This course is designed for graduate students majoring in mathematics as well as mathematically inclined graduate engineering students. At the end of this course, the student will:

• learn the fundamental concepts of the theory of the finite element method;
• learn how to formulate and solve second order partial differential equations in one and two spatial dimensions using finite element method;
• learn how to solve time dependent non(linear) problems using finite differences in time and finite element method in space;
• develop proficiency in the applications of the finite element method (modelling, analysis, and interpretation of results) to realistic engineering problems through the use of major commercial general purpose finite element code;
• learn to implement finite element method using MATLAB.