TYPE OF COURSE UNIT	Elective Course
LEVEL OF COURSE UNIT	Bachelor's Degree
YEAR OF STUDY	-
SEMESTER	-
NUMBER OF ECTS CREDITS ALLOCATED	5
NAME OF LECTURER(S)	Assistant Professor Behzat Bahadır Kentel Assistant Professor Bedi Cenk Balçık
LEARNING OUTCOMES OF THE COURSE UNIT	At the end of this course, the students; 1) Derivation of basic fluid mechanics and aerodynamics formulations 2) Application of derived formulas to the gas dynamics problems 3) Application of gas dynamics formulations to the actual engineering problems 4) Explicating results that were found
MODE OF DELIVERY	Face to face
PRE-REQUISITES OF THE COURSE	No
RECOMMENDED OPTIONAL PROGRAMME COMPONENT	It is suggested that students have previously taken courses on numerical analysis, differential equations, strength of materials, dynamics and heat transfer
COURSE DEFINITION	Aims and basic principles of mathematical modelling. Basic fields of interest: temperature, flow, pressure, velocity, stress, strain. Mathematical models for selected Mechanical Engineering problems selected from different areas of interest. Numerical solution techniques for differential equations. Software for mathematical modelling: pre-processors, solvers and post-processors
COURSE CONTENTS	WEEK TOPICS 1st Week Principles of mathematical modelling, nature of modelling and simulation. 2nd Week Physical models, mathematical models, state variables, system parameters. 3rd Week Classification of mathematical models, experimental data, simulation. 4th Week Mechanistic models, ordinary differential equations (ODE). 5th Week Numerical solution of ODE's. 6th Week System of ODE's, numerical solution techniques. 7th Week Basic concepts on numerical solutions of partial differential equations (PDE). 8th Week Finite difference solution procedures 9th Week Finite element solution procedures 10th Week Finite volume solution procedures 11th Week Numerical solution of heat equation. 12th Week Numerical solution of structural mechanics problems 13th Week Numerical solution of dynamic problems. 14th Week Software for mathematical modelling: pre-processors, solvers and post-processors
RECOMENDED OR REQUIRED READING	(1) Velten, K. Mathematical Modeling and Simulation: Introduction for Scientists and Engineers, Wiley-VCH (2) Basmadjian, D. Mathematical Modeling of Physical Systems: An Introduction. Oxford University Press
PLANNED LEARNING ACTIVITIES AND TEACHING METHODS	Presentation,Lecture,Other
ASSESSMENT METHODS AND CRITERIA	Quantity Percentage(%) Mid-term 1 35 Assignment 2 10 Project 2 10 Attendance 1 5 Total(%) 60 Contribution of In-term Studies to Overall Grade(%) 60 Contribution of Final Examination to Overall Grade(%) 40 Total(%) 100
ECTS WORKLOAD	Activities Number Hours Workload Midterm exam 1 2 2 Preparation for Quiz 3 2 6 Individual or group work 14 3 42 Preparation for Final exam 14 1,5 21 Course hours 14 3 42 Preparation for Midterm exam 7 1,5 10,5 Laboratory (including preparation) Final exam 1 3 3 Homework 2 3 6 Quiz 3 1 3 Total Workload 135,5 Total Workload / 30 4,51 ECTS Credits of the Course 5
LANGUAGE OF INSTRUCTION	Turkish
WORK PLACEMENT(S)	No