Math 104-03

The Mathematics of Powered Flight

Spring 2008

CLASS MEETING TIMES. MWF 11--11:50 Jones 301

OFFICE HOURS. Monday and Wednesday 1 p.m. until 3 p.m. or by appointment. Please feel free to stop by and ask questions any time I am in my office. If I am busy (and it is not my office hours) I may ask you to come by later.

DESCRIPTION. The course has no standard mathematical agenda. We will not study trigonometry, calculus, or any other part of the usual mathematics curriculum. Instead, we will examine some commonly experienced (by pilots and/or passengers) aspects of airplane flight and try to understand them via quantitative tools.

REQUIRED BACKGROUND. This course has no formal prerequisites in mathematics or physics. However, physical concepts will be introduced in order to derive straightforward formulas. Mathematics is the language for these formulas. Concepts from trigonometry, exponential functions, and logarithms will be introduced as needed.

TEXT. Fear of Flying by the Numbers by George T. Rublein. The text is available at your friendly neighborhood bookstore.

HOMEWORK. Homework will be given on roughly a weekly basis. Late homeworks are not accepted except in the case of an unanticipatable absence (e.g. serious illness, death in the family, loss of your favorite DVD etc.).

OTHER REQUIREMENTS. You will need an inexpensive calculator which has the buttons SIN, COS, TAN, LOG, and Y to the x. Fancier calculators are fine, but are of no additional help with regard to this course. You will need a simple protractor, available in the W&M bookstore or any store that sells school supplies. You will need high level navigation maps.

EXAMINATIONS. There will be two exams (tenatively Feb. 27 and April 11) as well as a final exam. The final exam is scheduled for Monday, April 28 from 8:30--11:30 a.m.. All three exams will be "almost closed book", i.e. students may use one (three for the final) 8.5 by 11 inch sheet of notes. Such notes may be on both sides of the paper, but they should be in orginal pen or pencil, not photo-copies. Makeup exams will be considered only in the case of unanticipatable absences. Students who miss an exam for any other reason will receive a grade of zero.

GRADES. Final grades will be based on five values: homework and quiz average, class participation, exam 1, exam 2, and the final exam. Homework average is the total number of points you have received on homeworks as a percent of the total possible. The five percent values will be weighted.

Final grades may be ``curved" (in your favor). If the final grades are not curved then the following scale will apply


TENATIVE COURSE OUTLINE

  1. Ch. 1--Cross Winds (and Appendix 1a: Triangles)
  2. Ch. 2 Roses
  3. Ch. 3 Navigation (and Appendix 3: Instruments)
  4. Ch. 4 Service
  5. Ch. 5 Luggage
  6. Exam 1
  7. Ch. 6 Maps
  8. Ch. 7 Short Paths (Appendix 7a: COMPSYS)
  9. Ch. 8 Falling Bodies
  10. Ch. 9 Pressure (Appendix 9: Instruments)
  11. Ch.10 Magnetism
  12. Exam 2
  13. Ch.11 Projections
  14. Ch.12 Pressure Vessels
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