1. Surface sketching
https://drive.google.com/file/d/1veLZiwTP3SoJ2xN8o-ukbxAA2zWUvG7H/view?usp=sharing
2. Distance formula and the equation of a sphere
https://drive.google.com/file/d/1sydYOJypxV3IRcsyvPy6GyGatHBx8VVD/view?usp=sharing
3. Basic vector operations
https://drive.google.com/file/d/1IUGbo4xP-N7z9KXKXvmAOrFsre7svLLi/view?usp=sharing
4. Dot product
https://drive.google.com/file/d/1jTonZMJ1bKLualiU5oZb-6I_GREZNMqe/view?usp=sharing
5. Cross product
https://drive.google.com/file/d/1cAaBpsTRBoE5rdU7TRkRXHORROZwzOTB/view?usp=sharing
6. The plane
https://drive.google.com/file/d/1Ndd-h7Va4llX8Zpz5gJyuZyWpa3kMSAZ/view?usp=sharing
7. The line
https://drive.google.com/file/d/104hUTIlIxn0UqvMFgfHwTJUxKOCCOgHy/view?usp=sharing
8. Vector-valued functions
https://drive.google.com/file/d/14jIafoF6LcSLPIcVfgz3I0EBON78xBtY/view?usp=sharing
9, Velocity and acceleration
https://drive.google.com/file/d/1odgzuzpa1aySVy2SWC95tFaTS_0s67s-/view?usp=sharing
10. Integrals of vector-valued functions. Arc length
https://drive.google.com/file/d/1YKiUVt34Jxs3xrd-b7TIDncVrbP4zq4T/view?usp=sharing
11. Introduction to partial derivatives
https://drive.google.com/file/d/1k64opt5-thg60yYCkuisv6fdyZPDRUQr/view?usp=sharing
12. Partial derivatives - examples
https://drive.google.com/file/d/13fOBZW0UNJiOtgS3ZTkxwngWsmTuy9IS/view?usp=sharing
13. The tangent plane and the differential
https://drive.google.com/file/d/1qfVCKIFXis8dr16qA8JiFsqw-az_ZMrw/view?usp=sharing
14. Chain Rule - Part 1
https://drive.google.com/file/d/1NlaXGHJhVfLI-fpeciXH3z5mOOq6zEG_/view?usp=sharing
15. Chain Rule - Part 2
https://drive.google.com/file/d/1O4T4NIaS4qvXR6o1iNt7BXXMJ7kjkLB8/view?usp=sharing
16. Directional derivatives
https://drive.google.com/file/d/1m3xGG_hJf8tzNT_DLi-TzCFPm590J3dX/view?usp=sharing
17. Gradient - Part 1
https://drive.google.com/file/d/1GscZKOEMmwsnSJAU1WffLztRjlfKPjxM/view?usp=sharing
18. Gradient - Part 2
https://drive.google.com/file/d/1ZTBNAvGCrgChY_EARKHFrd07iIz-t4eq/view?usp=sharing
19. The potential function
https://drive.google.com/file/d/1SMzkzQqRJcst2xDy0lLsxrNMa_QolDiG/view?usp=sharing
20. Introduction to double integrals
https://drive.google.com/file/d/1nUyebUxm10yMXnH2ePrSpaiCtTDKy4gz/view?usp=sharing
21. Double integrals over rectangular regions
https://drive.google.com/file/d/1jd6zwUt5KS44zrlnWef6yO5Jk2hG4nTb/view?usp=sharing
22. Double integrals over nonrectangular regions
https://drive.google.com/file/d/16VWQKMz3q_EBLr7iT7PsnVtuGNxTshnT/view?usp=sharing
23. Reversing the order of integration
https://drive.google.com/file/d/19jvyzK_fvyscL29gCSfrmpvXUUhXSHe4/view?usp=sharing
24. Polar coordinates - 1
https://drive.google.com/file/d/1pr_DTGmRkIdQdIfUjouCqMJoUNe9BTws/view?usp=sharing
25. Polar coordinates - 2
https://drive.google.com/file/d/1-lS8pyAXwb3NpsLqbvB7yvLl17cwRI9Q/view?usp=sharing
26. Area as a double integral
https://drive.google.com/file/d/163hDMFELIH0Nvlu3K2NO5CoM5_mW7O3w/view?usp=sharing
27. Center of mass and centroids
https://drive.google.com/file/d/1wUWuI_BqJjEsM3Tzp9g8P4SeE_4l8zRn/view?usp=sharing
28. Triple integrals - introduction
https://drive.google.com/file/d/1-C7XjaloQ6Hi9Lq_h9_WeVGA-TwTSNc6/view?usp=sharing
29. Triple Integrals in rectangular and cylindrical
coordinates
https://drive.google.com/file/d/1BCPgLUeMIHep6OPEgCQV5dYzPTZON9xS/view?usp=sharing
30. More triple integral practice
https://drive.google.com/file/d/1pUAdfwxpT26fDEyUsz1mof_eF-Fpewer/view?usp=sharing
31. Spherical coordinates
https://drive.google.com/file/d/1ecMzh56oqKCm7n_YRkh4T9iBOKO55RM1/view?usp=sharing
32. Change of variables for multiple integrals
https://drive.google.com/file/d/1_gDqGshVdq5DKnmWmDz60g-m90IY9Wv5/view?usp=sharing
33. Surface area where z = f(x,y)
https://drive.google.com/file/d/1yjnrA1noUqcideEjGFV62gEe3c9kY9qn/view?usp=sharing
34. Surface area - parametric
https://drive.google.com/file/d/15U9Dek7DyG8Lp1SS9KOZ8QFQ9w6clBOh/view?usp=sharing
35. The torus problem
https://drive.google.com/file/d/1_Z1FP3YRgJJ5_43Jt1z6R1CwUulybKbh/view?usp=sharing
36. Critical points
https://drive.google.com/file/d/1UauFATii_FAAhn_XoVDi5AH5wLZZubEo/view?usp=sharing
37. Applied max-min problems
https://drive.google.com/file/d/18SF8L3lPMYGc1rDHg9qbRbNduVqbcX09/view?usp=sharing
38. More applied max-min problems
https://drive.google.com/file/d/123wGReC6x_KGPNLCcAb-dpSMFPYkDHKH/view?usp=sharing
Supplementary Videos
Line Integrals - Part I
https://drive.google.com/file/d/1OeDjUE-9Vq96lSMyYwbQ9Bfwodl1a4Mm/view?usp=sharing
Line Integrals - Part II
https://drive.google.com/file/d/1x65CkwO7x5pcqAezPcGSsKzlA55JsSOz/view?usp=sharing
Conservative Vector Fields and the Existence of a Potential Function
https://drive.google.com/file/d/1Tr2gXMxLKpVfLIw5I-ShRBsPbTCx4mcO/view?usp=sharing
Potential Function - Examples
https://drive.google.com/file/d/1fUFs4bycMp1HaZpVqn2GlOiQPDVPtgnZ/view?usp=sharing