18.306 Lecture 01 - Tue 2021 02 16 - Virtual
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Introductions by lecturer and students. Who we are.
You can address me as: ruben, hey prof., Mr. Rosales, Herr Doktor Professor,
    whatever suits you better.
For students: Name, course and level, where are they located, what do they
   expect of the course [why am I here], and any other remark.
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-- Discuss working groups and collaboration. Problem set partners.
-- Virtual lectures versus physical. See #1.
-- The importance of writing and notes; specially "cleaning up notes"
-- Go through Syllabus: problem sets, term paper and grading. See #2
   Books: the hyperbolic pde part of the class is from the Whitham book (or
   Debnath), while the linear pde's is from the Salsa book.
-- Piazza site. Encourage to use it to ask questions, so everyone can see the
   questions and the answers.
-- Questions and answers.

#1 Warning on the videos:
The lectures will be recorded and posted via the Canvas site. This is for the
benefit of students on a different time zone (or with some other difficulty),
for whom attending live is a nuisance. However:
      *** I strongly encourage you to attend live if you can, ***
      ***  and participate in the lecture [questions, etc.]   ***
Watching a video is a poor replacement for live participation. Learning is not
a "spectator sport". You have to be there, read the notes/books, do problems;
there is no magic way to learn without *lots* of brain sweat.

NOTE ON QUESTIONS: There are no stupid questions, if you have a doubt, or do
not understand something, NOT asking is what is silly. Further: your questions
help others. Sometimes we do not realize we have a question till someone else
asks it.

#2 Talk about the second paragraph in the grading section of the syllabus.
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% Course begins:
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Show talk: "A lecture on Shocks".

Comparison: pde versus ode theory. Examples, etc.
   Initial and boundary value problems. Well and ill-posed problems.
   Examples for ode BVP. Examples of pde/ode solutions. 
Specifically: start with point #001.
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