Complete Multivariable Calculus Course | Master Multivariate Calculus Concepts

Dive into this comprehensive multivariable calculus course covering functions of several variables, partial derivatives, multiple integrals, and more. Perfect for students aiming to excel in advanced mathematics! 📚

Complete Multivariable Calculus Course | Master Multivariate Calculus Concepts
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46.2K views • Jun 6, 2022
Complete Multivariable Calculus Course | Master Multivariate Calculus Concepts

About this video

Multivariable calculus (also known as multivariate calculus) is the extension of calculus in one variable to calculus with functions of several variables: the differentiation and integration of functions involving several variables, rather than just one. This course covers differential, integral and vector calculus for functions of more than one variable. This #multivariablecalculus will teach you almost all the topics that you need to know about.

⭐️ Table of Contents ⭐️
⌨️ (0:00:00) Multivariable domains
⌨️ (0:07:14) The distance formula
⌨️ (0:12:15) Traces and level curves
⌨️ (0:18:16) Vector introduction
⌨️ (0:23:22) Arithmetic operation of vectors
⌨️ (0:29:19) Magnitude of vectors
⌨️ (0:33:49) Dot product
⌨️ (0:38:49) Applications of dot products
⌨️ (0:45:41) Vector cross product
⌨️ (0:51:57) Properties of cross product
⌨️ (0:58:09) Lines in space
⌨️ (1:03:31) Planes in space
⌨️ (1:09:06) Vector values function
⌨️ (1:14:56) Derivatives of vector function
⌨️ (1:21:07) Integrals and projectile Motion
⌨️ (1:26:02) Arc length
⌨️ (1:32:22) Curvature
⌨️ (1:36:33) Limits and continuity
⌨️ (1:42:10) Partial derivatives
⌨️ (1:53:45) Tangent planes
⌨️ (1:58:05) Differential
⌨️ (2:01:58) The chain rule
⌨️ (2:08:41) The directional derivative
⌨️ (2:13:14) The gradient
⌨️ (2:18:22) Derivative test
⌨️ (2:23:00) Restricted domains
⌨️ (2:28:06) Lagrange's theorem
⌨️ (2:34:05) Double integrals
⌨️ (2:41:21) Iterated integral
⌨️ (2:51:13) Areas
⌨️ (2:56:54) Center of Mass
⌨️ (3:01:49) Joint probability density
⌨️ (3:06:33) Polar coordinates
⌨️ (3:10:43) Parametric surface
⌨️ (3:16:56) Triple integrals
⌨️ (3:22:05) Cylindrical coordinates
⌨️ (3:25:30) Spherical Coordinates
⌨️ (3:29:57) Change of variables


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46.2K

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Duration

03:36:30

Published

Jun 6, 2022

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