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10.7-1 - First and Second Derivative Tests
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Multivariable Calculus
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- 1 9.1-1 - Domains and Graphs
- 2 9.1-2 - The Distance Formula and the Equation of the Sphere
- 3 9.1-3 - Traces and Level Curves
- 4 9.2-1 - Introduction to Vectors
- 5 9.2-2 - The Arithmetic of Vectors
- 6 9.2-3 - The Magnitude of Vectors
- 7 9.3-1 - Introduction to the Dot Product
- 8 9.3-2 - Applications of the Dot Product
- 9 9.4-1 - Introduction to the Cross Product
- 10 9.4-2 - Properties of the Cross Product
- 11 9.5-1 - Lines in Space
- 12 9.5-2 - Planes in Space
- 13 9.6-1 - Vector Valued Functions
- 14 9.7-1 - Derivatives of Vector Functions
- 15 9.7-2 - Integrals and Projectile Motion
- 16 9.8-1 - Arc Length and the Arc Length Parameter
- 17 9.8-2 - Curvature
- 18 10.1-1 - Limits and Continuity
- 19 10.2-1 - First Order Partial Derivatives
- 20 10.3-1 - Second Order Partial Derivatives
- 21 10.4-1 - Tangent Planes
- 22 10.4-2 - Differentials
- 23 10.5-1 - The Chain Rule
- 24 10.6-1 - The Directional Derivative
- 25 10.6-2 - The Gradient
- 26 10.7-1 - First and Second Derivative Tests
- 27 10.7-2 - Restricted Domains
- 28 10.8-1 - Lagrange's Theorem
- 29 11.1-1 - Double Integrals over Rectangles
- 30 11.2-1 - Iterated Integrals
- 31 11.3-1 - Double Integrals over General Regions
- 32 11.4-1 - Areas and Masses
- 33 11.4-2 - Center of Mass
- 34 11.4-3 - Joint Probability Density Functions
- 35 11.5-1 - Polar Coordinates
- 36 11.6-1 - Parametric Surfaces and Surface Area
- 37 11.7-1 - Triple Integrals
- 38 11.8-1 - Cylindrical Coordinates
- 39 11.8-2 - Spherical Coordinates
- 40 11.9-1 - Change of Variables
