@@9888565407 ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007/exams/ has practice exams. ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/3.-double-integrals-and-line-integrals-in-the-plane has more resources being designed for ocw and based on this one
@MrAnuarsh the infinitesimal length of r (so small it has no length) is the vector coordinates of the infinitesimal length of x, infinitesimal length of y, and infinitesimal length of z
For the condition to be a vector field, that seems like the formulation that the curl of the gradient of f=0 , meaning that its direction does not change and hence is a scalar.
@afjkaf312 Ok, but mathematically, how can you define that? In Differential geometry, an expression like dx maybe means a 1-form. But the "vector" (dx,dy,dz) has no sense.
this guy is an amazing lecturer. his videos have helped me out so much. i wish the camera man was a fraction as good as he is, though.
6 more lectures, 2 more psets, 1 more exam. We're almost there!
where can i get the exams? i only got the psets on ocw site
@@9888565407 ocw.mit.edu/courses/mathematics/18-02-multivariable-calculus-fall-2007/exams/ has practice exams.
ocw.mit.edu/courses/mathematics/18-02sc-multivariable-calculus-fall-2010/3.-double-integrals-and-line-integrals-in-the-plane has more resources being designed for ocw and based on this one
I will miss these lectures so so much
Lecture 1: Dot Product
Lecture 2: Determinants
Lecture 3: Matrices
Lecture 4: Square Systems
Lecture 5: Parametric Equations
Lecture 6: Kepler's Second Law
Lecture 7: Exam Review (goes over practice exam 1a at 24 min 40 seconds)
Lecture 8: Partial Derivatives
Lecture 9: Max-Min and Least Squares
Lecture 10: Second Derivative Test
Lecture 11: Chain Rule
Lecture 12: Gradient
Lecture 13: Lagrange Multipliers
Lecture 14: Non-Independent Variables
Lecture 15: Partial Differential Equations
Lecture 16: Double Integrals
Lecture 17: Polar Coordinates
Lecture 18: Change of Variables
Lecture 19: Vector Fields
Lecture 20: Path Independence
Lecture 21: Gradient Fields
Lecture 22: Green's Theorem
Lecture 23: Flux
Lecture 24: Simply Connected Regions
Lecture 25: Triple Integrals
Lecture 26: Spherical Coordinates
Lecture 27: Vector Fields in 3D
Lecture 28: Divergence Theorem
Lecture 29: Divergence Theorem (cont.)
Lecture 30: Line Integrals
Lecture 31: Stokes' Theorem
Lecture 32: Stokes' Theorem (cont.)
Lecture 33: Maxwell's Equations
Lecture 34: Final Review
Lecture 35: Final Review (cont.)
To check the vector field is conservative, compute the cul of the vector field and see if it is zero .I think it is easier.
@MrAnuarsh the infinitesimal length of r (so small it has no length) is the vector coordinates of the infinitesimal length of x, infinitesimal length of y, and infinitesimal length of z
For the condition to be a vector field, that seems like the formulation that the curl of the gradient of f=0 , meaning that its direction does not change and hence is a scalar.
Thanks ❤🤍
23:57
I am currently taking Heat transfer, His explanation broaden my knowledge. 'Multivariable Prof. wasn't of much of assistance'
Imagine him speaking fluent english instead. He just trolled them all, all these lectures. Then goes home and laughs everytime
@afjkaf312 Ok, but mathematically, how can you define that? In Differential geometry, an expression like dx maybe means a 1-form. But the "vector" (dx,dy,dz) has no sense.
The "c1+c2+c3" method is def better!
jesus these kids spitted out their lungs
This is guy is so good in computation than concept explanation
No
Huh?
This is helpful ❤️🤍
Why is everyone coughing
Corona virus
It’s late fall or early winter in Boston, so people are starting to get colds
I am very happy to why the fuck is this full of bots in space and curl. Thank you, it really helps
@hesham3540 yes
my ffff do butiful
the coughing noise is freaking annoying!! but this video is awesome.
"unapropriate" LOL