Lecture 1 (Vectors and Dot Products)
Lecture 2 (Dot and Cross Products)
Lecture 3 (Cross Products and Lines in Space)
Lecture 4 (Lines and Planes in Space)
Lecture 5 (Quadric Surfaces)
Lecture 6 (Cylindrical and Spherical Coordinates)
Lecture 7 (Tangents to Curves; Graphs of Functions)
Lecture 8 (Limits of Functions of Several Variables)
Lecture 9 (Partial Derivaties; Tangent Planes to
Graphs of Functions; Parametric Surfaces)
Lecture 10 (Parametric Surfaces; Chain Rule)
Lecture 11 (Gradient and Directional Derivate,
Intro to Optimization)
Lecture 12 (Optimization)
Lecture 13 (Method of Lagrange Multipliers,
Intro to Double Integrals)
Lecture 15 (Iterated Integrals over Rectangles and
General Regions)
Lecture 16 (Double Integrals in Polar Coordinates)
Lecture 17 (Vector Fields)
Lecture 18 (Line Integrals of Functions and Vector Fields)
Lecture 19 (FTC for Functions on Curves and
Conservative Vector Fields)
Lecture 20 (Green's Theorem)
Lecture 21 (Curl and Divergence, Part I)
Lecture 22 (Curl and Divergence, Part II)
Lecture 23 (Surface Integrals of Functions)
Lecture 24 (Surface Integrals of Vector Fields)
Lecture 25 (Stokes Theorem)
Lecture 26 (Volume Integrals in
Rectangular, Cylindrical and Spherical Coordinates)
Lecture 27 (The Divergence Theorem)
Lecture 28 (The Change of Variables Theorem)
Lecture 29 (Course Summary)
Lecture 30 (Maxwell's Equations)