Partial Differential Eqn. - Ch.1: Introduction (English)

   Thursday, December 03, 2020   

Starting a new Lecture Notes Series on Partial Differential Eqn. - Ch.1: Introduction 

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Partial Differential Eqn. - Ch.1: Introduction
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Lecture Description of this above Topic:

Lecture 1: What is a Partial Differential Eqn?

Lecture 2: Comparing a PDE to a DE

Lecture 3: Partial Differential Eqn Notation

Lecture 4: Partial Differential Operator

Lecture 5: The 1-D Wave Equation

Lecture 6: Partial Derivative Understood

Lecture 7: Is the Function a Solution of PDE?

Lecture 8: Is the Function a Solution of PDE?

Lecture 9: Comparing Solutions: DE & PDE

Lecture 10: General Sol. of 2nd Order PDE

Lecture 11: General Sol. of PDE w/ 3 Variable

Lecture 12: What is the Gradient Operator?

Lecture 13: A Gradient Operator Example

Lecture 14: What is the Laplacian Operator?

Lecture 15: Understanding the Laplacian Operator

Lecture 16: What are the Most Important PDEs?

Lecture 17: Some Solutions of a 2nd Order PDE

Lecture 18: General Solution of a 1st Order PDE

Lecture 19: General Form of 1st Order Linear PDE

Lecture 20: First Order PDE: Example 1

Lecture 21: 1st Order PDE (2 Partial Deriv.)

Lecture 22: 1st Order PDE (2 Partial Deriv.) Ex

Lecture 23: 1st Order PDE (2 Partial Deriv.) Ex

Lecture 24: 1st Order PDE (2 Partial Deriv.) 1

Lecture 25: 1st Order PDE (2 Partial Deriv.) 2

Lecture 26: Gen. Form 2nd PDE (2 Partial Deriv.)

Lecture 27: Gen. Form of 2nd PDE: Simplified

Lecture 28: 2nd PDE: General Form

Lecture 29: 2nd PDE: General Form part 2

Lecture 30: 1-D Wave Equation

Lecture 31: 2-D Laplace Equation

Lecture 32: 2nd Order PDE B^2 = 4AC

Lecture 33: 2nd: Using Characteristic Eqn.

Lecture 34: 2nd: Using Boundary Conditions

Lecture 35: 2nd: Non-Homogeneous PDE Ex.

Lecture 36: 1-D Wave Equation (Part 1)

Lecture 37: 1-D Wave Equation (Part 2)

Lecture 38: 3-D Wave Equation (Part 1)

Lecture 39: 3-D Wave Equation (Part 2)

Lecture 40: The Diffusion Equation (Part 1 of 5)

Lecture 41: The Diffusion Equation (Part 2 of 5)

Lecture 42: The Diffusion Equation (Part 3 of 5)

Lecture 43: The Diffusion Equation (Part 4 of 5)

Lecture 44: The Diffusion Equn (Part 5 of 5)