Multivariable Calculus full Course || Multivariate Calculus Mathematics
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- čas přidán 26. 06. 2024
- 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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Thank you!
Keep up your great posts! You and your team that make this video possible are appreciated!
This video is amazing and deserves a lot more views! I wish it would begin with a little discourse on topology and continuity in the multivariate setting, but it's awesome already as it is :) Thank you!
Excellent.. Explicit and Clear. Thank you for your contribution.
Thank you 🤗 you and your team . great work 👌
Thank you so much for this video!!
This is amazing! You explain very clearly and the video is clearly well thought out. Thank you :)
Also this video is wonderfully concise. Exactly what I needed since I am studying for an exam in 2.5 days
Also: The illustration around 3:14:56 might be a little confusing. The bottom and top edge of the surface go from left to right, from t0 to t0+dt. While the left and right edges go from bottom to top, from s0 to s0+ds. This had me confused, especially because r has these variables flipped, opposite to the (x,y) convention, where x is horizontal and y the vertical dimension. That also explains why there's the partial derivative in respect to t, instead of s.
Thank you so much for the course, Please do Comptia Linux+ complete course
Electronic full course please, thanks
1:31:30 Does he adjust the interval wrong?
0 < t < 2π
if s=5t then multiply all t values by 5 to get s values right?
0*5=0
t*5=s
2π*5=10π
Right? But he wrote it as 2π/5?
(Hold alt and press 2 2 7 on your num pad to type the "π" symbol.)
This is probably an obvious question but I have a course in Multivariable analysis, is this the equivalent of that or is it different?
Idk, but I'm in Multivariate Calculus and it's basically exactly the same. (and no Multivariate is not miss-spelt.)
At 30:31, why is (1v̄ ⁾) = - v̄ ⁾ ?
You are correct. What he meant is that negative V is the additive inverse of V
Asghar Faisal