MIT, (18.353/12.006/2.050)j,  Rosales. Fall 2023

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 Policies regarding homeworks/problem sets, PLEASE READ THEM:

 There will be about 8 problem sets during the semester (1 every 1.5 weeks,
 more or less).

 A) COLLABORATION:  It is OK to exchange information with other students, in
    the sense of hints,  general ideas,  pitfalls to avoid and so on;  i.e.:
    "within reason" ---- "let me see/copy" your answer is not within reason.
    But, the final answer must be written 100% alone,  with understanding of
    every dot that goes in there.

    WARNING: ****************************************************************
    * You are 100% responsible for any answer you supply in a problem set, or
    * (for that matter) in the term paper.
    * I can call you any time to explain your answer.   If I am not convinced
    * that you understand what you wrote, you will loose credit,    up to and
    * including loosing credit for the whole problem set, depending on degree
    * of lack of understanding.     In the case of the term paper, this could
    * make it "not-acceptable".
    *************************************************************************

 B) WARNING-WARNING-WARNING-WARNING-WARNING--CLARITY:
    ************************************************************************
    See the guidelines for problem sets in the syllabus (typed).
    Furthermore:
    -- To get full credit, the arguments have to be clear, complete, and
       in reasonably good English. Read your answer and ask the question:
       "would someone else understand this?"
    -- It is almost certain that if you cannot properly explain what you
       are doing, you do not understand it.
    -- Spell-check.

    As for the level of rigor:  "Math. proof level" is not expected.    The
    same  level as in the lectures, book, or notes ("reasonable scientist")
    is the expectation.
    ************************************************************************

 C) Note that only the  "quiz-problems"  will be graded in each problem set.
    Since these will not be announced, you should do all the problems --- if
    you happen to miss them in your answer,  you will get zero credit,  even
    if you did the others. Answers will be provided for all the problems.

 D) Any "suggested reading", "suggested problems" and any other "suggested"
    are for you alone to do or not do. Thus: DO NOT hand in these problems!

 E) About COMPUTER ASSIGNMENTS:

    a) Use any language or computer you like. I recommend Matlab. I will
       provide some scripts that should be useful to do the problem sets.
       Use them!

    b) Include BRIEF explanations of how the problem was solved (a printout
       of a program is not enough!). I want to know WHAT is the IDEA!

    c) Results must be CONDENSED to some COMPREHENSIBLE and CONCISE form:
       * Use plots, tables or graphs. Do not show "raw" numerical output.
       * Make sure one does not have to hunt for the answers all over the
         place.  They must be EASY to find and identify.  Put them at the 
         begining, for example, and then justify them.

    e) Include a printout of your program appended (AT THE END) --- if there
       is one.  If you used "canned" software, state which one, and SPELL
       the numerical parameters and other such data used  --- these things
       usually give you a choice of time step, numerical method, etc. I do
       not want to see such things used as "black boxes" with default
       parameters. I want you to think, and know, what you are doing.

    f) Look at your output and make very sure it makes sense! That a program
       "runs" does not mean it does so as intended.  For example, if you are
       using too large a time step, you will still get some output ... which
       can easily be nonsense!

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