[shortcut to the homework assignments]
Instructor: Petr
Hořava (email: horava@socrates.berkeley.edu)
Office: 441 Birge (office hours: Thu 10:00 - 12 noon, Thu 1:30-2:30 p.m.;
usually, you can also find me there on Tue, 10:00 -12:00 noon); 50A-5107 LBNL
(usually on Mon, Wed, Fri)
Discussion sections: Tue 1:00 - 2:00 p.m. 4 Evans, Wed 4:00 - 5:00 p.m. 6 Evans
GSI: Nadir Jeevanjee
GSI office location and office hours: Mon 2:30 - 3:30 p.m. in 397 Le Conte,
Wed 5:00 - 7:00 p.m. in 395 Le Conte.
(12/21): The official solution of the final exam has been posted.
(12/21): I am available to discuss the results of the final in my office (441 Birge) today, Tuesday Dec 21, 10am-12:30pm, 1:30pm-2-10pm, 2:30pm-4pm. If you cannot come but you wish to discuss your results, please send me an email.
(12/21): Results of the final: Overall, the results were good, everyone with the exception of two people did better on the final than on the midterm. Here are some facts:
(12/20 midnight): The final exam has been graded, and final grades have been
assigned (but have not been posted at bearfacts yet).
More details about the overall results of the final, and
about the final grading, will appear here within the next 12 hours (see
above).
(12/15): The final exam will be a closed-book, no-electronic-devices, no-notes exam.
(12/5): The list of most important concepts in Chapters 1-9 of [Hand-Finch] has been posted. This list is intended to serve as a useful tool in the preparation for the final exam.
(11/29): The final exam will cover Chapters 1-9 of [Hand-Finch], in a format similar to the midterm exam. The final exam is scheduled to take place on Friday, December 17, 12:30-3:30 p.m., in 390 Hearst Mining.
(11/9): There will be no class on Thursday, November 11 (Veterans' Day).
(11/5, 10:45 p.m.): The official solution to the midterm exam has been posted.
(11/4): Those people who still haven't picked up their graded midterms should do so personally in my office, 441 Birge, either on Tuesday 10-12, 1-2, 3:30-4, or on Thursday, 10-12, 1:30-3 (if these time windows are all impossible for you, please arrange an appointment by email).
(11/4): The overall performace on the midterm exam was relatively very low. It seems that for many students, the problem was in the time pressure they felt, given the number of problems on the midterm. In response to discussions with most students, the breakdown of percentages towards the final grade has been changed, in the following way. Option A stays the same as originally anounced (50% homeworks, 20% midterm, 30% final exam), and Option B will be:
(10/26): In response to popular requests, and as a result of the vote taken today in class, the due date of homework assignment 7 has been moved to Fri, Nov. 5, 5 p.m. The remaining schedule of homeworks and their due dates for the rest of the semester have been posted on the homework webpage.
(10/22): Midterm grades have been posted on bearfacts. Only those students who are potentially failing this class (i.e., grades D or F) have received grades. If you have received a grade and are interested in finishing this course successfully, you should discuss your situation individually with me (and/or Nadir).
Homeworks will be assigned every Thursday (in the form of a pdf file posted on this web site by 12:30 p.m. each Thursday), and will be due in eight days, on Friday by 5pm sharp, in the corresponding box located in the 2nd floor breezeway between Le Conte and Birge Halls, unless stated otherwise. The schedule of the remaining homework assingments and their due dates can be found on the homework assignments webpage. Solutions of homework problems will be posted on the homework webpage very shortly after the due date of the homework, and absolutely no credit will be given to homeworks that are turned in late. Each individual problem of each homework assignment will be graded on the scale of 0-10 points. If you mess up on one homework assignment, don't despair: In the final evaluation of your total score from all homeworks, we will drop one homework assignment with the lowest score.
Office-hours policy: While I am happy to address any general questions you may have during office hours, as a matter of principle I will not discuss the specifics of any of the homework problems before they are due.
Mid-term exam: Will be administered in class on Thursday, October 28. The exam will start at 8:10 a.m., sharp. It will be a closed-book (and no laptop, etc) exam, based on Chapters 1-5 of the textbook. The problems will be of two kinds: Some will resemble the problems that have appeared on Homeworks 1-6, while some will be more conceptual and will ask about issues more directly discussed in the text of (Chapters 1-5 of) [HW]. (In fact, in your preparation for the midterm you should primarily focus on your thorough understanding of the material of Chapters 1-4; any questions related to the material of Ch. 5 will be very elementary, and will not go beyond deriving the Hamiltonian (and the Hamilton equations of motion) from a given Lagrangian, and understanding some simple aspects of the Noether theorem.)
Final grade (Option A):
We will decide on the offical breakdown of percentage versus grade later this semester, and post the official rules in due time.
The primary required text that I will be using for the course is
L.N. Hand and J.D. Finch, "Analytical Mechanics" (Cambridge, 1998)
ISBN: 0 521 57572 9 paperback (0 521 57327 0 hardcover)
J.B. Marion and S.T. Thornton, "Classical Dynamics of Particles and Systems" (4th Edition, Harcourt Brace, 1995)
L.D. Landau and E.M. Lifshitz, "Mechanics" (3rd Edition,
Butterworth-Heinemann, 1981)
R. Abraham and J.E. Marsden, "Foundations of Mechanics" (Benjamin/Cummins,
1978), and
R. Hermann, "Differential Geometry and the Calculus of Variations"
(Academic Pres, 1968).
They are both excellent (although slightly outdated) but I wouldn't recomment
them to people who are not serious about abstract differential geometry.
In addition, if you read French or Russian, there is an excellent little book
about mathematical aspects of Analytic Mechanics,
C. Godbillon, "Geometrie Differentielle et Mecanique Analytique" (Hermann, Paris, 1969).
(This book was also translated in the 1970's into Russian and published by one
of the main Soviet publishing houses in Moscow.)
A really entertaining advanced presentation of mathematical aspects of mechanics can also be found in the modern classic written by Arnold,
V.I. Arnold, "Mathematical Methods of Classical Mechanics" (Springer, 1989).
Of course, this is an English translation of the Russian original, as published
originally by Nauka in Moscow in 1974.
horava@socrates.berkeley.edu