| PHYS3051 Methods in Theoretical Physics I | |
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This course provides a survey of various analytical techniques commonly used to solve problems in theoretical physics. The following physical problems are used as examples: heat conduction, the vibrating string, waves, electrostatics, and coupled oscillation. Students are advised to take the introductory calculus-based physics courses or their equivalents before taking this course. Prerequisite: permission of the instructor.
Prof. Emily S.C. CHING
Office: Rm G5 (Science Centre), Tel: 39436305, Email: ching@phy.cuhk.edu.hk
Consultation Hours: Friday 5:30 p.m. - 6:30 p.m. or by appointment
LEE Ka Kit
Email: kklee@phy.cuhk.edu.hk
Office: Rm 313 (Science Centre)
Consultation Hours: Thursday 3:30 p.m. - 5:30 p.m.
SIN Chuen Keung
Email: cksin@phy.cuhk.edu.hk
Office: Rm 322 (Science Centre)
Consultation Hours: Wednesday 2:30 p.m. - 4:30 p.m.
WONG Chun Fung
Email: cfwong@phy.cuhk.edu.hk
Office: Rm 315 (Science Centre)
Consultation Hours: Monday 4:30 p.m. - 6:30 p.m.
Monday 9:30 a.m. - 11:15 a.m. (Lady Shaw Bldg LT3)
Wednesday 9:30 a.m. - 11:15 a.m. (Mong Man Wai Bldg 703)
Tuesday 6:30 p.m. - 7:15 p.m. (Mong Man Wai Bldg 706)
Thursday 9:30 a.m. - 10:15 a.m. (Lady Shaw Bldg C5)
Thursday 5:30 p.m. - 6:15 p.m. (Y.C. Liang Hall G03)
Students need to attend only one of the 3 sessions.
Students will work on given problems during exercise class and solutions will be discussed by Teaching Assistants.
S.J. Farlow, Partial Differential Equations for Scientists and Engineers (Wiley 1981) QA377.F37. M.L. Boas, Mathematical Methods in the Physical Sciences (2nd ed., Wiley 1983) QA37.2.B698 1983 G.B. Arfken, Mathematical Methods for Physicists (7th ed., Academic Press, 2012) (electronic resource). R.V. Churchill and J.W. Brown, Fourier Series and Boundary Value Problems (7th ed., McGraw-Hill, 2008) QA404.C6 2008. W.E. Boyce and R.C. DiPrima, Elementary Differential Equations and Boundary Value Problems, (10th ed., Wiley 2012) QA371.B773 2012. S.K. Leon, Linear Algebra with Applications, (7th ed., Pearson 2006) QA184.2.L46 2006. E. Kreyszig, Advanced Engineering Mathematics (9th ed., Wiley, 2006) QA401.K7 2006.
Homework 20% Mid-term Test 30% Final Examination 50%
In the event that face-to-face teaching cannot be resumed before 10 March 2020 and be uninterrupted thereafter, the assessment scheme will be changed to:
Homework 50% Final Examination 50%
Important note: Students who score less than 20% of Mid-term Test and Final Examination combined will receive an F grade, except for cases exempted by the Assessment Panel of the Department of Physics.
Date: March 11, 2020 (Wednesday)
Time: 9:30 a.m. - 11:15 a.m.
Venue: Mong Man Wai Bldg 703
1. Introduction
2. Heat conduction and the diffusion equation
3. Vibrating string and the wave equation
4. Eigenfunction expansion for nonhomogeneous PDEs
5. Laplace transform
6. Fourier series and transform
7. Electrostatics and Laplace's equation
8. Coupled oscillation and systems of linear differential equations
Attention is drawn to University policy and regulations on honesty in academic work, and to the disciplinary guidelines and procedures applicable to breaches of such policy and regulations. Details may be found at
http://www.cuhk.edu.hk/policy/academichonesty/ . Students will be required to submit a signed declaration form (can download form in Download area) when they submit their first Homework.