Calculus 3 Lecture 13.5: The Chain Rule for Multivariable Functions

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• ✓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

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