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1. Functions Of Several Variables
2. Limits And Continuity
3. Partial Derivatives
4. Tangent Planes And Linear Approximations
5. The Chain Rule
6. Directional Derivatives And The Gradient Vector
7. Maximum And Minimum Values
8. Lagrange Multipliers

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1. Double Integrals Over Rectangles
2. Double Integrals Over General Regions
3. Double Integrals In Polar Coordinates
4. Applications Of Double Integrals
5. Surface Area
6. Triple Integrals
7. Triple Integrals In Cylindrical Coordinates
8. Triple Integrals In Spherical Coordinates
9. Change Of Variables In Multiple Integrals

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1. Vector Fields
2. Line Integral
3. The Fundamental Theorem For Line Integrals
4. Green’s Theorem
5. Curl And Divergence
6. Parametric Surfaces
7. Surface Integrals
8. Stokes’ And Divergence Theorems