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Course Information

Course Name
Turkish İleri Mühendislik Matematigi
English Advanced Engineering Mathematics
Course Code
PET 519E Credit Lecture
(hour/week)
Recitation
(hour/week)
Laboratory
(hour/week)
Semester -
3 - - -
Course Language English
Course Coordinator İhsan Murat Gök
İhsan Murat Gök
Course Objectives The main objective of this course is to acquaint the PNGE graduate
students with advanced level engineering mathematics so that they
can formulate, apply, and solve the physical problems of interest by
use of both advanced level analytical and numerical methods of
engineering (or applied)
mathematics.
Course Description Mathematical preliminaries (vector/matrix calculus, ordinary and partial differential equations); Mathematical modeling of problems interest to petroleum and natural gas engineering and basic modeling equations (continuity, diffusion, convection and dispersion equations for both single and multi phase flow); Separation of variables for solving 1-D, 2-D and 3-D partial differential equations (PDE's), Fourier and Laplace transformation methods for solving 1-D, 2-D and 3-D PDE's; An introduction to numerical methods (finite differences) for solving 1-D, 2-D and 3-D flow problems; Linear and nonlinear parameter estimation (least squares and least absolute value).
Course Outcomes
Pre-requisite(s)
Required Facilities
Other
Textbook
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