University of Hawaii Physics 610  

Analytical Mechanics - Fall Semester 2013

Course Information and Syllabus


Classes: Tuesday and Thursday 0900-1015 in 114 Watanabe Hall, UH Manoa

See schedule below.. 26 August 2013 but will be updated

Prerequisites:  undergraduate upper division mechanics course, or equivalent (see instructor for exceptions).

General Information and Comments:

  1.  Survey of Elementary Principles
  2. Variational Principles and Lagrange’s Equations
  3. The Central Force Problem
  4. The Kinematics of Rigid Body Motion
  5. The Rigid Body Equations of Motion
  6. Oscillations
  7. The Classical Mechanics of the Special Theory of Relativity

Schedule: These dates and some problem numbers may change, but the schedule will remain roughly the same…

 

Month

Date

 Week

Day

Topic in Class

Assign due this Class Day

Aug

26

1

Mon

Introduction     

Read Chapt. 1

28

Wed

Chapter 1

5

30

Fri

7

2

2

Mon

Holiday

Sep

4

Wed

9, 10, 13, 16

6

Fri

17, 18, 20, 23

9

3

Mon

2

Read Chapt. 1;  3

11

Wed

5, 6, 8

13

Fri

11, 12, 24

16

4

Mon

3

Read Chapt. 3

18

Wed

2, 9

20

Fri

12, 17

23

5

Mon

19, 23

25

Wed

28, 29

27

Fri

32, 35

30

6

Mon

4

Read Chapt. 4, 4.6, 4.10

Oct

2

Wed

4.13, 21

4

Fri

4.22, 23

7

7

Mon

5

Read Ch.5, 5.5

9

Wed

5.14,20

11

Fri

5.27, 29

14

8

Mon

6

Read Ch. 6

16

Wed

6.3, 4

18

Fri

6.6, 11

21

9

Mon

6.14, 16

23

Wed

7

Read Ch. 7

25

Fri

Intro to CH. 7

28

10

Mon

7.6, 13

30

Wed

7.16, 18

Nov

1

Fri

7.19, 26

4

11

Mon

7.30, 31

6

Wed

Read Ch. 8

8

Fri

8.11

11

12

Mon

Holiday

13

Wed

8.14, 8.16

15

Fri

8.19

18

13

Mon

8.34

20

Wed

8.35

22

Fri

Go over problems

25

14

Mon

Read Ch 9

27

Wed

9.9

29

Fri

Holiday

Dec

1

15

Mon

9.17, 24

3

Wed

9.28, 31

5

Fri

Summarize

8

16

Mon

Reports

10

Wed

Last Class

Reports

Final

 

Student Learning Outcomes-

 

At the successful completion of this course a student is expected to have:

1       explain what are Lagrangian and Hamiltonian formulations of classical dynamics, their underlying assumptions, and their connections to quantum mechanics,

2       derive conserved quantities from symmetries of the system,

3       apply symmetry and relativity principles to restrict the form of the Lagrangian function and Lagrangian density,

4       solve problems similar to the examples and homework given in the course.

5       modest facility with the mathematical methods needed for this level of course

6       mastered Newtonian Mechanics;

7       come to appreciate the importance of oscillations in phenomena, and carry out simple calculations with the simple harmonic oscillator;

8       mastered first level applications in Newtonian gravitation;

9       understood methods in the Calculus of Variations and

10  perhaps most important, have made progress in learning to “think like a physicist’’.

 


teacher: Prof. John G. Learned
   office: 327 Watanabe Hall, UHM
   office phone: (808)-956-2964
   email: jgl  at phys.hawaii.edu
   office hours: after class, until lunch time, and other times by appointment.

 

grader:  Keita Fukushima

    grader email: keitaf@hawaii.edu

 

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