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

Warm-up: Computing TNB.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 16.3 FTLI.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