The lecture notes for each week will normally be available here on Friday at the end of the week. However, if the level of attendance to the class drops drastically, I may no longer post them here and instead distribute them in the class. I am sorry that the quality of my hand-writing may not be so good in some of the notes. But they should be readable and comprehendable.

  

Lecture 1   12.1 - 3D Coordinate System Lecture 2   12.2 - Vectors Lecture 3   12.3 - The Dot Product Lecture 4   12.4 - The Cross Product Lecture 5   12.5 - Lines and Planes in 3D Lecture 6   10.1-13.1 - Parametric curves in 2D and 3D Lecture 7   10.2 - Calculus with parametric curves Lecture 8   13.1-2-3 - Calculus with vector-valued functions Lecture 9   13.3-4 - Normal, Binormal Vectors, Motion in Space Lecture 10  14.1 - Functions of Two Variables Lecture 11  14.2 - Limits and Continuity Lecture 12  14.3 - Partial Derivatives Lecture 13  14.4 - Tangent Planes, Differentiability, Linear Approximations Lecture 14  14.5 - The Chain Rule Lecture 15  14.6 - Directional Derivatives and Gradient Vector Lecture 16  14.7 - Basics of Optimization Lecture 17  14.7-8 - Unconstrained and Constrained Optimization Lecture 18  15.1 - Double Integrals over Rectangular Domains Lecture 19  15.2 - Iterated Integrals over Rectangular Domains Lecture 20  15.3 - Double Integrals over General Domains Lecture 21  15.4 - Double Integrals in Polar Coordinates