This is the first of two basic courses for first year graduate students or qualified undergraduates. Emphasis is on the nature and types of polymers and on methods for studying them. Emphasizes conceptual and theoretical foundations of mathematical programming techniques. Special methods are presented to solve transportation, networks, and multiobjective programming problems. Nonlinear programming methods including both constrained and unconstrained optimization techniques and algorithms will be covered.
Combinatorial analysis is introduced with particular focus on solving integer programming problems.
Most solids are crystalline, that is, they are composed of an aggregate of crystallites, called grains. The structure within these crystallites can be thought of as consisting of an ideal or perfect lattice of atoms into which an assortment of imperfections has been superimposed. This course is intended to acquaint the student with the intrinsic properties, interactions between, and physical consequences of these imperfections or defects. Basics of one, two, and three-dimensional elements. Application to bars, electrical networks, trusses, conduction and convection heat transfer, ideal and viscous flow, electrical current flow, plane stress, plane strain, and elasticity.