AMT 311 2.0 Applicable Mathematics

Course: AMT 311 2.0 Applicable Mathematics (Compulsory)

Course content:

Hilbert, Banach and Sobolev spaces and particularly useful spaces in PDE theory; Introduction to distribution theory and weak derivatives; Weak form of a PDE and weak solution of a PDE; Galerkin approximation of solution of a PDE; Solve 2D-wave equation in spherical coordinate system; Fundamental solution of Heat equation; Solving Laplace’s equation by means of fundamental solutions; Solution of Transport equation; Introduction to calculus of variation; First variation of Euler-Lagrange equation; Second variation of Euler-Lagrange equation; Systems.

Recommended Readings:

1. 1. Evans,L.R. (2010). Partial Differential Equations (2^nd ed). Graduate studies in Mathematics, American Mathematical Society.
   2. Kreyszig,E. (2006). Advanced Engineering Mathematics (9^th ed). John Willey and Sons, Inc.
   3. Forray,M.W. (1968). Variational Calculus in Science and Engineering. McGraw Hill Book Company.