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Outline
Multivariate Calculus - Stewart
Chapter 12 Vectors and the Geometry of Space
Chapter 13 Vector Functions
Chapter 14 Partial Derivatives
Chapter 15 Multiple Integrals
Chapter 16 Vector Calculus
Multivariate Calculus - Stewart
Author:
Surya
Table of Contents
Chapter 12 Vectors and the Geometry of Space
Vectors
Planes, Cylinders, and Quadric Surfaces
Chapter 13 Vector Functions
Arc Length of a Curve (2D and 3D)
Curvature of a 3D Curve
Arc Length of a Curve (2D and 3D)
Curvature, Tangent, Normal, and Binormal Vectors
Position, Velocity, and Acceleration Vectors of a moving particle
Chapter 14 Partial Derivatives
14.1 Level Curves and Contour Map
Geometric Meaning of Partial Derivatives
Tangent Plane Approximation
14.6 Directional Derivative and Gradient Vector
14.7 Maximum and Minimum Values
14.8 Lagrange Multipliers Method of Optimization.
Lagrange's Multiplier Method: An example
Chapter 15 Multiple Integrals
Parametric Curves in 2D and 3D
Double Integrals over a Rectangle
15.5 Computing Surface Area
Chapter 16 Vector Calculus
Graph the Line
Next
Vectors
New Resources
Poorly Drawn Parallelograms 2
alg2_05_05_04_applet_exp_fxn_flvs
Icosahedron
Poorly Drawn Parallelograms 3
Tutorial: Create lists of numbers and objects
Discover Resources
Project CH8 #1
Graphs of Motion
Rhombus Exploration
Area & Perimeter Tool
Using Order of Operations and Grouping Symbols to Create Numerical Expressions
Discover Topics
Secant Line or Secant
Random Variables
Set Theory
Dilation
Geometric Mean