Trigonometric

Midterm
Project – Trigonometric

Instructions

For
this assignment, you have to define a problem (the best project would be the
topic you encountered in real life) that involves solving a problem of three
dimensional world. Examples of such problems are estimate of surface area,
perimeter, and volume, approximation of optimal shape or change involved in
such. For instance, finding out of a volume of an octagonal bin with a defined
ratio of height between octagonal bases to the pyramidal cap. Another example
would include an estimation of a surface for an arbitrary shape by
approximating it with triangles. In conjunction with algebra or calculus one
can find an optimal surface, the volume, optimal surface of a three-dimensional
shape etc. If you choose a project please communicate it to me and the
classmates, you may use the suggestions described below.

Tasks
for Trigonometric (TM)

(LR-1) Describe
your topic, provide your data, and cite your source. Label appropriately. (Highly recommended: Post this
information in the Midterm Trigonometric Project discussion as well as in your
completed project. Include
a brief informative description in the title of your posting. Each
student must use a different idea (topic) and different data.)

The idea with the discussion posting is two-fold: (1) To share
your interesting project idea with your classmates, and (2) To give me a chance
to give you a brief thumbs-up or thumbs-down about your proposed topic and
data. Sometimes students get off on the wrong foot or misunderstand the intent
of the project, and your posting provides an opportunity for some feedback.
Remark: Students
may choose similar topics, but must have different data sets.

(LR-2) Plot
the relevant data (if applicable) in two or three dimensional form. Use an
appropriate scale on the horizontal and vertical axes and be sure to label
carefully.

(LR-3) Define
a strategy of reaching the goal (surface, volume) like: subdivision, summation,
solving the triangles converting units. State the equations.

(LR-4) Solve
intermediate steps.

(LR-5) Show
the final result. Show how calculation work.

(LR-7) Write
a brief narrative of a paragraph or two. Summarize your findings and
be sure to mention any aspect that you found particularly important or
interesting. Discuss possible errors and applicability of the general
methodology.

You
may submit all of your project in one document or a combination of documents,
which may consist of word processing documents or spreadsheets or scanned
handwritten work, provided it is clearly labeled where each task can be found.
Be sure to include your name. Projects are graded on the basis of completeness,
correctness, ease in locating all of the checklist items, and strength of the
narrative portions.