College
of Redwoods - Multivariable Calculus Activities
ADD. KEYWORDS: Course Materials, Matlab, Scientific Notebook, Parametric
Equations, Snell's Law, Special Plane Curves, Graphing Polar Equations in
Matlab --- Script Files, An Introduction to Matlab Function M-Files, Lines
and Planes in Matlab, Surfaces in Matlab, Cylindrical Coordinates and Quadric
Surfaces, Velocity and Acceleration---Constant Speed,Level Curves in Matlab,
Linear Approximations, The Gradient, Max-Min and Saddle Points
The
Connected Curriculum Project - Montana State University
ADD. KEYWORDS: Mathematica, Maple, Calculators, Multiple
Integration, Area, Volume, and Torque, The Gradient and the Directional Derivative,
Arclength, Tangents, Normals, and Curvature, Line Integrals, Cylindrical and
Spherical Coordinates, Probability, Partial Differential Equation
Introducing Curves
ADD. KEYWORDS: Lecture notes, parametrization of curves,
groups of isometries, length of a curve, implicitly defined plane curves,
evolutes and involutes of plane curves, curvature, torsion and the Frenet-Serret
equations, and the Fundamental Theorem of Space Curves
Java Microscope
ADD. KEYWORDS: Vector fields, divergence and curl
Math 1224
- Vector Geometry
ADD. KEYWORDS: Course Materials, Tutorials, Parametric
Equations, Polar Equations, Complex Numbers, Plane Vectors, Vectors in R3,
Vector Functions
SOURCE: James E. Shockley, Virginia Tech
TECHNOLOGY: Quicktime Plug-in
Math 2507 online
notes
ADD. KEYWORDS: Lecture notes, Taylor's Theorem in Several
Variables, Gradinets and Tangent Planes, Newton's Method in Several Variables,
Critical Points and Optimization, Gradinets and Contour Curves, Lagrange Multipliers,
Types of Critical Points, Finding Limits of Integrals in Two Dimensions: A
Case Study, Paths, Parameterized Curves, and Parameterization, Tangent and
Normal Vectors of Curves in the Plane, Vector Fields and Line Integrals in
Two Dimensions, Work and Flux in Two Dimensions, More notes on the Divergence
and the Curl in Two Dimensions, Equivalence of the Divergence Theorem and
Green's Theorem in the Plane, Flux Density, Divergecne, and the Divergence
Theorem in Three Dimensions, Circulation Density, Curl, and Stokes's Theorem
in Three Dimensions
SOURCE: Eric Carlen, Georgia Institute of Technology
TECHNOLOGY: Java applets
Maxwell's Equations
ADD. KEYWORDS: Lecture Notes
SOURCE: Daniel Bump, Stanford University
TECHNOLOGY: Postscript reader
Multivariable
Calculus Maple Laboratories
ADD. KEYWORDS: Dot Products, Parametric Curves, Polar
Curves, Integration, Plotting Surfaces, Surface Extrema, Sequences and Series,
Koch Snowflakes
SOURCE: Murphy Waggoner, Simpson College
TECHNOLOGY: Maple
Multivariable Calculus
Online
ADD. KEYWORDS: Online textbook, Vector-Valued Functions,
Partial Differentiation, Surfaces and
Transformations, Multiple Integrals, Fundamental Theorems, Capstone: The Inverse
Square Law
SOURCE: Jeff Knisley, East Tennessee State University
TECHNOLOGY: Maple
Vector Calculus
ADD. KEYWORDS: Course Notes, Derivatives and Rates of
Change, Integration in Many Variables, The Integral Theorems, A Reference
of Coordinate Systems and Vector Formulas, Glossary of Major Terms
SOURCE: Kris H. Green, University of Arizona