Advanced Mechanics (PHYS*3400)
Code and section: PHYS*3400*01
Term: Winter 2016
Instructor: Paul Garrett
This course covers Lagrangian mechanics and Hamiltonian mechanics. Topics include least action principles, Poisson brackets, Liouville's theorem, Hamilton-Jacobi theory, the transition to quantum mechanics and introduction to non-linear dynamics.
|Paul Garrett||MacN firstname.lastname@example.org|
Monday, Wednesday, Friday 1:00 pm – 2:00 pm. While I will make every attempt to be in my office for these posted times, my duties as Department Chair will at times preclude my honouring these commitments. I apologize in advance for any inconvenience.
Other times can be arranged via email (email@example.com)
|Monday, Wednesday, Friday||11:30 am – 12:20 pm||MCKN 225|
Final Exam: Thursday, April 21, 7:00 pm – 9:00 pm
- Generalized coordinates
- d’Alembert’s principle and virtual displacements
- Lagrangian formulism
- Constraint forces
- Calculations of variations
- Least action principle
- Hamiltonian mechanics
- Phase space and Liouville’s theorem
- Canonical transformations
- Hamilton-Jacobi theory
- Applications of the action
The lecture notes will be posted on Courselink. In addition, an excellent set of course notes used by Prof. E. Poisson is available. The text from Mechanics I and II, John R. Taylor “Classical Mechanics” will also be very useful.
The following texts are excellent additional references:
- Herbert Goldstein, Charles P. Poole, and John L. Safko, Classical Mechanics (3rd Edition) (Addison Wesley, 2002; ISBN 0201657023; QA 805.G6)
- Walter Greiner, Classical Mechanics: Systems of Particles and Hamiltonian Dynamics (Springer, 2003; ISBN 0-387-95128-8)
- Walter Greiner, Classical Mechanics: Point Particles and Relativity (Springer, 2004; ISBN 0-387-95586-0)
- Harold J W Müller-Kirsten, Classical Mechanics and Relativity (World Scientific, 2008; ISBN-10: 981-283-252-1)
- Cornelius Lanczos, The Variational Principles of Mechanics (4th Edition) (Dover Publications, 1986; ISBN 0486650677; QA 845.L3)
- Keith R. Symon, Mechanics (3'rd Edition) (Addison-Wesley, 1971; ISBN 0-201-07392-7)
|Midterm: Time and location TBD||25%|
There will be 6 assignments for this course that will be handed out and submitted in class. No assignments will be accepted after the posting of the solutions on the course webpage. Submitted assignment solutions must show calculational details, be legible, and written with a logical flow. Marks on assignments will rapidly trend to zero if not presented well.
(Not) Working With Other Students
All work submitted for grading in this course must be each individual student's own work. While students are encouraged to share thoughts and ideas, it is not acceptable to share assignment solutions. The assignments are not group projects. It is important that you do not show your final written solutions to other students.
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When You Cannot Meet a Course Requirement
When you find yourself unable to meet an in-course requirement because of illness or compassionate reasons, please advise the course instructor (or designated person, such as a teaching assistant) in writing, with your name, id#, and e-mail contact. See the undergraduate calendar for information on regulations and procedures for Academic Consideration.
The last date to drop one-semester courses, without academic penalty, is Friday, March 11, 2016. For regulations and procedures for Dropping Courses, see the Undergraduate Calendar.
Copies of out-of-class assignments
Keep paper and/or other reliable back-up copies of all assignments and midterm exam: you may be asked to resubmit work at any time.
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firstname.lastname@example.org or see the website: http://www.uoguelph.ca/csd/
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Recording of Materials
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Course Evaluation Information
The Department of Physics requires student assessment of all courses taught by the Department. These assessments provide essential feedback to faculty on their teaching by identifying both strengths and possible areas of improvement. In addition, annual student assessment of teaching provides part of the information used by the Department Tenure and Promotion Committee in evaluating the faculty member's contribution in the area of teaching.
The Department's teaching evaluation questionnaire invites student response both through numerically quantifiable data, and written student comments. In conformity with University of Guelph Faculty Policy, the Department Tenure and Promotions Committee only considers comments signed by students. Your instructor will see all signed and unsigned comments after final grades are submitted. Written student comments may also be used in support of a nomination for internal and external teaching awards.
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