Class August 23, covering Sec. 13.1 and 13.2: introduction to vectors in 2D and 3D, vector addition, scalar multiplication, position vectors, coordinate vectors, vector decomposition, and the right-hand rule.

Class August 25 covering Sec. 13.3 and 13.4 the dot product, cross product, projections, work and torque.

Class August 30 covering Sec. 13.5 vector equations for lines and planes.

Class September 1 covering Sec. 13.6, 14.1 and 14.2; Quadric Surfaces, Vector Valued Functions and their Calculus.

Class 6-September covering Sec. 14.2, 14.3, 14.4 Calc. on Vector Valued Functions, 3D motion, and Arc-Length.

Class 8-September covering Sec. 14.4 and 14.5 finishing Arc-length, the arclength parameterization, Curvature, Torsion and the TNB-frame.  

Class 13-September covering Sec. 14.5 (cont) and 15.1; Decomposition of Acceleration into An and Tn, Multivariate topics including domain, level curves and contour curves.

Class 15-September covering Sec. 15.2, 15.3 and 15.4 multivariable limits, partial derivatives and the multivariable chain rule.

Class 20-September covering 15.3 Partial Derivatives, 15.4 Multivariable Chain Rule and Implicit Differentiation and Exam Review.

Class 27-September covering 15.5 The Gradient Vector and Directional Derivatives.

Class 29-September covering Sec. 15.5 and 15.6 Tangent Planes and Linear Approximations.

Class 4-October covering Sec. 16.1 and 16.2, double integrals in rectangular coordinates.

Class 6-October covering Sec. 16.1/16.2 and 16.3 and 16.4, multiple integration in rectangular and Polar.

Class 11-October covering Sec. 16.3, 16.4 and 15.7, polar double integrals, triple integrals, and max/min problems.

Class 13-October covering Sec. 15.7 and 15.8 max/min problems on bounded intervals and Lagrange Multipliers.

Class 18-October covering Exam II Review and extra practice with triple integrals.

Class 25-October covering Sec. 16.5 Cylindrical and Spherical coordinates.

Class 27-October covering Sec. 16.7 the Jacobian Matrix and Transformation of Variables.

Class 1-November covering Sec. 16.6 Center of Mass and Sec. 17.1 Intro to Vector Fields.

Class 3-November covering Sec. 17.2 Line Integrals including Circulation and Flux in Vector Fields.

Class 29-November covering Sec. 17.5 Divergence and Curl and Sec. 17.7 Stokes's Theorem.