Table of Contents: MTH 212 Calculus III
 Page ID
 9985
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 Chapter 11: Vectors and the Geometry of Space
 Chapter 12: Vectorvalued Functions
 Chapter 13: Functions of Multiple Variables and Partial Derivatives

 13.0: Introduction to Functions of Multiple Variables
 13.1: Functions of Multiple Variables
 13.2: Limits and Continuity
 13.3: Partial Derivatives
 13.4: Tangent Planes, Linear Approximations, and the Total Differential
 13.5: The Chain Rule for Functions of Multiple Variables
 13.6: Directional Derivatives and the Gradient
 13.7: Taylor Polynomials of Functions of Two Variables
 13.8: Optimization of Functions of Several Variables
 13.9: Constrained Optimization
 13.10: Lagrange Multipliers
 13.E: Differentiation of Functions of Several Variables (Exercise)
 Chapter 14: Multiple Integration

 14.1: Iterated Integrals and Area
 14.2a: Double Integrals Over Rectangular Regions
 14.2b: Double Integrals Over General Regions
 14.3: Double Integration with Polar Coordinates
 14.4: Triple Integrals
 14.5: Triple Integrals in Cylindrical and Spherical Coordinates
 14.6: Calculating Centers of Mass and Moments of Inertia
 14.7: Change of Variables in Multiple Integrals (Jacobians)
 14.E: Multiple Integration (Exercises)
 14E: Exercises for Chapter 14
 Chapter 15: Multiple Integration