1 Calculus 3 Lecture 11.1: An Introduction to Vectors
2 Calculus 3 Lecture 11.2: Vectors in 3-D Coordinate System
3 Calculus 3 Lecture 11.3: Using the Dot Product
4 Calculus 3 Lecture 11.4: The Cross Product
5 Calculus 3 Lecture 11.5: Lines and Planes in 3-D
6 Calculus 3 Lecture 11.6: Cylinders and Surfaces in 3-D
7 Calculus 3 Lecture 11.7: Using Cylindrical and Spherical Coordinates
8 Calculus 3 Lecture 12.1: An Introduction To Vector Functions
9 Calculus 3 Lecture 12.2: Derivatives and Integrals of Vector Functions
10 Calculus 3 Lecture 12.3: Arc Length/Parameterization, TNB (Frenet-Serret) Intro
11 Calculus 3 Lecture 12.3/12.5: TNB (Frenet-Serret) Frames, Curvature, Torsion, Encapsulation
12 Calculus 3 Lecture 12.4: Velocity and Acceleration of Vector Functions
13 Calculus 3 Lecture 13.1: Intro to Multivariable Functions (Domain, Sketching, Level Curves)
14 Calculus 3 Lecture 13.2: Limits and Continuity of Multivariable Functions (with Squeeze Th.)
15 Calculus 3 Lecture 13.3: Partial Derivatives (Derivatives of Multivariable Functions)
16 Calculus 3 Lecture 13.4: Finding Differentials of Multivariable Functions
17 Calculus 3 Lecture 13.5: The Chain Rule for Multivariable Functions
18 Calculus 3 Lecture 13.6: Finding Directional Derivatives and Gradients
19 Calculus 3 Lecture 13.7: Finding Tangent Planes and Normal Lines to Surfaces
20 Calculus 3 Lecture 13.8: Finding Extrema of Functions of 2 Variables (Max and Min)
21 Calculus 3 Lecture 13.9: Constrained Optimization with LaGrange Multipliers
22 Calculus 3 Lecture 14.1: INTRODUCTION to Double Integrals (Background Info)
23 Calculus 3 Lecture 14.2: How to Solve Double/Repeated/Iterated Integrals
24 Calculus 3 Lecture 14.3: Double Integrals over POLAR REGIONS
25 Calculus 3 Lecture 14.4: Center of Mass (and Moments of Mass and Inertia) for Lamina in 2-D
26 Calculus 3 Lecture 14.6: How to Solve TRIPLE INTEGRALS (Along with Center of Mass and Volume)
27 Calculus 3 Lecture 14.7: TRIPLE Integrals Over Regions with CYLINDRICAL or SPHERICAL Coord.
28 Calculus 3 Lecture 14.8: How to Change Variables in Multiple Integrals (Using the Jacobian)
29 Calculus 3 Lecture 15.1: INTRODUCTION to Vector Fields (and what makes them Conservative)
30 Calculus 3 Lecture 15.2: How to Find Divergence and Curl of Vector Fields
31 Calculus 3 Lecture 15.3: How to Compute Line Integrals (Over Non-Conservative V.Fields)
32 Line Integrals on CONSERVATIVE Vector Fields (Independence of Path): Calculus 3 Lecture 15.4
33 Green's Theorem: Calculus 3 Lecture 15.5
34 Surface And Flux Integrals, Parametric Surf., Divergence/Stoke's Theorem: Calculus 3 Lecture 15.6_9