TOROS ÜNİVERSİTESİ
Bilgi Paketi Ders Kataloğu

Course Information

ENGINEERING MATHEMATICS
Code	Semester	Theoretical	Practice	National Credit	ECTS Credit
		Hour / Week
FIM601	Spring	3	0	3	6

Prerequisites and co-requisites
Language of instruction	Turkish
Type	Elective
Level of Course	Master's
Lecturer	PROF.DR. MEHMET ÇAKIROĞLU
Mode of Delivery	Face to Face
Suggested Subject
Professional practise ( internship )	None
Objectives of the Course	• To find and use appropriate analytical methods for solving equations such as linear and non-linear algebraic equations, ordinary differential equations and partial differential equations resulting from modeling of engineering problems. , Writing computer programs to apply these methods or using ready-made package programs, • identifying the differences and causes between the model results and the experimental results and improving their skills in interpreting them.
Contents of the Course	Login; Formulation of engineering problems; Linear equations: matrices and determinants, linear systems, nonlinear equation systems, numerical methods; Ordinary differential equations: first order, second order, higher order differential equations, series solutions of ordinary differential equations, Laplace transformations, ordinary differential equations systems; Numerical methods: initial value problems, boundary value problems; Partial differential equations: methods of characteristics, method of combining variables, method of combining variables; Integral transformation, numerical methods.

Learning Outcomes of Course

#	Learning Outcomes
1	Finding and using appropriate analytical methods to solve equations such as linear and non-linear algebraic equations, ordinary differential and partial differential equations resulting from modeling of engineering problems
2	In cases where numerical methods are needed to solve these equations, finding and applying appropriate numerical methods, writing computer programs to implement these methods or using ready-made program programs,
3	Identify the differences and causes between the model results and the experimental results and improve their skills in interpreting them.
4	Identify the differences and causes between the model results and the experimental results and improve their skills in interpreting them.

Course Syllabus

#	Subjects	Teaching Methods and Technics
1	Definition of Course, What are Differential Equations? Rank and Degree Concepts	lecture
2	Continuation of Ordinary Differential Equations (ADDs) (linearity, initial and boundary value problems). Solution of ADDs: ADDs that can be solved by taking an integral, ADDs that can be divided into variables)	lecture
3	Continuation of Ordinary Differential Equations (ADDs) (linearity, initial and boundary value problems). Solution of ADDs: ADDs that can be solved by taking an integral, ADDs that can be divided into variables)	lecture
4	Resolving ATTs: Homogeneous ADDs, Full ADDs, Bernoulli, Clairaut ADDs	lecture
5	Linear Differential Equations and Engineering Applications,	lecture
6	Mechanical Systems, Applications with Matlab	lecture
7	Mechanical Systems, Applications with Matlab	lecture
8	Co-linear Linear Differential Equations	lecture
9	Co-linear Linear Differential Equations	lecture
10	Eigenvalues ​​and Eigenvectors. Laplace Transformation.	lecture
11	Eigenvalues ​​and Eigenvectors. Laplace Transformation.	lecture
12	Applications of Laplace Transformations in Mechanical Systems and Electrical Circuits,	lecture
13	Applications of Laplace Transformations in Mechanical Systems and Electrical Circuits,	lecture
14	Applications of Laplace Transformation with Matlab	lecture
15	Fourier Series, Fourier Transformation and Integral	lecture
16	Final Exam

Course Syllabus

#	Material / Resources	Information About Resources	Reference / Recommended Resources
1	1. Kreyszig, E., Advanced Engineering Mathematics, Eighth Edition, Wiley and Sons, New York, 1999.
2	2. Wylie, C. R., Barret, L. C., Advanced Engineering Mathematics, Sixth Edition, McGraw Hill, New York, 1995.
3	3. Greenberg, M., Advanced Engineering Mathematics, Second Edition, Prentice Hall, New York, 1998.
4	4. Rice, R. G., Do, D. D., Applied Mathematics and Modeling for Chemical Engineers, John Wiley & Sons, New York, 1995.

Method of Assessment

#	Weight	Work Type	Work Title
1	40%	Mid-Term Exam	Mid-Term Exam
2	60%	Final Exam	Final Exam

Relationship between Learning Outcomes of Course and Program Outcomes

#	Learning Outcomes	Program Outcomes	Method of Assessment
1	Finding and using appropriate analytical methods to solve equations such as linear and non-linear algebraic equations, ordinary differential and partial differential equations resulting from modeling of engineering problems	4	1͵2
2	In cases where numerical methods are needed to solve these equations, finding and applying appropriate numerical methods, writing computer programs to implement these methods or using ready-made program programs,	4	1͵2
3	Identify the differences and causes between the model results and the experimental results and improve their skills in interpreting them.	2	1͵2
4	Identify the differences and causes between the model results and the experimental results and improve their skills in interpreting them.	2	1͵2

PS. The numbers, which are shown in the column Method of Assessment, presents the methods shown in the previous table, titled as Method of Assessment.

Work Load Details

#	Type of Work	Quantity	Time (Hour)	Work Load
1	Course Duration	14	3	42
2	Course Duration Except Class (Preliminary Study, Enhancement)	14	7	98
3	Presentation and Seminar Preparation	0	0	0
4	Web Research, Library and Archival Work	0	0	0
5	Document/Information Listing	0	0	0
6	Workshop	0	0	0
7	Preparation for Midterm Exam	3	2	6
8	Midterm Exam	0	0	0
9	Quiz	0	0	0
10	Homework	0	0	0
11	Midterm Project	0	0	0
12	Midterm Exercise	0	0	0
13	Final Project	0	0	0
14	Final Exercise	0	0	0
15	Preparation for Final Exam	3	1	3
16	Final Exam	1	1	1
				150