Floating point arithmetics, linear systems, nonlinear equations, Eigen value and Eigen vector problems, interpolation and polynomial approximation, basics of iterative methods, numerical methods for ordinary differential equations, numerical optimization, numerical methods for partial differential equations, numerical integration, engineering applications.
Erwin Kreyszig, Advanced Engineering Mathematics, 8th Edition, Wiley. Phillips G.M.M. and Peter J. Taylor, Theory and Applications of Numerical Analysis, 2nd Edition, Elsevier Science & Technology Books. John J. Mathews and Kurtis D. Fink, Numerical Methods using Matlab, 4th Edition, Pearson Prentice Hall. William H Press, Saul A Teukolsky, William T Vetterling and Brain P Flannery, Numerical Recipes in C, 2nd Edition, Cambridge University Press.
S. N. Omkar