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.
 

Bibliography:
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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