Surface Integrals Formulas amp Applications Vector Calculus











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In this video we come up formulas for surface integrals, which are when we accumulate the values of a scalar function over a surface. This is analogous to a line integral over a curve. As surfaces can be described implicitly, explicitly or parametrically - we come up with a surface area formula for each type. One application is finding the total mass of a surface with variable mass density, and a second is computing the average temperature on the surface of the earth. • 0:00 Surface Area Formulas • 1:50 Surface Integral Formulas • 3:55 Application #1: Mass • 4:30 Application #2 Averages • MY VECTOR CALCULUS PLAYLIST: • ►VECTOR CALCULUS (Calc IV)    • Calculus IV: Vector Calculus (Line In...   • OTHER COURSE PLAYLISTS: • ►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Log...   • ►LINEAR ALGEBRA:    • Linear Algebra (Full Course)   • ►CALCULUS I:    • Calculus I (Limits, Derivative, Integ...   • ► CALCULUS II:    • Calculus II (Integration Methods, Ser...   • ►MULTIVARIABLE CALCULUS (Calc III):    • Calculus III: Multivariable Calculus ...   • ►DIFFERENTIAL EQUATIONS:    • How to solve ODEs with infinite serie...   • OTHER PLAYLISTS: • ► Learning Math Series •    • 5 Tips To Make Math Practice Problems...   • ►Cool Math Series: •    • Cool Math Series   • BECOME A MEMBER: • ►Join:    / @drtrefor   • MATH BOOKS MERCH I LOVE: • ► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett • SOCIALS: • ►Twitter (math based):   / treforbazett   • ►Instagram (photography based):   / treforphotography  

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