A Lecture on Partial Differential Equations

A Lecture on Partial Differential Equations Oliver Knill, Harvard University, October 7, 2019 This is a demonstration lecture in the course Math 21a, Fall 2019. It is filed here under pedagogy as it will later be used to illustrate a few pedagogical remarks (at the end). Resources: Course wide Handout [PDF] Section Worksheet [PDF] Slides [PDF] Related: A handout for Math 22 (a notch steeper) An exhibit from 2003 An other old handout from 2006 1. Partial Differential Equations An equation for an unknown function f involving partial derivatives of f is called a partial differential equation. Essentially all fundamental laws of nature are partial differential equations as they combine various rate of changes. We are affected by partial differential equations on a daily basis: light and sound propagates according to the wave equation which is a consequence of the Maxwell equations, the fabric of space and time are described by the Einstein equations which tells how mass affects distanc

A Lecture on Partial Differential Equations A Lecture on Partial Differential Equations Oliver Knill, Harvard University, October 7, 2019 This is a demonstration lecture in the course Math 21a, Fall 2019 . It is filed here under pedagogy as it will later be used to illustrate a few pedagogical remarks (at the end). Resources : Course wide Handout [PDF] Section Worksheet [PDF] Slides [PDF] Related: A handout for Math 22 (a notch steeper) An exhibit from 2003 An other old handout from 2006 1. Partial Differential Equations An equation for an unknown function f involving partial derivatives of f

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