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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