PHYSICS 227-8

PHYSICS 227-9

Autumn 2007, Winter - Spring 2008

Time and day: 11:30-12:20 MWF

Room: A110

Instructor: Prof. Stephen D. Ellis

Office: B401 (PAB)
Telephone: 5-2396

Email: sdellis@u.washington.edu

Office Hours: Tu 4:30—6 PM

TA: Jong-Wan Lee

Office: B245
Email: jwlee823@u.washington.edu

Mail List for class: phys229a_sp08@u.washington.edu

Text: Classical Mechanics, Tom W.B. Kibble and Frank H. Berkshire, Imperial College Press; (2004)
Note that the text includes solutions to essentially all of the problems at the back of the book. More detailed solutions to the many problems can be found on the class webpage in the Appendix B to the Lectures (see below).

Lectures will include material not included in the text.

See also:
Classical Dynamics, Stephen T. Thornton and Jerry B. Marion, Thomson – Brooks/Cole; 5th edition(2004).

A tentative Syllabus/Calendar (for Phys.229) can be found here.

Homework: There will be weekly HW assignments. The current plan is to make assignments each Friday due the following Friday. Discussing the problems in groups is encouraged, but you must write up your own solutions. Assignments and solutions will be posted on the web. There may be occasional extra credit problems. HW can be turned in up to one week late, or as revised HW, but the score will be discounted by 50%. (Note that this late HW policy does not apply to HW turned in during finals week, or later.)

Midterm Exams: There will be two in-class, one-hour, closed-book midterm exams (see Syllabus/Calendar). The exams will include a summary of the relevant “useful formulae”. Note: There will be no make-up midterm exams

Grades: The two midterm exams and the homework count as three parts of the grade, and the final exam counts as two parts.
The worst of the five will be dropped:
a) If one of the midterms is the worst part (or if one of the midterms is missed), its score will be dropped so that the final exam will count as 50% of the grade, while the better midterm and the homework will each count as 25% of the grade.
b) If your final exam is the worst part, it will count as 25% of the grade, as will each of the midterms and the homework.
c) If your homework grade is the worst of the five, the homework score will be dropped so that the final exam will count as 50% of the grade, while each of the midterms will count as 25% of the grade.

If there are extra credit problems, each will contribute one point to the total score (of ~100 points). Thus 3 extra credit problems are roughly equivalent to one problem set in terms of their contribution to the total score.

You need to take at least one midterm exam plus the final to pass this course.

Computers: Basic use of a computer mathematics program such as Mathematica will be essential for some of the assigned problems. For information on how to access and to use Mathematica look here.

Physics 229 (Spring 2008)

Lectures:

Lecture 1 (3/31/08, 4/2/08) Introduction and review of Newton’s Laws – the Big Picture

Lecture 1 Appendix B (3/31/08) Some worked examples

Lecture 2 (4/4/08, 4/7/08, 4/9/08, 4/11/08) 1-D (Linear) Motion

Lecture 2 Appendix B (4/4/08) Some worked examples

Lecture 3 (4/14/08, 4/16/08) Motion in More D, Lagrangian Techniques

Lecture 3 Appendix B (4/14/08) Some worked examples
Lecture 4 (4/16/08, 4/18/08, 4/21/08) Central Forces, orbits and scattering

Lecture 4 Appendix B (4/16/08) Some worked examples

Lecture 5 (4/23/08, 4/30/08, 5/2/08) Non-Inertial Reference Frames

Lecture 5 Appendix A (4/23/08) Motion in E and B Fields
Lecture 5 Appendix B (4/23/08) Some worked examples

Lecture 6 (5/5/08, 5/7/08, 5/9/08) Potentials

Lecture 6 Appendix B (5/5/08) Some worked examples

Lecture 7 (5/12/08, 5/14/08) The Two-Body Problem

Lecture 7 Appendix B (5/12/08) Some worked examples

Lecture 8 (5/16/08, 5/19/08) The N-Body Problem

Lecture 8 Appendix B (5/19/08) Some worked examples

Lecture 9 (5/21/08. 5/23/08, 5/30/08) Rigid Body Motion

Lecture 9 Appendix B (5/21/08) Some worked examples

Lecture 10 (6/02/08) The methods of Lagrange

Lecture 10 Appendix B (6/2/08) Some worked examples

Lecture 11 (6/04/08) Small Oscillations, Normal Modes and Strings

Lecture 11 Appendix B (6/4/08) Some worked examples

Lecture 12 (6/06/09) Symmetries and Hamiltonians

Homework:

HW I , Solutions (4/11/08)

HW II, Solutions (4/18/08)

HW III, Solutions (4/25/08)

HW IV, Solutions (5/2/08)

HW V, Solutions (5/9/08) (Delay exercise 6.25 to next week)

HW VI, Solutions (Due 5/16/08) (Delay exercise 8:7 until next week)

HW VII, Solutions (5/23/08)

HW VIII, Solutions (5/30/08)

HW IX, Solutions (6/6/08)

Exams:

MidTerm Exam I Monday 4/28/08, Solutions, Results

MidTerm Exam II Wednesday 5/28/08, Solutions, Results

FINAL EXAM Wednesday 6/11/08, Solutions, Results

Physics 228 (Winter 2008)

Lectures:

           Lecture 12 & Lecture 13 (1/7/08) Vector Analysis I & II
                      Lecture 12 Appendix B (11/30/07) Some worked examples
                      Lecture 13 Appendix A (12/3/07) Divergences in Curvilinear Coordinates
                      Lecture 13 Appendix B (12/3/07) Some worked examples
           Lecture 14 (1/9/08, 1/11/08, 1/14/08) Differential Equations
                      Lecture 14 Appendix B (1/9/08) Some worked examples
           Lecture 15 (1/16/08, 1/18/08) Fourier Series Expansion
                      Lecture 15 Appendix B (1/16/08) Some worked examples
           Lecture 16 (1/18/08, 1/23/08, 1/25/08) Fourier Integral Expansion
                      Lecture 16 Appendix B (1/23/08) Some worked examples
           Lecture 17 (1/28/08, 1/30/08, 2/1/08) Analytic Functions and Integrals
                      Lecture 17 Appendix B (1/28/08) Some worked examples
           Lecture 18 (2/4/08, 2/6/08, 2/11/08) Laplace Transforms
                      Lecture 18 Appendix B (2/4/08) Some worked examples
           Lecture 19 (2/13/08, 2/15/08) Green Function Techniques
                      Lecture 19 Appendix B (2/13/08) Some worked examples
           Lecture 20 (2/15/07, 2/20/07) Calculus of Variations and the Methods of Lagrange
                      Lecture 20 Appendix A (2/15/08) Coupled Harmonic Oscillators
                      Lecture 20 Appendix B (2/15/08) Some worked examples
           Lecture 21 (2/22/08, 2/25/08) Legendre Polynomials I
                      Lecture 21 Appendix B (2/20/08)Some worked examples
           Lecture 22 (2/25/08, 2/27/08) Legendre Polynomials II
                      Lecture 22 Appendix B (2/25/08) Some worked examples
           Lecture 23 (2/29/08) Frobenius, Bessel and cylindrical coordinates
                      Lecture 23 Appendix B (2/29/08) Some worked examples
           Lecture 24 (3/3/08) 2^nd Order Partial Differential Equations I (No Time Dependence)
           Lecture 25 (3/7/08, 3/10/08) 2^nd Order Partial Differential Equations II (Time Dependence)
                      Lecture 25 Appendix B (3/7/08) Some worked examples
                      (Mathematica notebook to do animations of the first 2 examples)
                      Lecture 25 Appendix C (3/7/08) Some more worked examples
           Lecture 26 (3/12/08, 3/14/08) Poisson’s Equation – Sources

Homework:

HW I (1/14/08)
HW II (1/18/08)

HW III (1/25/08)

HW IV (2/1/08)

HW V (2/11/08)

HW VI (2/20/08)

HW VII (2/27/08)

HW VIII (3/3/08)

HW IX (3/10/08)

HW X (3/14/08)

Final Exam Wednesday 3/19/08, Solutions, Results

Physics 227 (Autumn 2007)

Lectures:

Lecture 1 (9/26/07) Introduction–The Big Picture
Lecture 2 (9/28/07, 10/1/07) Infinite Series

Lecture 2 Appendix B (10/1/07) Some worked examples
Lecture 3 (10/3/07, 10/5/07, 10/8/07) Power Series

Lecture 3 Appendix B (10/3/07) Some worked examples

Lecture 4 (10/10/07, 10/12/07) Complex Variables I

Lecture 4 Appendix B (10/10/07) Some worked examples
Lecture 5 (10/15/07, 10/17/07, 10/19/07) Complex Variables II (Physics Applications)
Lecture 6 (10/19/07, 10/22/07) Vectors I

Lecture 6 Appendix B (10/19/07) Some worked examples

Lecture 7 (10/24/07, 10/31/07, 11/2/07) Vectors and Matrices II
Lecture 7 Appendix A Dirac Notation

Lecture 7 Appendix B (10/24/07) Some worked examples (Mma nb, pdf)

Lecture 8 (11/5/07, 11/7/07, 11/9/07) Vectors and Matrices III

Lecture 8 Appendix B (11/5/07) Some worked examples

Lecture 9 (11/9/07, 11/14/07, 11/16/07, 11/21/07) Eigen Vectors and Eigen Values – An Example

Lecture 9 Appendix A (11/9/07) Newton and the Pendulum

Lecture 9 Appendix B (11/9/07) Some worked examples

Lecture 10 (11/19/07) Intro to Group Theory

Lecture 10 Appendix B (11/19/07) Some worked examples

Lecture 11 (11/26/07) Partial Differentiation
Lecture 11 Appendix B (11/26/07) Some worked examples

Lecture 12 (11/30/07) Vector Analysis I

Lecture 12 Appendix B (11/30/07) Some worked examples
Lecture 13 (12/3/07, 12/5/07, 12/7/07) Vector Analysis II (Integrations)

Lecture 13 Appendix A (12/3/07) Divergences in Curvilinear Coordinates

Lecture 13 Appendix B (12/3/07) Some worked examples

Lecture 14 (12/7/07 & Next Quarter) Differential Equations
Lecture 14 Appendix B (12/7/07) Some worked examples

Homework:

HW I (10/5/07)

HW II (10/12/07)

HW III (10/19/07)

HW IV (10/29/07)

HW V (11/2/07)

HW VI (11/9/07)

HW VII (11/16/07)

HW VIII (11/26/07)

HW IX (12/3/07)

HW X (12/7/07)

Physics 229 (Spring 2007)

Lectures:

Lecture 1 (3/26/07, 3/28/07, 3/30/07) Introduction and review of Newton’s Laws

Lecture 1 Appendix B (3/28/07) Some worked examples

Lecture 2 (4/2/07, 4/4/07) (1 D) Linear Motion

Lecture 3 (4/6/07, 4/9/07) Motion in More D, Lagrangian Techniques
Lecture 4 (4/11/07, 4/13/07, 4/16/07, 4/18/07) Central Forces, orbits and scattering

Lecture 5 (4/20/07, 4/25/07, 4/27/07) Physics in Accelerating Reference Frames

Lecture 5 Appendix A (4/30/07) Motion in E and B Fields

Lecture 6 (5/2/07, 5/4/07) Potentials

Lecture 7 (5/4/07, 5/7/07) The Two-Body Problem

Lecture 8 (5/7/07, 5/9/07, 5/11/07) The N-Body problem

Lecture 9 (5/14/07, 5/16/07, 5/18/07) Rigid Body Motion

Lecture 10 (5/18/07, 5/21/07) The Methods of Lagrange Revisited

Lecture 11 (5/25/07) Small Oscillations, Normal Modes and Strings

Lecture 12 (5/30/07, 6/1/07) Symmetries and Hamiltonians

HW:

HW I, (4/6/07)

HW II, (4/13/07)

HW III, (4/20/07)

HW IV, (4/27/07)
HW V, (5/4/07)

HW VI, (5/11/07)

HW VII, (5/18/07)

HW VIII, (5/30/07)

HW IX, (6/1/07)