Textbook: Multivariable Calculus (5th edition) by James Stewart
13.1: Three-Dimensional Coordinate Systems
13.2: Vectors
13.3: The Dot Product
13.4: The Cross Product
13.5: Equations of Lines and Planes
14.1: Vector Functions and Space Curves
14.2: Derivatives and Integrals of Vector Functions
14.3: Arc Length and Curvature
14.4: Motion in Space: Velocity and Acceleration
15.1: Functions of Several Variables
15.3: Partial Derivatives
15.4: Tangent Planes and Linear Approximations
15.5: The Chain Rule
15.6: Directional Derivatives and the Gradient Vector
15.7: Maximum & Minimum Values
15.8: Lagrange Multipliers
16.1: Double Integrals over Rectangles
16.2: Iterated Integrals
16.3: Double Integrals over General Regions
16.4: Double Integrals in Polar Coordinates
16.5: Applications of Double Integrals
16.7: Triple Integrals
16.8: Triple Integrals in Cylindrical and Spherical Coordinates
16.9: Change of Variables in Multiple Integrals
17.1: Vector Fields
17.2: Line Integrals
17.3: The Fundamental Theorem for Line Integrals
17.4: Green's Theorem
17.5: Curl & Divergence
17.6: Parametric Surfaces and Their Areas
17.7: Surface Integrals
17.8: Stokes' Theorem
17.9: The Divergence Theorem
