Calculus 3 (English)

   Tuesday, December 19, 2023   

Starting a new Lecture Notes Series on Calculus 3

Youtube Lecture Playlist Credits 

Channel Name: Professor Leonard

So Let Us Start to This Journey of Learning 

Calculus 3 By Lecture Notes together!

Lecture 1: Calculus 3 Lecture 11.1: An Introduction to Vectors

Lecture 2: Calculus 3 Lecture 11.2: Vectors in 3-D Coordinate System

Lecture 3: Calculus 3 Lecture 11.3: Using the Dot Product

Lecture 4: Calculus 3 Lecture 11.4: The Cross Product

Lecture 5: Calculus 3 Lecture 11.5: Lines and Planes in 3-D

Lecture 6: Calculus 3 Lecture 11.6: Cylinders and Surfaces in 3-D

Lecture 7: Calculus 3 Lecture 11.7: Using Cylindrical and Spherical Coordinates

Lecture 8: Calculus 3 Lecture 12.1: An Introduction To Vector Functions

Lecture 9: Calculus 3 Lecture 12.2: Derivatives and Integrals of Vector Functions

Lecture 10: Calculus 3 Lecture 12.3: Arc Length/Parameterization, TNB (Frenet-Serret) Intro

Lecture 11: Calculus 3 Lecture 12.3/12.5: TNB (Frenet-Serret) Frames, Curvature, Torsion, Encapsulation

Lecture 12: Calculus 3 Lecture 12.4: Velocity and Acceleration of Vector Functions

Lecture 13: Calculus 3 Lecture 13.1: Intro to Multivariable Functions (Domain, Sketching, Level Curves)

Lecture 14: Calculus 3 Lecture 13.2: Limits and Continuity of Multivariable Functions (with Squeeze Th.)

Lecture 15: Calculus 3 Lecture 13.3: Partial Derivatives (Derivatives of Multivariable Functions)

Lecture 16: Calculus 3 Lecture 13.4: Finding Differentials of Multivariable Functions

Lecture 17: Calculus 3 Lecture 13.5: The Chain Rule for Multivariable Functions

Lecture 18: Calculus 3 Lecture 13.6: Finding Directional Derivatives and Gradients

Lecture 19: Calculus 3 Lecture 13.7: Finding Tangent Planes and Normal Lines to Surfaces

Lecture 20: Calculus 3 Lecture 13.8: Finding Extrema of Functions of 2 Variables (Max and Min)

Lecture 21: Calculus 3 Lecture 13.9: Constrained Optimization with LaGrange Multipliers

Lecture 22: Calculus 3 Lecture 14.1: INTRODUCTION to Double Integrals (Background Info)

Lecture 23: Calculus 3 Lecture 14.2: How to Solve Double/Repeated/Iterated Integrals

Lecture 24: Calculus 3 Lecture 14.3: Double Integrals over POLAR REGIONS

Lecture 25: Calculus 3 Lecture 14.4: Center of Mass (and Moments of Mass and Inertia) for Lamina in 2-D

Lecture 26: Calculus 3 Lecture 14.6: How to Solve TRIPLE INTEGRALS (Along with Center of Mass and Volume)

Lecture 27: Calculus 3 Lecture 14.7: TRIPLE Integrals Over Regions with CYLINDRICAL or SPHERICAL Coord.

Lecture 28: Calculus 3 Lecture 14.8: How to Change Variables in Multiple Integrals (Using the Jacobian)

Lecture 29: Calculus 3 Lecture 15.1: INTRODUCTION to Vector Fields (and what makes them Conservative)

Lecture 30: Calculus 3 Lecture 15.2: How to Find Divergence and Curl of Vector Fields

Lecture 31: Calculus 3 Lecture 15.3: How to Compute Line Integrals (Over Non-Conservative V.Fields)

Lecture 32: Line Integrals on CONSERVATIVE Vector Fields (Independence of Path): Calculus 3 Lecture 15.4

Lecture 33: Green's Theorem: Calculus 3 Lecture 15.5

Lecture 34: Surface And Flux Integrals, Parametric Surf., Divergence/Stoke's Theorem: Calculus 3 Lecture 15.6_9