Lecture Notes Spring 2015
Section 12.1 Welcome to the Third Dimension.pdf
Section 12.2 Quadric Surfaces.pdf
Section 12.3 Vectors in 3D.pdf
Section 12.4 The Dot Product.pdf
Section 12.5 The Cross Product.pdf
Section 12.6 Lines and Planes in Space.pdf
Section 13.1 Vector-Valued Functions.pdf
Section 13.2 Calculus of Vector Functions.pdf
Section 13.3 Arc Length and Curvature.pdf
Section 13.4 Velocity and Acceleration.pdf
Section 14.1 Multi-Variable Functions.pdf
Section 14.2 Limits and Continuity.pdf
Section 14.3 Partial Derivatives.pdf
Section 14.4 Tangent Planes and Linear Approximations.pdf
Section 14 5 The Chain Rule.pdf
Section 14.6 Directional Derivatives and Gradients.pdf
Section 14.7 Extrema of Two Variable Functions.pdf
Section 14.8 Lagrange Multipliers.pdf
Section 15.1 Double Integrals and Volume.pdf
Section 15.2 Iterated Integrals.pdf
Section 15.3 More Fun with Double Integrals.pdf
Section 15.4 Polar Coordinates.pdf
Section 15.5 Center of Mass and Moment of Inertia.pdf
Section 15.6 Triple Integrals.pdf
Section 15.7 Cylindrical and Spherical Coordinates.pdf
Section 15.8 Triple Integrals in Cylindrical and Spherical Coordinates.pdf
Section 15.9 Change of Variables.pdf
Section 16.1 Vector Fields.pdf
Section 16.2 Line Integrals.pdf
Section 16.4 Green's Theorem.pdf
Section 16.5 Curl and Divergence.pdf
Section 16.6 Parametric Surfaces.pdf
Section 16.7 Surface Integrals.pdf
Section 16.8 Stokes' Theorem.pdf
Section 16.9 The Divergence Theorem.pdf
Interpreting Integrals by their Differentials and Other Musings.pdf