HOMEWORK AND TEST, PROBLEM-SOLUTION GUIDELINES
Problem solutions are expected to meet professional standards.
WHY:
- Adherence to these standards will facilitate the grader’s and the
instructor’s interpretation of your work.
- Neatly written solutions will provide you with important reference
material which you will be able to review easily in the future (for example,
before a test for later work in another class, or even when you work in
industry).
- By clearly outlining each step of your solution every time you solve a
problem, you will eventually recognize a pattern
which will help you tackle other problems.
Each problem solution that is handed in must contain the following
information:
- Problem statement. The original problem
statement must always be included with the solution. The only exception to
this rule will be for exam problems, which are assigned out of your
textbook.
- List of knowns and unknowns. Following the
problem statement, list all the known parameters in symbolic form and the
unknown ones with a question mark next to them.
- Figures / sketches. A sketch or figure of the
system showing all the relevant parameters clearly and accurately. In
addition to the original figure provided by the problem itself, you are
expected to generate your own sketches / figures as necessary to fully and
clearly explain your solution process (for example, free-body diagrams,
integration slices, etc. Label all forces, velocities, flows, etc. Show
coordinate axes.
- Assumptions. State and number all the
necessary assumptions for solving each problem.
- Give all basic laws first in general form.
Then show how any simplifying assumptions you make reduce the law / equation
to a simpler, solvable form.
- Try to carry out all solutions in symbolic form
all the way to the end if possible. Then and only then, plug in any
numerical values and solve for unknown quantities.
- Discuss your solution and especially your
results as necessary.
Presentation format:
- Use new paper and write on one side only.
- Use sharp, soft pencil so that (a) it’s easy to read and (b) you can
easily make corrections when needed.
- Staple all sheets together and don’t fold.
- Clearly write your name on the top of the first page, along with the class
number, date, and a list of all the problems attempted.
- Solve only one problem per page.
- Write every other line.
- Write big.
- Use 1 in margins on both sides.
Problem solutions, which do not conform to these standards, will not receive
full credit and may not even be graded at all, even if your numerical answer is
correct.