Submit written responses to the following to
your instructor for evaluation.
For each of the problems addressed in the Peer
Group Meeting, think about the following points.
- Does the solution make sense to you? What does it mean? Are
the units correct? The numerical value of the solution is of
limited value in this regard. It is much more important to consider
the solution stated in terms of the symbols used to represent
values of the data. (This is a perfect opportunity to correct
errors.)
- How could the problems addressed be generalized or otherwise
changed in an interesting way? How would the solutions change with
changes in the data, if they would change at all? For example, all
of the problems addressed are no more than two-dimensional. Would
the solutions change in an interesting way if the problems were
presented in three dimensions rather than two dimensions?
- Provide new solutions for changes you suggest in the problems
that were addressed in this Peer Group Meeting.
- Do the problems addressed here have any importance in a
larger context? For example, do they provide some basis for
addressing more "real world" problems in chemistry, engineering,
medicine, or biology?
- What did you learn from participation in this exercise? What
was new to you? What requirements found in performing the exercise
were surprises to you?
- Did the mathematics involved in solving the problems pose a
problem for you? Did this exercise convince you that proficiency in
mathematics is a prerequisite for doing professional work in the
field of your choice? If not, why not?
- How do the problems addressed in this module relate to
medicine, biology, engineering, and chemistry? Can the problems
addressed here be generalized to problems in fields other than
physics? Do the generalizations involve more mathematics than were
necessary here, or less?
- A careful reading of this module implies that notation, the
way one chooses to write stuff, is important in understanding,
especially for mathematical stuff. What do you think of this
implication?