Lecture 1: Vectors | Multivariable Calculus
Vectors and the Geometry of the Space<br>25:29
Lecture 1 Vectors<br>33:47
Lecture 2 Dot Product<br>26:17
Lecture 3 Vector Projections and Determinants<br>20:07
Lecture 4 Cross Product<br>37:06
Lecture 5 Planes and Lines<br>30:02
Lecture 6 Planes and Lines (cont.)
Vector Functions<br>28:26
Lecture 7 Parametric Curves<br>28:39
Lecture 8 Parametric Curves (cont.)
Partial Derivatives<br>40:22
Lecture 9 Partial Derivatives<br>29:10
Lecture 10 Partial Derivatives (cont.)<br>9:21
Lecture 11 Tangent Plane, Normal Vector to Surface<br>23:24
Lecture 12 Chain Rule<br>28:29
Lecture 13 Directional Derivative and the Gradient<br>34:42
Lecture 14 Maximization and Minimization<br>27:39
Lecture 15 Lagrange Multipliers
Multiple Integrals<br>41:43
Lecture 16 Double Integration<br>23:02
Lecture 17 Double Integration over General Regions<br>23:29
Lecture 18 Applications of Double Integration
Lecture 19 Double Integration in Polar Coordinates
Lecture 20 Triple Integration
Lecture 21 Applications of Triple Integration
Lecture 22 Cylindrical and Spherical Coordinates
Lecture 23 Integration in Cylindrical and Spherical Coordinates
Lecture 24 General Change of Variables
Vector Calculus
Lecture 25 Vector Fields and Line Integrals
Lecture 26 Gradient Fields and the Fundamental Theorem of Line Integrals
Lecture 27 More on Conservative Fields
Lecture 28 Green's Theorem
Lecture 29 Curl and Divergence
Lecture 30 More on Div and Curl
Lecture 32 More on Parametric Surfaces, Surface Integrals
Lecture 33 Big Picture of Integration, Stokes' Theorem
Lecture 35 Curl Free World, Div Free World
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