Teaching:
AME 301:
Dynamics
Fall 2007, MWF, 8-9am and 9-10am
AME 599:
Advanced Dynamics
Spring 2007, Mon/Wed, 10-11:30am
- Course description:
This course will cover topics in Newtonian, Lagrangian and Hamiltonian dynamics with introduction to notions from linear (Euclidean) and differential geometry.
- Requirement:
The requirement is some familiarity with
introductory elements of linear algebra and dynamics.
- Textbook: There is no required textbook for this class
- References:
- E.T. Whittaker [1988], A treatise on the Analytical Dynamics of Particles and Rigid Bodies, 4th Edition, Cambridge University Press.
- V.I. Arnold [1986], Mathematical Methods in Classical Mechanics, 2nd Edition, Springer-Verlag.
- D.T. Greenwood [1977], Classical Dynamics, Dover.
- J.H. Ginsberg [1995], Advanced Engineering Dynamics, 2nd Edition, Cambridge University Press.
- Robinson, C. [1995], Dynamical Systems: Stability, Symbolic Dynamics and Chaos , CRC Press.
- V.I. Arnold [1973], Ordinary Differential Equations, Massachusetts Institute of Technology.
- J.L. Synge and A. Schild [1949], Tensor Calculus, Dover.
- J.E. Marsden, T. Ratiu, R. Abraham [2001], Manifolds, Tensor Analysis and Applications, Springer-Verlag.
- J.E. Marsden, T. Ratiu [2002], Introduction to Mechanics and Symmetry, Springer-Verlag.
- Homework: There will be a total of four to five problem sets, due two weeks from when they are issued.
- Project and Oral Presentation: Students will be required to work individually on research projects.
The projects will be chosen as the semester progresses. A 1-2 pages description of the proposed investigation
should be submitted by February 15. Findings should be written up in a 10-page report (due on April 27 by 5:00pm)
and presented orally to the class at the end of the semester. The schedule of the final presentations will be decided in class.
- Grading: Grades will be based on the following categories:
- Problem Assignments : 35%
- Project: 35%
- Oral Presentation: 15%
- Class participation: 15%
AME 526:
Engineering Analytical Methods
Spring 2006, Tue/Thu, 5-6:30pm