PS 125: Numerical Analysis

Course Number and Title: PS 125 (Numerical Analysis)
Date Revised: Oct. 8, 2010
Number of Units: 3
Prerequisites: CE 21, PS 121, PS 122

Course Description:
This is an introduction to numerical analysis needed for computational physics. Topics include approximate functions, approximate solutions to differential equations, systems of equations, issues related to numerical calculations, sources of error in numerical problem solving, curve fitting, numerical integration and differentiation, function approximation, and numerical solutions of nonlinear equations.

Basmajian, D. (2002). Mathematical Modeling of Physical Systems: An Introduction (Engineering and Technology). USA: Oxford University Press.
Burden, R. and Douglas Faires, J. (2010). Numerical Analysis (9th ed). USA: Brooks Cole.
Giordano, N. and Nakanishi, H. (2005). Computational Physics (2nd ed). USA: Benjamin Cummings.
Gould, H., Tobochnik, J., and Christian, W. (2006). An Introduction to Computer Simulation Methods - Applications to Physical Systems (3rd ed). USA: Pearson/Addison Wesley.
Hamming, R. (1987). Numerical Methods for Scientists and Engineers. USA: McGraw-Hill.
Heermann, H. (1990). Computer Simulations Methods in Theoretical Physics. USA: Springer.
Kalos, M. and Whitlock, P. (1986). Monte Carlo Methods. USA: Wiley-Interscience.
Kreyszig, E. (1998). Advanced Engineering Mathematics (8th ed). USA: Wiley.
Matthews, J.H. (1992). Numerical Methods for Mathematics, Science and Engineering. USA: Prentice Hall.
Pang, T. (2006). An Introduction to Computational Physics (2nd ed). USA: Cambridge University Press.
Stoer, J., Bulirsch, R., Bartels, R., and Gautschi, W. (2010). Introduction to Numerical Analysis. USA: Springer.

Some Recent Syllabi Used: