THE UNIVERSITY OF LETHBRIDGE

DEPARTMENT OF PHYSICS

PHYSICS 3800 – METHODS OF THEORETICAL PHYSICS

SPRING 2016

 

Lecture:

Instructor:

Physics 3800 A

Dr. K. J. E. Vos

TR: 09:25 – 10:40

Office: E-882 University Hall

Room UH C-630

Telephone: 403.329.2191

 

Electronic Mail: k.vos@uleth.ca

 

Web page: http://www.uleth.ca/~k.vos/courses/Physics3800

 

http://classes.uleth.ca/

 

 

 

OFFICE HOURS: (If you want to talk biophysics or get assistance or help or advice)

·         Monday: 16:00 – 18:00 in UH E882

·         Tuesday: 16:30 – 18:30 in UH E882

·         Wednesday: 16:00 – 18:00 in UH E882

·         Thursday: 18:00 – 20:00 in UH E882

·         Friday: 17:00 – 19:00 in UH E882

 

COURSE DESCRIPTION:

Mathematical tools essential for advanced-level courses in classical and quantum mechanics. Topics may include: complex analysis, Fourier series and integral transforms, solution of partial differential equations, special and generalized functions, Green's functions, tensors, and group theory.

 

PREREQUISITES:

·         Mathematics 2580 (Calculus IV)

·         Physics 2800 (Methods in Mathematical Physics)

 

TEXT:

·         Mathematical Methods for Physics and Engineering, 3rd edition, by K. F. Riley, M. P. Hobson, and S. J. Bence (required)

·         Student Solution Manual for Mathematical Methods for Physics and Engineering, 3rd edition, by K. F. Riley and M. P. Hobson (optional)

 

REFERENCES:

·         Advanced Mathematical Methods for Scientists and Engineers, by C. M. Bender and S. A. Orszag

·         Mathematical methods for Physicists, by G. B. Arfken and H. J. Weber

·         Mathematical Methods in the Physical Sciences, by M. L. Boas

·         Mathematical Methods of Physics, by J. Mathews and R. L. Walker

·         Mathematical Physics, by E. Butkov

·         Methods of Theoretical Physics, by P. M. Morse and H. Feshbach

 

 

TENTATIVE COURSE OUTLINE:

Week

Topic

Chapters

1 – 4

Complex Analysis

3, 24

5 – 8

Application of Complex Analysis

12, 13, 25

9 – 13

Differential Equations

14 – 17, 20 – 21, 23

?

Special and hypergeometric functions

18

?

Tensors

26

?

Group Theory

28

?

Representation Theory

29

?

Probability & Statistics

30 – 31

?

Calculus of Variations

22

?

Nonlinear Physics & Chaos Theory

??

 

Grade Distribution:

·         Assignments                                  25%

·         Tri-Term I                                      25%

·         Tri-Term II                                    25%

·         Tri-Term III (Final Exam)             25%

 

Assignments: There will be an assignment each week.  The grade for the assignments will be the sum of your marks divided by the sum of the totals.

 

Tri-term I Examination: The exam will be 48 hours in duration starting on FRIDAY, February 5, 2016, and ending on SUNDAY, February 7, 2016 (tentative).  The exam is a take-home.  No early or late tri-term examinations will be given.  For those who miss the tri-term examination with a valid reason, the final examination will increase in worth by the amount of the tri-term examination.

 

Tri-term II Examination: The exam will be 48 hours in duration starting on FRIDAY, March 11, 2016 and ending on SUNDAY, March 13, 2016 or an in-class examination on SATURDAY, March 12, 2016 (tentative).  No early or late tri-term examinations will be given.  For those who miss the tri-term examination with a valid reason, the final examination will increase in worth by the amount of the tri-term examination.  The examination will be cumulative with an emphasis on the second half.

 

Tri-term III (Final) Examination: The exam will be either a 48 hour take-home examination or an in-class examination from 14:00 until 17:00 on Friday, April 22, 2016 (tentative).  The examination will be cumulative with an emphasis on the last third of the course.

 


 

 

FINAL GRADING:

 

MARKS

LETTER GRADE

GRADE POINT VALUE

90.00 – 100

A+

4.0

85.00 – 89.99

A

4.0

80.00 – 84.99

A-

3.7

75.00 – 79.99

B+

3.3

70.00 – 74.99

B

3.0

65.00 – 69.99

B-

2.7

60.00 – 64.99

C+

2.3

55.00 – 59.99

C

2.0

50.00 – 54.99

C-

1.7

45.00 – 49.99

D+

1.3

40.00 – 44.99

D

1.0

00.00 – 39.99

F

0.0