MATH 425 | Course Introduction and Application Information - Department of Mathematics

Course Name

Mathematical Computing and Simulation I

Code	Semester	Theory (hour/week)	Application/Lab (hour/week)	Local Credits	ECTS
MATH 425	Fall/Spring	3	0	3	6

Prerequisites	None
Course Language	English
Course Type	Elective
Course Level	First Cycle
Mode of Delivery	-
Teaching Methods and Techniques of the Course	-
National Occupation Classification	-
Course Coordinator	-
Course Lecturer(s)	Profesör Dr. Beno KURYEL
Assistant(s)	Araş. Gör. Gökçe ÖZALTUN Araş. Gör. Ayşe BELER

Course Objectives

This course aim is to provide the students with the basics of mathematical computing and simulation. Various simulation techniques and numerical methods are discussed in the framework of this course.

Learning Outcomes

The students who succeeded in this course;

will be able to solve numerically different types of linear and non-linear equations.
will be able to solve numerically and analytically (by MATLAB) differential equations.
will be able to find numerically integrals and derivatives.
will be able to draw graphs.
will be able to generate discrete and continuous random variables.
will be able to model different stochastic processes.

Course Description

In this course, the concepts of different computational methods are discussed. Student solve equations numerically and constract plots. As the application to probability theory and statistics, different simulation tethniques are studied.

Course Category	Core Courses
	Major Area Courses
	Supportive Courses	X
	Media and Management Skills Courses
	Transferable Skill Courses

Week	Subjects	Related Preparation	Learning Outcome
1	Matlab: Entering data and simple matrices, matrix elements, statements and variables, functions	“The Student Edition of Matlab” Prentice Hall, Englewood Cliff, NJ, 1995. ISBN: 0131849794 7:26
2	Matlab: Matrix operations	“The Student Edition of Matlab” Prentice Hall, Englewood Cliff, NJ, 1995. ISBN: 0131849794 30:46.
3	Matlab: Data analysis	“The Student Edition of Matlab” Prentice Hall, Englewood Cliff, NJ, 1995. ISBN: 0131849794 47:57.
4	Matlab: Graphing	“The Student Edition of Matlab” Prentice Hall, Englewood Cliff, NJ, 1995. ISBN: 0131849794 77:82.
5	Matlab: Mfiles	“The Student Edition of Matlab” Prentice Hall, Englewood Cliff, NJ, 1995. ISBN: 0131849794 87:99.
6	The use of Matlab in mathematical computing: Various problems	“Numerical Methods” by J.D.Faires, R.Burden, International Thomson Publishing, 4th Edition, 1991. ISBN-13: 978-0534980597 24:46.
7	Numerical methods, solution of equations	“Numerical Methods” by J.D.Faires, R.Burden, International Thomson Publishing, 4th Edition, 1991. ISBN-13: 978-0534980597 47:56.
8	İnterpolation and approximation	“Numerical Methods” by J.D.Faires, R.Burden, International Thomson Publishing, 4th Edition, 1991. ISBN-13: 978-0534980597 58:89.
9	Midterm
10	The concept of simulation	“Simulation” by Sheldon M.Ross, Elsevier, 5th Edition, 2012. ISBN: 9780124158252 15.
11	Generating random numbers	“Simulation” by Sheldon M.Ross, Elsevier, 5th Edition, 2012. ISBN: 9780124158252 41:48.
12	Generating discrete random variables	“Simulation” by Sheldon M.Ross, Elsevier, 5th Edition, 2012. ISBN: 9780124158252 49:66.
13	Generating continuous random variables	“Simulation” by Sheldon M.Ross, Elsevier, 5th Edition, 2012. ISBN: 9780124158252 67:86.
14	Simulation of probabilistic events with Matlab	“Simulation” by Sheldon M.Ross, Elsevier, 5th Edition, 2012. ISBN: 9780124158252 87:110.
15	Semester Review
16	Final Exam

Course Notes/Textbooks

“The Student Edition of Matlab” Prentice Hall, Englewood Cliff, NJ, 1995. ISBN: 0131849794

Suggested Readings/Materials

"Numerical Methods using MATLAB" by J.H. Mathews and K.D. Fink, Pearson Prentice Hall, 4th Edition, 2004. ISBN: 0131911783

“Numerical Methods” by J.D.Faires, R.Burden, International Thomson Publishing, 4th Edition, 1991. ISBN-13: 978-0534980597

“Simulation” by Sheldon M.Ross, Elsevier, 5th Edition, 2012. ISBN: 9780124158252

Semester Activities	Number	Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques	2	20
Portfolio
Homework / Assignments	1	10
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm	1	25
Final Exam	1	45
Total

Weighting of Semester Activities on the Final Grade	4	55
Weighting of End-of-Semester Activities on the Final Grade	1	45
Total

Semester Activities	Number	Duration (Hours)	Workload
Theoretical Course Hours (Including exam week: 16 x total hours)	16	3	48
Laboratory / Application Hours (Including exam week: '.16.' x total hours)	16		0
Study Hours Out of Class	14	3	42
Field Work			0
Quizzes / Studio Critiques	2	10	20
Portfolio			0
Homework / Assignments	1	10	10
Presentation / Jury			0
Project			0
Seminar / Workshop			0
Oral Exam			0
Midterms	1	25	25
Final Exam	1	35	35
		Total	180

#	PC Sub	Program Competencies/Outcomes	* Contribution Level
#	PC Sub	Program Competencies/Outcomes	1	2	3	4	5
1	To be able to have a grasp of basic mathematics, applied mathematics or theories and applications of statistics.		-	-	-	-	X
2	To be able to use advanced theoretical and applied knowledge, interpret and evaluate data, define and analyze problems, develop solutions based on research and proofs by using acquired advanced knowledge and skills within the fields of mathematics or statistics.		-	-	X	-	-
3	To be able to apply mathematics or statistics in real life phenomena with interdisciplinary approach and discover their potentials.		-	-	X	-	-
4	To be able to evaluate the knowledge and skills acquired at an advanced level in the field with a critical approach and develop positive attitude towards lifelong learning.		-	-	-	-	-
5	To be able to share the ideas and solution proposals to problems on issues in the field with professionals, non-professionals.		-	-	-	-	-
6	To be able to take responsibility both as a team member or individual in order to solve unexpected complex problems faced within the implementations in the field, planning and managing activities towards the development of subordinates in the framework of a project.		-	-	-	-	-
7	To be able to use informatics and communication technologies with at least a minimum level of European Computer Driving License Advanced Level software knowledge.		-	-	-	X	-
8	To be able to act in accordance with social, scientific, cultural and ethical values on the stages of gathering, implementation and release of the results of data related to the field.		-	-	-	-	-
9	To be able to possess sufficient consciousness about the issues of universality of social rights, social justice, quality, cultural values and also environmental protection, worker's health and security.		-	-	-	-	-
10	To be able to connect concrete events and transfer solutions, collect data, analyze and interpret results using scientific methods and having a way of abstract thinking.		-	-	-	-	-
11	To be able to collect data in the areas of Mathematics or Statistics and communicate with colleagues in a foreign language.		-	-	-	-	-
12	To be able to speak a second foreign language at a medium level of fluency efficiently.		-	-	-	-	-
13	To be able to relate the knowledge accumulated throughout the human history to their field of expertise.		-	-	-	-	-