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
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