Chapter 12: Vectors and the Geometry of Space
Chapter 13: Vector Functions
Chapter 14: Partial Derivatives
- Lecture 10: Section 14.1 Functions of Two Variables
- Lecture 11: Section 14.2 Limits and Continuity
- Lecture 12: Section 14.3 Partial Derivatives
- Lecture 13: Section 14.4 Tangent Planes
- Lecture 14: Section 14.5 Chain Rule
- Lecture 15: Section 14.6 Directional Derivatives and the Gradient
- Lecture 16: Section 14.7 Max and Min Values
- Lecture 17: Section 14.8 Lagrange Multipliers
Chapter 15: Multiple Integrals
- Lecture 18: Section 15.1 Multiple Integrals
- Lecture 19: Section 15.2 Double Integrals over general regions
- Lecture 20: Section 15.3 Double Integrals over polar regions
- Lecture 26: Section 15.6 Triple Integrals
- Lecture 27: Section 15.7 Cylindrical Coordinates
- Lecture 28: Section 15.8 Spherical Coordinates