MEC E 390 - Numerical Methods of Mechanical Engineers

3 units (fi 8)(EITH/SP/SU, 3-0-1)

Application of numerical methods to mechanical engineering problems; topics include sources and definitions of error, root finding, solutions of linear and non-linear systems of equations, regression, interpolaton, numerical integration and differentiation, solution of initial value and boundary value ordinary differential equations. Applications include dynamics, solid mechanics, heat transfer and fluid flow. Prerequisites: MATH 102 and 201.

MEC E 680 - Continuum Mechanics

3 units (fi 6)(EITHER, 3-0-0)

Introduction to cartesian tensor algebra and calculus; analysis of finite deformation and kinematics of motion; transport theorems and balance laws; analysis of stress; continuum thermodynamics, constitutive equations and material symmetry with application to solids and fluids.

MEC E 690 - Analytical Techniques in Engineering

3 units (fi 6)(EITHER, 3-0-0)

Methods of applied mathematics with particular emphasis on the analysis of analytical models arising in engineering science. At least three topics will be covered from the following: well-posedness of mathematical models in engineering science; generalized functions with applications to the solution of initial and boundary value problems; complex variable analysis with applications to partial differential equations; asymptotic analysis; calculus of variations; integral equations with applications; introductory functional analysis with applications.