MATHEMATICA NOTEBOOKS  FOR MATH 301

The following notebooks were used in class to accompany the lectures listed.

• Section 11.1 -- Rectangular Coordinates in 3-Space; Spheres; Cylindrical Surfaces

• Section 11.2 -- Vectors

• Section 11.3 -- Dot Product; Projections

• Section 11.4 -- Cross Product

• Section 11.5 -- Parametric Equations of Lines

• Section 11.6 -- Planes in 3-Space

• Section 11.7 -- Quadric Surfaces
   

• Section 12.1 -- Introduction to Vector-Valued Functions

• Section 12.2 -- Calculus of Vector-Valued Functions

• Section 12.3 -- Arc Length

• Section 12.4 -- Unit Tangent, Normal, and Binormal Vectors

• Section 12.5 -- Curvature

• Section 12.6 -- Motion Along a Curve
   

• Section 13.1 -- Functions of Two or More Variables

• Section 13.2 -- Limits and Continuity

• Section 13.3 -- Partial Derivatives

• Section 13.4 -- Differentiability, Differentials, and Local Linearity

• Section 13.5 -- The Chain Rule

• Section 13.6 -- Directional Derivatives and Gradients

• Section 13.7 -- Tangent Planes and Normal Vectors

• Section 13.8 -- Maxima and Minima of Functions of Two Variables

• Section 13.9 -- Lagrange Multipliers
   

• Section 14.1 -- Double Integrals

• Section 14.2 -- Double Integrals over Nonrectangular Regions

• Section 10.2 -- Polar Coordinates

• Section 14.3 -- Double Integrals in Polar Coordinates

• Section 14.5 -- Triple Integrals

• Section 11.8 -- Cylindrical and Spherical Coordinates

• Section 14.6 -- Triple Integrals in Cylindrical and Spherical Coordinates

• Section 14.8 -- Centers of Gravity Using Multiple Integrals
   

• Section 15.1 -- Vector Fields

• Section 15.2 -- Line Integrals

• Section 15.4 -- Green's Theorem

• Section 14.4 -- Surface Area; Parametric Surfaces

• Section 15.5 -- Surface Integrals

• Section 15.6 -- Applications of Surface Integrals; Flux

• Section 15.7 -- The Divergence Theorem

• Section 15.8 -- Stokes' Theorem

• Section 15.3 -- Independence of Path; Conservative Vector Fields