` Physics 501



Physics 501: Advanced Classical Mechanics









Week of...

Mon

Wed.

Fri.

Aug. 27

Introduction
Lagrangian mechanics. 13-16, 20 Charged particles handout

Sept. 3

Labor day rigid bodies

Sept. 10

variational calculus
Hamilton's principle. 17-18
constrainted variation. 19

Sept. 17

constrainted variation. 19
small oscillations. 21-23
normal modes

Sept. 24

normal modes
symmetry & 0-freq. modes
(handout)

Oct. 1

modal matrices No Class modal matrics & energy

Oct. 8

chains 24 EXAM #1: 11:00-13:00 AJM 251 chains (cont'd)

Oct. 15

chains (cont'd) continuum limit: strings 25
No Class

Oct. 22

Strings 38, 39
Strings & the Sturm-Lioville equation 40, 41 normal mode expansion

Oct. 29

variational approach
Rayleigh-Ritz method, 41-42
membranes 46, 47

Nov. 5

fluids, 48
sound waves, 49

Nov. 12

Veteran's day
Hamiltonian Mechanics 32, 33

Nov. 19

EXAM #2: 6:00-8:00pm
BARNH 108
class meets as usual @ 11:00am
Thanksgiving

Nov. 26

Hamiltonian Mechanics Adiabatic Invariants (handout)

Dec. 3

Poisson Brackets Hamiltonian mechanics

Dec. 10

Final Exam: Tues. Dec. 11, 4:00-6:00pm, AJM 237 (i.e. usual classroom)
Formula sheet: 1 side of 8.5x11 sheet


Handouts

Interesting resources


Homework


Problem set
Due date
Latex file
notes/comments
Problem Set 1 9/5 tex
Problem Set 2 9/14 tex
Problem Set 3 9/19 tex
only 2 problems
Problem Set 4 9/28 tex
Problem Set 5 10/8 tex
Problem Set 6 10/24 tex
deadline extended
Problem Set 7 11/2 tex
deadline extended
solutions
Problem Set 8 11/16 tex
4 problems - start early
deadline extended to 11/16
Problem Set 9 11/30 tex

Problem Set 10 12/7 tex