PAÜ .:. Eğitim Öğretim Bilgi Sistemi

COURSE INFORMATION

Course Code	Course Title	L+P Hour	Semester	ECTS
KMUH 203	MATHEMATICAL MODELLING	3 + 0	6th Semester	3

COURSE DESCRIPTION

Course Level	Bachelor's Degree
Course Type	Compulsory
Course Objective	The resources to teach mathematical model equations.
Course Content	Chemical and formulation of mathematical models of physical processes. Fluid flow, heat and mass transfer and reaction with the solution of problems related models. In this course, the transition from the real problems of mathematical models of systematic approach, open ended problems, and chemical processes applied to the solution of numerical models and analytical purposes of the implementation structure.
Prerequisites	No the prerequisite of lesson.
Corequisite	No the corequisite of lesson.
Mode of Delivery	Face to Face

COURSE LEARNING OUTCOMES

1	Understand the source of the mathematical model equations.
2	Learn the modeling of reactive systems.
3	Learn the example in the industry.

COURSE'S CONTRIBUTION TO PROGRAM

	PO 01	PO 02	PO 03	PO 04	PO 05	PO 06	PO 07	PO 08	PO 09	PO 10	PO 11	PO 12
LO 001	3	4	2	3	1	4	2		3	4	2	1
LO 002	2	5		2	2	4	5	3	4	3	2	2
LO 003	2	4	3	1		3	5	2	3	3	1	2
Sub Total	7	13	5	6	3	11	12	5	10	10	5	5
Contribution	2	4	2	2	1	4	4	2	3	3	2	2

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION

Activities	Quantity	Duration (Hour)	Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)	14	3	42
Hours for off-the-classroom study (Pre-study, practice)	14	1	14
Mid-terms	1	10	10
Final examination	1	12	12
Total Work Load ECTS Credit of the Course			78 3

COURSE DETAILS

Select Year

Course Details

Course Code	Course Title	L+P Hour	Course Code	Language Of Instruction	Course Semester
KMUH 203	MATHEMATICAL MODELLING	3 + 0	1	Turkish	2023-2024 Spring

Course Coordinator	E-Mail	Phone Number	Course Location	Attendance
Prof. Dr. UĞUR YÜCEL	uyucel@pau.edu.tr		FTRYO A0234	%70

Goals		The resources to teach mathematical model equations.
Content		Chemical and formulation of mathematical models of physical processes. Fluid flow, heat and mass transfer and reaction with the solution of problems related models. In this course, the transition from the real problems of mathematical models of systematic approach, open ended problems, and chemical processes applied to the solution of numerical models and analytical purposes of the implementation structure.

Topics

Weeks	Topics
1	Introduction and Motivation, MATLAB-Introduction
2	Linear Algebra (basic concepts, matrix calculations, linear independence, Gauss elimination, matrix inverse)
3	Ill-conditioned matrices, MATLAB-Program control and matrix calculations
4	Least-squares problems, eigenvalue problems, diagonalization, MATLAB-Linear algebraic systems
5	Nonlinear algebraic systems (iterative methods: fixed-point method, Newton-Raphson method), MATLAB: Nonlinear algebraic systems
6	Ordinary Differential Equation (ODE) models
7	ODE systems
8	Linear and nonlinear ODE system stability
9	Numerical differentiation and integration
10	Numerical solution of an ODE
11	Numerical solution of ODE systems, MATLAB-Nonlinear ODEs
12	Boundary value ODEs, MATLAB-Linear ODEs
13	Partial Differential Equation (PDE) models
14	PDE models

Materials

Materials are not specified.

Resources

Resources	Resources Language
1) E. Kreyzig, Advanced Engineering Mathematics, J. Wiley and Sons, 10th edition (2011). 2) Rice, Richard G. and Duong D. Do, Applied Mathematics and Modeling for Chemical Engineers, J. Wiley and Sons, 2nd edition (2012).	English

Course Assessment

Assesment Methods	Percentage (%)	Assesment Methods Title
Final Exam	60	Final Exam
Midterm Exam	40	Midterm Exam

L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes

Prospective Student