PS 127: Physical Mathematics II

Course Number and Title: PS 127 (Physical Mathematics II)
Date Revised: Oct. 11, 2010
Number of Units: 3
Prerequisites: MA 22
 

Course Description:
This is a course on matrices and differential equations. Matrix topics include matrix operations, orthonormal basis and similarity transformations, spectral decomposition, eigenvalues and eigenfunctions, real vector spaces and tensors, covariant and contravariant vectors, index raising and lowering, and tensors in electrodynamics. Topics in differential equations include separation of variables in different coordinate systems, first and second-order linear differential equations, Sturm-Liouville theory, and Laplace transforms.
 

Bibliography:
Arfken, G. and Weber,  H. (2005). Mathematical Methods for Physicists (6th ed). USA: Academic Press.
Hassani, S. (2008). Mathematical Methods: For Students of Physics and Related Fields. USA: Springer.
Hassani, S. (2008). Mathematical Analysis: A Modern Introduction to Its Foundations. USA: Springer.
Hubbard, J. and Hubbard, B.B. (2009). Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach (4th ed). USA: Matrix Editions.
Masujima, M. (2009). Applied Mathematical Methods for Theoretical Physics. Germany: Wiley-VCH.
Rainville, E.D. and Bedient, P.E. (1996). Elementary Differential Equations (8th ed). USA: Prentice Hall.
Spiegel, M. (1968). Vector Analysis and an Introduction to Tensor Analysis. USA: McGraw-Hill.
Vaughn, M. (2007). Introduction to Mathematical Physics. Germany: Wiley-VCH.
 

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