PS 122: Mathematical Physics II

Course Number and Title: PS 122 (Mathematical Physics II)
Date Revised: Oct. 8, 2010
Number of Units: 3
Prerequisite: MA 22

Course Description:
This course introduces the concept of linear algebra and differential equations required for upper-level courses. Topics include matrices, matrix operations, orthonormal basis and similarity transformations, spectral decomposition, eigenvalues and eigenfunctions, real vector spaces, first-order and higher-order differential equations, integrating factors, homogeneous and nonhomogeneous equations, series solutions, power series, differential operations, and the Laplace transform.

Arfken, G. and Weber, H. (2005). Mathematical Methods for Physicists (6th ed). USA: Academic Press.
Doran, C. and Lasenby, A. (2003). Geometric Algebra for Physicists. UK: Cambridge University Press.
Fujita, S. and Godoy, S. (2010). Mathematical Physics. Germany: Wiley-VCH.
Gilmore, R. (2008). Lie Groups, Physics, and Geometry: An Introduction for Physicists, Engineers and Chemists. USA: Cambridge University Press.
Gockenbach, M. (2010). Finite-Dimensional Linear Algebra (Discrete Mathematics and Its Applications). USA: CRC Press.
Kraut, E. (2007). Fundamentals of Mathematical Physics. USA: Dover Publications.
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.
Masujima, M. (2009). Applied Mathematical Methods for Theoretical Physics. Germany: Wiley-VCH.
Vaughn, M. (2007). Introduction to Mathematical Physics. Germany: Wiley-VCH.

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