Kocaeli University / European Credit Transfer System (ECTS)

Name of Lecturer(s)

Assistant Prof. Dr. Öznur KÜÇÜKSARI

Learning Outcomes of the Course Unit
Program Competencies-Learning Outcomes Relation

Learning Outcomes of the Course Unit

1) Ability to perform numerical solution of ordinary differential equations.
2) Ability to perform numerical solution of partial differential equations.
3) Ability to perform multidimensional unconstrained numerical optimization.
4) Ability to perform multidimensional constrained numerical optimization.
5) Application of numerical methods in a software environment.
6) Application of numerical methods in engineering problems.

Program Competencies-Learning Outcomes Relation

		Program Competencies
		1	2	3	4
Learning Outcomes
	1	High	Low	Low	Middle
	2	High	Low	Low	Middle
	3	High	Low	Low	Middle
	4	High	Low	Low	Middle
	5	High	Middle	Middle	Middle
	6	High	Middle	Middle	Middle

Mode of Delivery

e-course

Prerequisites and Co-Requisites

None

Recommended Optional Programme Components

Course Contents

This course covers Adaptive Runga-Kutta methods in solving ordinary differential equations, stiffness and multi-step methods, boundary value and eigenvalue problems; solution of elliptic, parabolic and hyperbolic equations using Finite Difference Method (FDM), solution of one and two dimensional problems with Finite Element Method (FEM), steepest ascent optimization method, Fletcher-Reeves method, Marquardt method, Quasi-Newton method, generalized reduced gradient (GRG) search method and penalty function method.

Weekly Schedule

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Recommended or Required Reading

1- Chapra, Steven C., and Raymond P. Canale. "Numerical methods for engineers ". Vol. 1221. New York: Mcgraw-hill, 2011.
2- Kaw, Autar K., Egwu K. Kalu, and Duc Nguyen. "Numerical methods with applications ". University of South Florida, 2011.
3- Singh, Harendra, et al., eds. "Advanced Numerical Methods for Differential Equations: Applications in Science and Engineering. " CRC Press, 2021.
4- Rao, Singiresu S. "Engineering optimization: theory and practice. " John Wiley & Sons, 2019.
5- Martins, Joaquim RRA, and Andrew Ning. "Engineering design optimization. " Cambridge University Press, 2021.

Planned Learning Activities and Teaching Methods

1) Lecture
2) Question-Answer
3) Drill and Practice
4) Modelling
5) Simulation
6) Problem Solving
7) Project Based Learning

Assessment Methods and Criteria

Contribution of Semester Studies to Course Grade

40%

		Number	Percentage
Semester Studies	Midterm Examination	1	50%
Semester Studies	Quiz	2	50%

Contribution of Final Examination to Course Grade

60%

Total

100%

Language of Instruction

Turkish

Work Placement(s)

Not Required

Course Unit Title	Course Unit Code	Type of Course Unit	Level of Course Unit	Year of Study	Semester	ECTS Credits
Applied Numerical Methods For Engineers (ue)	MKT528	Elective	Master's degree	1	Fall	8