第 22 节，共 34 节
Calculus 3 Lecture 14.1: INTRODUCTION to Double Integrals (Background Info)
课时34 节课
- 1Calculus 3 Lecture 11.1: An Introduction to Vectors
- 2Calculus 3 Lecture 11.2: Vectors in 3-D Coordinate System
- 3Calculus 3 Lecture 11.3: Using the Dot Product
- 4Calculus 3 Lecture 11.4: The Cross Product
- 5Calculus 3 Lecture 11.5: Lines and Planes in 3-D
- 6Calculus 3 Lecture 11.6: Cylinders and Surfaces in 3-D
- 7Calculus 3 Lecture 11.7: Using Cylindrical and Spherical Coordinates
- 8Calculus 3 Lecture 12.1: An Introduction To Vector Functions
- 9Calculus 3 Lecture 12.2: Derivatives and Integrals of Vector Functions
- 10Calculus 3 Lecture 12.3: Arc Length/Parameterization, TNB (Frenet-Serret) Intro
- 11Calculus 3 Lecture 12.3/12.5: TNB (Frenet-Serret) Frames, Curvature, Torsion, Encapsulation
- 12Calculus 3 Lecture 12.4: Velocity and Acceleration of Vector Functions
- 13Calculus 3 Lecture 13.1: Intro to Multivariable Functions (Domain, Sketching, Level Curves)
- 14Calculus 3 Lecture 13.2: Limits and Continuity of Multivariable Functions (with Squeeze Th.)
- 15Calculus 3 Lecture 13.3: Partial Derivatives (Derivatives of Multivariable Functions)
- 16Calculus 3 Lecture 13.4: Finding Differentials of Multivariable Functions
- 17Calculus 3 Lecture 13.5: The Chain Rule for Multivariable Functions
- 18Calculus 3 Lecture 13.6: Finding Directional Derivatives and Gradients
- 19Calculus 3 Lecture 13.7: Finding Tangent Planes and Normal Lines to Surfaces
- 20Calculus 3 Lecture 13.8: Finding Extrema of Functions of 2 Variables (Max and Min)
- 21Calculus 3 Lecture 13.9: Constrained Optimization with LaGrange Multipliers
- 22Calculus 3 Lecture 14.1: INTRODUCTION to Double Integrals (Background Info)
- 23Calculus 3 Lecture 14.2: How to Solve Double/Repeated/Iterated Integrals
- 24Calculus 3 Lecture 14.3: Double Integrals over POLAR REGIONS
- 25Calculus 3 Lecture 14.4: Center of Mass (and Moments of Mass and Inertia) for Lamina in 2-D
- 26Calculus 3 Lecture 14.6: How to Solve TRIPLE INTEGRALS (Along with Center of Mass and Volume)
- 27Calculus 3 Lecture 14.7: TRIPLE Integrals Over Regions with CYLINDRICAL or SPHERICAL Coord.
- 28Calculus 3 Lecture 14.8: How to Change Variables in Multiple Integrals (Using the Jacobian)
- 29Calculus 3 Lecture 15.1: INTRODUCTION to Vector Fields (and what makes them Conservative)
- 30Calculus 3 Lecture 15.2: How to Find Divergence and Curl of Vector Fields
- 31Calculus 3 Lecture 15.3: How to Compute Line Integrals (Over Non-Conservative V.Fields)
- 32Line Integrals on CONSERVATIVE Vector Fields (Independence of Path): Calculus 3 Lecture 15.4
- 33Green's Theorem: Calculus 3 Lecture 15.5
- 34Surface And Flux Integrals, Parametric Surf., Divergence/Stoke's Theorem: Calculus 3 Lecture 15.6_9