PDE | Lecture 1

Показать описание

Lecturer: Professor Xiaoqian Xu, Ph.D.
Topic: "What is PDE?", linearity, and the most important PDEs.

Textbook: Walter Strauss, "Partial Differential Equations: An Introduction" (second edition)

The course does have several prerequisites, such as: understanding basic facts in multivariable calculus (e.g. chain rule, mixed derivatives, Green Theorem, divergence theorem, Jacobians, infinite series of functions, directional derivatives) and just a couple of standard ODEs.

However, a lot of the prerequisites can be understood on the way, you can also review them in the Appendix of the Strauss' book.

Enjoy ;)

Рекомендации по теме

Комментарии

My favorite phrase from the lecture is: "Remember, every PDE is a story. When you try to solve a PDE, you try to see what the story tells you."

aiyakuchukova

By the way, feel free to jump ahead to 34:23, because we are discussing the course syllabus first quarter of the class :)

bubbleteamath

And, at 2:01:00 we remind of several important facts and talk about the prerequisites in more details (they aren't that bad, by the way ;)

bubbleteamath

PDE | Lecture 1

PDE 1 | Introduction

PDE - Lecture 1

PDE | Lecture 1

Partial Differential Equations (MTH-PDE) Lecture 1

PDE Module 1 Lecture 1

PDE Lecture1

Partial Differential Equations (MTH-PDE) Lecture 1

(PDE) Lecture 1: Introduction to partial differential equations

Partial Differential Equations (MTH-PDE) Lecture 1

Stefan Volkwein: Introduction to PDE-constrained optimization - lecture 1

Lecture 1 (Introduction. ODE vs. PDE)

PDE Lecture 1 The Transport Equation

PDE. Lecture #1. Introduction to the course on partial differential equations.

MIT Numerical Methods for PDE Lecture 1: Finite difference solution of heat equation

PDE :chapter 1first order partial differential equations (lecture 1)

Introduction to a PDE- Lecture 1# General form of a PDE # Well-posedness of a PDE

PDEs, Lecture 1, Order and Degree of PDE

Lecture-1 Introduction to PDE

Differential equations, a tourist's guide | DE1

Lecture 1 Introduction to PDE

Special Functions and PDE Lecture #1

PDEs 1: The Lay of the Land

Partial Differential Equation|| Definition, and classification of Ist order PDE|| Lecture-1

PDE Lecture 1 Transport equation