This course discusses some of the analytical and numerical techniques used in solving engineering problems. Most of the topics in this course deal with problems in mathematical physics.
Each topic has analytical and numerical parts. Almost all assignments will involve computer programming. But this course is not only about solving differential equations. One main objective is to understand the physics behind the equations.
Solutions of the 1-D heat equation:
E. Kreyszig |
Advanced Engineering Mathematics |
John Wiley & Sons, Seventh Edition, 1993 |
George B. Arfken, Hans J. Weber, Frank E. Harris |
Mathematical Methods for Physicists |
Academic Press, Seventh Edition, 2012 |
Earl A. Coddington |
An Introduction to Ordinary Differential Equations |
Dover Publications, 1990 |
T. W. Koerner |
Fourier Analysis |
Cambridge University Press, 1988 |
R. V. Churchill |
Fourier Series and Boundary Value Problems |
McGraw Hill, New York, 1941 |
W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery |
Numerical Recipes in C/FORTRAN |
Prentice Hall of India, New Delhi, 1994 |