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- Multivariable Calculus - Chapter 1 - (a) Basics, (b) More Depth, (c) + Linear Algebra.
- Multivariable Calculus - Chapter 2 - (a) Basics, (b) More Depth, (c) + Linear Algebra.
- 1 (a) - Partial Derivatives
- 1 (b) - Partial Derivatives
- 2 (a) - The Total Derivative
- 3 (a) - Linear Approximation & the Tangent Plane
- 3 (b) - Linear Approximation & the Tangent Planes & the Differential
- 4 (a) - Differentiation Rules
- 5 (a) - The Directional Derivative
- 6 (a) - Level Sets & Gradient Values
- 7 (a) - Change of Coordinates
- 8 (a) - Parameterizing Surfaces
- 9 (a) - Local Extrema
- 10 (a) - Optimization
- 11 (a) - Lagrange Multipliers
- 12 (a) - Implicit Differentiation
- 13 (a) - Multivariable Taylor Polynomials and Series
- Chapter 3
- 1 - Partial Anti-Derivatives & Iterated Integrals
- 2 - Integration in R²
- 3 - Integration with Polar Coordinates
- 4 - Integration in R³
- 5 - Volume
- 6 - Integration with Cylindrical and Spherical Coordinates
- 7 - Average Value
- 8 - Mass & Density
- 9 - Centers of Mass
- 10 - Moments of Inertia
- 11 - Surfaces & Area
- Chapter 4