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M273: Multivariable Calculus
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- Montana_State_University
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- EN
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Mục lục· 82 mục
- 12: Vectors and the Geometry of Space
- 12.1: Vectors in Space
- Exercises for Vectors in Space
- 12.2: Vectors in the Plane
- Exercises for Vectors in the Plane
- 12.3: The Dot Product
- Exercises for The Dot Product
- 12.4: The Cross Product
- Exercises for The Cross Product
- 12.5: Equations of Lines and Planes in Space
- Exercises for Equations of Lines and Planes in Space
- 12.6: Quadric Surfaces
- Exercises for Quadric Surfaces
- 12.7: Cylindrical and Spherical Coordinates
- Exercises for Cylindrical and Spherical Coordinates
- Chapter 12 Review Exercises
- 13: Vector-valued Functions
- 13.1: Vector-Valued Functions and Space Curves
- Exercises for Section 13.1
- 13.2: The Calculus of Vector-Valued Functions
- Exercises for Section 13.2
- 13.2b: The Calculus of Vector-Valued Functions II
- 13.3: Motion in Space
- Exercises for Section 13.3
- 13.4: Arc Length and Curvature
- Exercises for Section 13.4
- 13.5: Acceleration and Kepler's Laws
- Exercises for Section 13.5
- Chapter 13 Review Exercises
- 14: Functions of Multiple Variables and Partial Derivatives
- Constrained Optimization
- Differentiation of Functions of Several Variables (Exercise)
- Directional Derivatives and the Gradient
- Directional Derivatives and the Gradient (Exercises)
- Functions of Multiple Variables
- Functions of Multiple Variables (Exercises)
- Introduction to Functions of Multiple Variables
- Lagrange Multipliers
- Exercises for Lagrange Multipliers
- Limits and Continuity
- Exercises for Limits and Continuity
- Optimization of Functions of Several Variables
- Optimization of Functions of Several Variables (Exercises)
- Partial Derivatives
- Partial Derivatives (Exercises)
- Tangent Planes, Linear Approximations, and the Total Differential
- Tangent Planes, Linear Approximations, and the Total Differential (Exercises)
- Taylor Polynomials of Functions of Two Variables
- Taylor Polynomials if Functions of Two Variables (Exercises)
- The Chain Rule for Functions of Multiple Variables
- The Chain Rule for Functions of Multiple Variables (Exercises)
- 15: Multiple Integration
- Calculating Centers of Mass and Moments of Inertia
- Change of Variables in Multiple Integrals (Jacobians)
- Double Integrals Over General Regions
- Double Integrals Part 2 (Exercises)
- Double Integrals Over Rectangular Regions
- Double Integrals Part 1 (Exercises)
- Double Integration with Polar Coordinates
- Double Integrals in Polar Coordinates
- Double Integrals in Polar Coordinates (Exercises)
- Exercises for Chapter 14
- Iterated Integrals and Area
- Iterated Integrals and Area (Exercises)
- Multiple Integration (Exercises)
- Triple Integrals
- Triple Integrals in Cylindrical and Spherical Coordinates
- Triple Integrals (Exercises 2)
- Triple Integrals (Exercises)
- 16: Vector Fields Line Integrals and Vector Theorems
- Conservative Vector Fields
- Divergence and Curl
- Green's Theorem
- Introduction to Vector Field Chapter
- Line Integrals
- Line Integrals (Exercises)
- Stokes' Theorem
- Surface Integrals
- The Divergence Theorem
- Vector Calculus (Exercises)
- Vector Fields
- Vector Fields (Exercises)