在2024年11月28日星期四 UTC+8 23:22:39<Edward K. Ream> 写道:

Once again I am confronting my life after Leo. This time I have a clear 
plan. I shall study engineering math under the long-distance direction of 
Prof. Steve Brunton 
<https://www.me.washington.edu/facultyfinder/steve-brunton> at the "other" 
UW, the University of Washington. In other words, I'll study his YouTube 
videos and his outstanding online course, Data Driven Science 
<http://databookuw.com/>.


I started with a superb introductory video: Differential Equations Overview 
<https://www.youtube.com/watch?v=9fQkLQZe3u8&list=PLMrJAkhIeNNTYaOnVI3QpH7jgULnAmvPA>.
 
The first 10 minutes:


- Explain the place of differential equations (diff-eqs) in engineering 
mathematics.

- Reveal the intimate connection between diff-eqs and linear algebra.

- Explain how eigenvectors help solve systems of diff-eqs.

- Show why mathematics from 200-300 years ago helps develop intuition that 
is relevant today.


Brunton assumes only that the viewer: has taken a course in calculus and is 
bright and motivated.


Specifically, Brunton does *not* assume the viewer remembers much calculus. 
The series contains refresher lectures for *everything* the viewer needs to 
know! Any motivated viewer will finish this video *confident* they can 
master this corner of engineering mathematics!


*Summary*


I no longer fear finishing Leo. My next project is to study *all* of 
Brunton's videos, starting with the differential equations.


Edward


P.S. Brunton's online course uses Jupyter Notebooks for exercises. 
Following his course may suggest new features for Leo.

EKR


wow, Edward,  you are my role model. 

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