Spring 2015 not offered
Historically, physics and mathematics are closely related. Physics uses powerful tools developed by mathematicians, while physicists, investigating the actually existing universe, provide mathematicians with new concepts and ideas to explore. This way, many mathematical techniques, and even entire areas of mathematics, developed from the need to solve certain real-life problems posed by physical reality. The purpose of this course is to give you an overview of the powerful array of mathematical tools available for the solution of physical problems. Starting with special functions, we will apply them to the solution of ordinary and partial differential equations. We will encounter Fourier and Laplace transforms and will study the Green's function method for the solution of bound and scattering problems. We will also look into the elements of Group theory and apply it to angular momentum in quantum many-body systems.
||Gen Ed Area Dept:
|Course Format: Lecture||Grading Mode: Graded|
||Prerequisites: MATH222 AND MATH223 AND PHYS313 AND PHYS315 AND PHYS324
||Fulfills a Major Requirement for: (IDEA-MN)
There are many good textbooks related with the topic of the course. Below we give some suggested textbooks:
1)Mathematical Methods for Physicists,
G. B. Arfken and H. J. Weber,
2)Mathematical Methods of Physics,
J. Mathews and R. L. Walker,
(W. A. Benjamin, INC, New York, New York).
3)Complex Variables and Applications,
R. V. Churchill, J. W. Brown and R. F. Verkey,
(New York: McGraw-Hill).
|Examination and Assignments: |
Middle and final exam, weekly exercises
|Additional Requirements and/or Comments: |
Open to qualified juniors and seniors (by permission) as well as to graduate students. PHYS565 has the following prerequisites: PHYS213 (Waves and Oscillations), MATH222 (Multivariable Calculus), MATH223 (Linear Algebra), PHYS313 (Classical Dynamics), PHYS315 (Quantum Mechanics II) and PHYS324 (Electricity and Magnetism).