treforbazett ►Instagram (photography based): http://instagram.com/treforphotography
Lesson FAQs
What is Computing the Surface Area of a surface parametrically // Example 2 // Vector Calculus about?
We compute the surface area of a cylinder between two planes. We will use the parametric integral formula for surface area that we computed in the previous video in my vector calculus playlist (see below). The first step
What key concepts are covered in this lesson?
The lesson covers Solution, Example, math, surface area formula, surface area.
What should I learn before Computing the Surface Area of a surface parametrically // Example 2 // Vector Calculus?
Review the previous lessons in Calculus IV: Vector Calculus (Line Integrals, Surface Integrals, Vector Fields, Greens' Thm, Divergence Thm, Stokes Thm, etc) **Full Course**, then use the transcript and key concepts on this page to fill any gaps.
How can I practice after this lesson?
Practice by applying the main concepts: Solution, Example, math, surface area formula.
Does this lesson include a transcript?
Yes. The full transcript is visible on this page in indexable HTML sections.
Is this lesson free?
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