Calculus - Divergence and Curl (English)

   Thursday, November 26, 2020   

Starting a new Lecture Notes Series on Calculus - Divergence and Curl 

Youtube Lecture Playlist Credits 

Channel Name: Michel van Biezen

Faculty Name: Michel van Biezen Sir

So Let Us Start to This Journey of Learning
Calculus - Divergence and Curl
By Lecture Notes together!

Lecture Description of this above Topic:

Lecture 1: What is the Del Operator?

Lecture 2: What is the Gradient?

Lecture 3: What is the Divergence?

Lecture 4: What is the Divergence? Part 3

Lecture 5: What is the Divergence? Part 4

Lecture 6: What is the Divergence? A Visual Solution

Lecture 7: Calculating the Divergence (Cartesian) Ex. 1

Lecture 8: Calculating the Divergence (Cartesian) Ex. 2

Lecture 9: Calculating the Divergence (Cartesian) Ex. 3

Lecture 10: Calculating the Divergence (Cartesian) Ex. 4

Lecture 11: What is the Curl? Part 1

Lecture 12: What is the Curl? Part 2

Lecture 13: What is the Curl? Part 3

Lecture 14: The Sign of a Curl: Example

Lecture 15: The Curl: Change in One Direction

Lecture 16: The Curl: Change in F is NON-Linear

Lecture 17: The Curl of a Conservative Vector Field

Lecture 18: The Curl of a Conservative Vector Field: Ex. 1

Lecture 19: The Curl of a Conservative Vector Field: Ex. 2

Lecture 20: The Curl of a Conservative Vector Field: Ex. 3

Lecture 21: What is the Laplace Operator?

Lecture 22: The Laplace Operator: Ex. 1

Lecture 23: The Laplace Operator: Ex. 2

Lecture 24: Identity 1: DIV(F+G)=DIV(F)+DIV(G)

Lecture 25: Identity 2: CURL(F+G)=CURL(F)+CURL(G)

Lecture 26: Identity 3: DIV(f G)=f [DIV(F)]+F [Gradient(f)]

Lecture 27: Identity 4: CURL(f G)=f [CURL(F)]+Gradient(f)xF

Lecture 28: Identity 5: DIV(FxG)=G [CURL(F)]-F [CURL(G)]

Lecture 29: Identity 6: DIV[Gradient(F) x Gradient(G)]=0

Lecture 30: Identity 7: CURL[CURL(F)]=Grad[DIV(f)] – (Grad)^2(F)

Lecture 31: An Interesting Example

Lecture 32: Cylindrical Coordinates

Lecture 33: Cylindrical Coordinates: Small Displacement dr

Lecture 34: Determine if the Vector Field Conservative? Ex. 2

Lecture 35: del Operator in Cylindrical Coodinates

Lecture 36: Converting i, j, k to Cylindrical Coodinates

Lecture 37: Find the Divergence in Cylindrical Coodinates***