MATHEMATICS III PROGRAMME COURSE DESCRIPTION

Code	Name of the Course Unit	Semester	In-Class Hours (T+P)	Credit	ECTS Credit
MTH209	MATHEMATICS III	3	3	3	5

GENERAL INFORMATION
Language of Instruction :	İngilizce
Level of the Course Unit :	LİSANS, TYY: + 6.Düzey, EQF-LLL: 6.Düzey, QF-EHEA: 1.Düzey
Type of the Course :	Zorunlu
Mode of Delivery of the Course Unit	-
Coordinator of the Course Unit	Dr.Öğr.Üyesi PERİ GÜNEŞ
Instructor(s) of the Course Unit	Dr.Öğr.Üyesi MEHMET ARSLAN
Course Prerequisite	No

OBJECTIVES AND CONTENTS
Objectives of the Course Unit:	Engineering Mathematics-III (MA 2001) is a compulsory course to all second year engineering students of the institute in the Semester –III and is a continuation of previous year courses viz. Engineering Mathematics-I (MA1001) and Engineering Mathematics-II (MA1002). This course intends to provide engineering students a coherent and balanced account of major mathematical techniques and tools.
Contents of the Course Unit:	This course intends to provide an overview of analytical and numerical techniques to solve ordinary and partial differential equations, which we apply to solve many engineering problems of mechanical, civil electrical Engineering.

KEY LEARNING OUTCOMES OF THE COURSE UNIT (On successful completion of this course unit, students/learners will or will be able to)

CO1 determine the solution of second and higher order linear differential equation and apply knowledge of LDE to solve the problems in civil, mechanical and electrical engineering CO2 classify, formulate and solve the first order and second order linear, non-linear partial differential equations and apply the knowledge of partial differential equations to solve the problems in civil, mechanical and electrical engineering CO3 find approximate solution of ordinary differential equations of first order and find the convergence and stability of the approximate solutions

WEEKLY COURSE CONTENTS AND STUDY MATERIALS FOR PRELIMINARY & FURTHER STUDY
Week	Preparatory	Topics(Subjects)	Method
1	-	Linear Differential Equations (LDE)	-
2	-	Applications of Linear Differential Equations (LDE)	-
3	-	Partial Differential Equations (PDE)	-
4	-	Applications of Partial Differential Equations	-
5	-	The approximation for the solution of first order Ordinary Differential Equations	-
6	-	Inferences and Conclusions from Data	-
7	-	Polynomials, Rational, and Radical Relationships: Part One	-
8	-	ARA SINAV	-
9	-	Polynomials, Rational, and Radical Relationships: Part Two	-
10	-	Polynomials, Rational, and Radical Relationships: Part Three	-
11	-	Trigonometry of General Triangles and Trigonometric Functions	-
12	-	Mathematical Modeling: Part One	-
13	-	Mathematical Modeling: Part Two	-
14	-	Mathematical Modeling: Part Three	-
15	-	Mathematical Modeling: Part Four	-
16	-	FİNAL	-
17	-	FİNAL	-

SOURCE MATERIALS & RECOMMENDED READING

1. A Text Book of engineering Mathematics (Vol.1 &2) by P.N.Wartikar & J.N.Wartikar, Pune Vidhyarthi Griha Prakashan, Pune. 2. Advanced Engineering Mathematics by Erwin Kreyszig, Willey Eastern Ltd. Mumbai. 3. Engineering Mathematics‐A Tutorial Approach by Ravish R Singh, Mukul Bhatt. 4. Higher Engineering Mathematics by B. S. Grewal, Khanna publication, New Delhi. 5. Advanced Engineering Mathematics by H. K. Dass, S. Chand and Sons. 6. Calculus by G. B. Thomas and R. L. Finney, Addison‐ Wesley, 1996 7. Elements of Partial Differential Equations by I.N. Sneddon

ASSESSMENT
Assessment & Grading of In-Term Activities	Number of Activities	Degree of Contribution (%)	Description

Level of Contribution
0	1	2	3	4	5

KNOWLEDGE
Theoretical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Explains the fundamental engineering concepts of electrical and electronics science and relates them to the groundwork of electrical and electronics science.			2

KNOWLEDGE
Factual
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Uses theoretical and practical knowledge coming from electrical and electronics sciences, to find solutions to engineering problems.			2

SKILLS
Cognitive
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Determines the components and the underlying process of a system and designs an appropriate model related to electrical and electronics under reasonable constraints.			2
2	Designs a model related to electrical and electronics with modern techniques.				3

SKILLS
Practical
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Determines, detects and analyzes the areas of electrical and electronics engineering science applications and develops appropriate solutions.			2
2	Identifies, models and solveselectrical and electronics engineering problems by applying appropriate analytical methods.			2
3	Determines and uses the necessary electrical and electronics engineering technologies in an efficient way for engineering applications.			2

OCCUPATIONAL
Autonomy & Responsibility
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Possess the responsibility and ability to design and conduct experiments for engineering problems by collecting, analyzing and interpreting data.			2
2	Possess the ability to conduct effective individual study.			2
3	Takes responsibility as a team work and contributes in an effective way.				3

OCCUPATIONAL
Learning to Learn
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Monitors the developments in the field of electrical and electronics engineering technologies by means of books, internet and related journals and possess the required knowledge for the management, control, development and security of information technologies.			2
2	Develops positive attitude towards lifelong learning.			2

OCCUPATIONAL
Communication & Social
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Communicates effectively by oral and/or written form and uses at least one foreign language.			2
2	Possess sufficient consciousness about the issues of project management, practical applications and also environmental protection, worker's health and security.			2

OCCUPATIONAL
Occupational and/or Vocational
	Programme Learning Outcomes	Level of Contribution
		0	1	2	3	4	5
1	Possess professional and ethical responsibility and willingness to share it.			2
2	Possess sufficient consciousness about the universality of electrical and electronics engineering solutions and applications and be well aware of the importance of innovation.			2

WORKLOAD & ECTS CREDITS OF THE COURSE UNIT
Workload for Learning & Teaching Activities
Type of the Learning Activites	Learning Activities (# of week)	Duration (hours, h)	Workload (h)
Ders	14	3	42
Derse Ön Hazırlık ve Ders Sonrası Pekiştirme	0	0	0
Arazi Çalışması	0	0	0
Grup Çalışması / Ödevi	0	0	0
Laboratuvar	9	9	81
Okuma	0	0	0
Ödev	0	0	0
Proje Hazırlama	0	0	0
Seminer	0	0	0
Staj	0	0	0
Teknik Gezi	0	0	0
Web Tab. Öğrenme	0	0	0
Uygulama	0	0	0
Yerinde Uygulama	0	0	0
Mesleki Faaliyet	0	0	0
Sosyal Faaliyet	0	0	0
Tez Hazırlama	0	0	0
Alan Çalışması	0	0	0
Rapor Yazma	0	0	0
Final Sınavı	1	1	1
Final Sınavı Hazırlığı	0	0	0
Ara Sınav	1	1	1
Ara Sınav Hazırlığı	0	0	0
Kısa Sınav	0	0	0
Kısa Sınav Hazırlığı	0	0	0
TOPLAM	25	0	125