Calculus 3 (multivariable calculus), part 2 of 2
Towards and through the vector fields, part 2 of 2: Integrals and vector calculus
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44.5 hours
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Apr 2025
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$74.99
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What you will learn
How to solve problems in multivariable calculus and vector calculus (illustrated with more than 150 solved problems) and why these methods work.
7 types of integrals: double, double improper, and triple integrals; line integrals and surface integrals of functions and of vector fields.
Direct and inverse substitutions for multiple integrals with many examples; Fubini's theorem for various types of domains.
Conservative vector fields and their potentials; fundamental theorem for conservative vector fields.
Green's, Stokes' and Gauss' theorems.
Gradient, curl and divergence.
Surfaces as graphs of functions of two variables and parametric surfaces; normal vectors and orientation of surfaces; boundary of a surface.
Five methods of computing line integrals of vector fields and four methods of computing surface integrals of vector fields (flux integrals).
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3893282
udemy ID
05/03/2021
course created date
21/03/2021
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