# 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.

**Some Recent Syllabi Used:**