Education Information System

Course Title	Code	Semester	L+U Hour	Credits	ECTS
Engineering Mathematics	BSM208	4. Semester	3 + 0	3.0	4.0

Prerequisites

None

Language of Instruction	Turkish
Course Level	Undergraduate
Course Type
Mode of delivery	Face to face
Course Coordinator
Instructors	Arzu ÖZKOÇ ÖZTÜRK
Assistants
Goals	Teaching knowledge that will form the basis of Engineering Mathematics topics.
Course Content	Vector, right, plane concepts in R ^ 3 and properties of these concepts Limit, continuity, derivative, integral and curvature in vector valued functions Multivariable functions, limit and continuity in multivariable functions Partial derivative, differential and differentiability in multivariable functions Tangent plane and chain rule in multivariable functions Directional derivative and gradient Taylor series expansion in two variant functions Maximum and minimum problems in multivariable functions Double integrals and applications Mass and gravity center in double integrals Mass and gravity center in double integrals Variable change in double integrals, polar coordinates Curvilinear integrals and applications
Learning Outcomes	- Basic knowledge about Engineering Mathematics is acquired. - Multi-variable functions are learned. - The relationship between engineering and Integral is understood.

Week	Topics	Learning Methods
1. Week	Vector, right, plane concepts in R ^ 3 and properties of these concepts	Visual Presentation Verbal Expression
2. Week	Limit, continuity, derivative, integral and curvature in vector valued functions	Verbal Expression Visual Presentation
3. Week	Multivariable functions, limit and continuity in multivariable functions	Visual Presentation Verbal Expression
4. Week	Partial derivative, differential and differentiability in multivariable functions	Visual Presentation Verbal Expression
5. Week	Tangent plane and chain rule in multivariable functions	Verbal Expression Visual Presentation
6. Week	Directional derivative and gradient	Visual Presentation Verbal Expression
7. Week	Taylor series expansion in two variant functions	Visual Presentation Verbal Expression
8. Week	Midterm	Course Hours
9. Week	Maximum and minimum problems in multivariable functions	Verbal Expression Visual Presentation
10. Week	Maximum and minimum problems in multivariable functions	Visual Presentation Verbal Expression
11. Week	Double integrals and applications	Verbal Expression Visual Presentation
12. Week	Mass and gravity center in double integrals	Verbal Expression Visual Presentation
13. Week	Mass and gravity center in double integrals	Verbal Expression Visual Presentation
14. Week	Variable change in double integrals, polar coordinates, Curvilinear integrals and applications	Visual Presentation Verbal Expression

1) A. Tekcan. İleri Analiz. Dora Yayıncılık, 2009. 2) P.V. O’Neil, İleri Mühendislik Matematiği, Nobel Yayınları, 2013. 2) A.I. Khuri. Advanced Calculus with Applications in Statistics, 2nd Edition, Wiley-Interscience, 2002.

Program Requirements	Contribution Level	DK1	DK2	DK3	Measurement Method
PY1	4	4	4	4	40,60
PY2	4	4	4	4	40,60
PY3	5	5	5	5	40,60
PY4	5	5	5	5	40,60
PY5	4	4	4	4	40,60
PY6	3	3	3	3	40,60
PY7	4	4	4	4	40,60
PY8	4	4	4	4	40,60
PY9	4	4	4	4	40,60
PY10	4	4	4	4	40,60
PY11	3	3	3	3	40,60

*DK = Course's Contrubution.

	0	1	2	3	4	5
Course's Level of contribution	None	Very Low	Low	Fair	High	Very High
Method of assessment/evaluation		Written exam	Oral Exams	Assignment/Project	Laboratory work	Presentation/Seminar

Event	Quantity	Duration (Hour)	Total Workload (Hour)
Midterm 1	1	20	20
Final	1	40	40
Classroom Activities	14	3	42
Total Workload			102
ECTS Credit of the Course			25.5 4.0