This page will be updated as the semester progresses.

Section 12.1 (Three-dimensional coordinate system) Blank notes    Completed notes
Section 12.2 (Vectors) Blank notes    Completed notes
Section 12.3 (The dot product) Blank notes    Completed notes
Section 12.4 (The cross product) Blank notes    Completed notes
Section 12.5 (Equations of lines and planes) Blank notes    Completed notes
Section 12.6 (Cylinders and quadric surfaces) Blank notes    Completed notes

Sections 13.1, 13.2 (Vector functions and space curves, Derivatives and integrals of vector functions) Blank notes    Completed notes
Section 13.3 (Arc length and curvature) Blank notes    Completed notes
Section 13.4 (Motion in space: velocity and acceleration) Blank notes    Completed notes

Section 14.1 (Functions of several variables) Blank notes    Completed notes
Section 14.3 (Partial derivatives) Blank notes    Completed notes
Section 14.4 (Tangent planes and linear approximations) Blank notes    Completed notes
Section 14.5 (Chain rule) Blank notes    Completed notes
Section 14.6 (Directional derivativatives and the gradient vector) Blank notes    Completed notes
Section 14.7 (Maximum and minimum values) Blank notes    Completed notes
Section 14.8 (Lagrange multipliers) Blank notes    Completed notes

Section 15.1 (Double integrals over rectangles) Blank notes    Completed notes
Section 15.2 (Double integrals over regular regions) Blank notes    Completed notes
Section 15.3 (Double intergals in polar coordinates) Blank notes    Completed notes
Section 15.4 (Applications of double integrals) Blank notes    Completed notes
Section 15.6 (Triple integrals) Blank notes    Completed notes
Section 15.7 (Triple integrals in cylindrical coordinates) Blank notes    Completed notes
Section 15.8 (Triple integrals in spherical coordinates) Blank notes    Completed notes
Section 15.9 (Change of variables in multiple integrals) Blank notes    Completed notes

Section 16.1 (Vector Fields) Blank notes    Completed notes
Section 16.2 (Line Integrals) Blank notes    Completed notes
Section 16.3 (The fundamental theorem for line integrals) Blank notes    Completed notes
Section 16.4 (Green's Theorem) Blank notes    Completed notes
Section 16.5 (Curl and divergence) Blank notes    Completed notes
Section 16.6 (Parametric surfaces and their area) Blank notes    Completed notes
Section 16.7 (Surface integrals) Blank notes    Completed notes
Section 16.8 (Stoke's theorem) Blank notes    Completed notes
Section 16.9 (The divergence theorem) Blank notes    Completed notes