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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Udemy
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English
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Math
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Calculus 3 (multivariable calculus), part 2 of 2
3,269
students
44.5 hours
content
Oct 2024
last update
$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).

Screenshots

Calculus 3 (multivariable calculus), part 2 of 2 - Screenshot_01Calculus 3 (multivariable calculus), part 2 of 2 - Screenshot_02Calculus 3 (multivariable calculus), part 2 of 2 - Screenshot_03Calculus 3 (multivariable calculus), part 2 of 2 - Screenshot_04
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3893282
udemy ID
3/5/2021
course created date
3/21/2021
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