GRADUATE CATALOG - The Petroleum Institute

Graduate Catalog |Graduate Courses in MathematicsMATH 565 NUMERICAL METHODS IIn this first course on Numerical Methods, basic tools for numerically solving linear algebra problems that arise invarious branches of science and engineering are explored. The course covers solution of a linear system of algebraicequations, finding roots of nonlinear equations and a nonlinear system of equations, the linear least squares (curvefitting) problem and eigenvalue problems.Pre-requisites NoneCo-requisites NoneRestrictions None(3 – 0 – 3)MATH 575 MATHEMATICAL MODELING IN ENGINEERINGIn this course, we explore the underlying principles of various mathematical models arising in various branches ofengineering – chemical, electrical, mechanical and petroleum. These principles are used in the approximation andvalidation of a variety of models which include simple mechanical, fluid flow and thermal systems, reaction-diffusionand heat conduction, matter transport in porous media, electromagnetism and elastostatics.Pre-requisites NoneCo-requisites NoneRestrictions None(3 – 0 – 3)Page 97