Aerospace and Mechanical Engineering
AME 30314: Differential Equations, Vibrations and Control I
Instructor:
- Bill Goodwine
Office: 367 Fitzpatrick
Email: goodwine@controls.ame.nd.edu
Office Hours: Tuesday, 8:00-9:30pm
- Dayu Lv, dlv@nd.edu
- Michelle Michalenko, Michelle.M.Michalenko.1@nd.edu
- Chan-Yong Schuele, Chan-Yong.Schuele.1@nd.edu
- Xiutao Shi, Xiutao.Shi.14@nd.edu
- 141 DeBartolo Hall
MWF 11:45-12:35
- The final grade will be based on homework sets and three exams with the following initial distribution:
- Homework (10%)
- Exam 1 (20%): Wednesday, September 24, 2008.
- Exam 2 (20%): Wednesday, November 5, 2008.
- Exam 3 (20%): Wednesday, December3, 2008.
- Final exam (30%): Tuesday, Decmber 16, 2008, 8:00-10:00am
- Guaranteed grades:
- (overall grade > mean + 1.5 stdev) OR (overall grade > 90%): A-
- (overall grade > mean + 0.5 stdev) OR (overall grade > 80%): B-
- (overall grade > mean - 1.0 stdev) OR (overall grade > 70%): C-
- (overall grade > mean - 2.0 stdev) OR (overall grade > 60%): D
- overall grade < mean - 2.0 stdev: F
- Homework sets will be assigned weekly and will be due before the beginning of class on Wednesdays. Late homework will not be accepted without permission from the instructor prior to the time it is due.
- Collaboration on homework assignments in encouraged. Unless otherwise prohibited, you may consult outside reference materials, other students, the TAs, or the instructor. However, all material that is submitted must be the result of your own individual effort and accurately and substantively reflect your understanding of the subject matter at the time of writing.
- Examples of allowed activities include:
- working on homeworks and projects as a group provided every member of the group submits material that is consistent with paragraph 2 above;
- obtaining help debugging computer programs provided that the computer program submitted is consistent with paragraph 2 above; and,
- consulting another person regarding any aspect of a homework assignment provided that what is ultimately submitted is consistent with paragraph 2 above.
- Examples of dishonest activities include:
- unless expressly allowed by the instructor, submitting material that is not entirely the result of your own intellectual effort;
- submitting material that is intentionally misleading such as plots or graphs that were not generated by an accompanying computer code listing, a computer code listing that is purported to be correct that is not or a homework problem that has the correct answer that does not result from the work preceding it;
- submitting material that is copied, wholly or in part, in any form; and,
- any activity not expressly allowed above that violates either the letter or spirit of the University Academic Code of Honor.
- The required text for this course is Engineering Differential Equations: Theory and Applications, by Bill Goodwine.
- A highly recommended reference text for the course is Elementary Differential Equations and Boundary Value Problems by William E. Boyce and Richard C. DiPrima, 8th Edition.
- A recommended reference on vibrations is Mechanical Vibrations by J. P. DenHartog ( $20 ).
- A recommended reference on control theory is Schaum's Outline of Feedback and Control Systems by Joseph Distefano, Ivan J. Williams, Joseph J., III DiStefano an Allen Stubberud. ( $6 ).
This course covers the following broad topics:
- A review of solution methods for first order ordinary differential equations and second order, constant coefficient, linear ordinary differential equations;
- Single degree of freedom oscillations (undamped, damped, unforced and forced);
- A brief introduction to feedback control;
- Numerical methods for differential equations; and,
- Separation of variables for partial differential equations, with emphasis on the wave equation, heat equation and Laplace's equation.