Course Information

Semester	Course Unit Code	Course Unit Title	T+P+L	Credit	Number of ECTS Credits
2	ÇEV 164	Mathematics II	4+0+0	4	4

Course Details

Language of Instruction	English
Level of Course Unit	Bachelor's Degree
Department / Program	Environmental Engineering
Mode of Delivery	Face to Face
Type of Course Unit	Elective
Objectives of the Course	To teach the concepts of indefinite and definite integrals, their applications and sequences and series.
Course Content	Concept of indefitine integration, Integration techniques, Definite integral, Fundamental theorems of definite integration, Numerical integration, Improper integrals, Finding area and length of a curve, Evaluating volume and area of surface, Technical applications of integration, Sequences and series and convergence tests
Course Methods and Techniques
Prerequisites and co-requisities	None
Course Coordinator	None
Name of Lecturers	Asist Prof.Dr. Ayşe YILMAZ CEYLAN Instructor Dr. LEVENT KARGIN
Assistants	None
Work Placement(s)	No

Recommended or Required Reading

Resources	Yüksek Matematik I H. Haliov, A. Hasanoğlu, M. Can, Literatür Yayıncılık

	Thomas Kalkülüs, Thomas, Weir, Hass, Pearson Yayınevi.

Course Category

Mathematics and Basic Sciences

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Planned Learning Activities and Teaching Methods

Activities are given in detail in the section of "Assessment Methods and Criteria" and "Workload Calculation"

Assessment Methods and Criteria

ECTS Allocated Based on Student Workload

Activities	Quantity	Duration	Total Work Load
Course Duration	15	4	60
Hours for off-the-c.r.stud	15	6	90
Mid-terms	1	2	2
Final examination	1	2	2
Total Work Load			Number of ECTS Credits 5 154

Course Learning Outcomes: Upon the successful completion of this course, students will be able to:

No	Learning Outcomes
1	Learning indefinite integration and methods of integration
2	Learning upper and lower Rieamnn sums
3	Learning integration techniques and applications of integration
4	Learning improper integration
5	Learning sequences and series and their convergence tests

Weekly Detailed Course Contents

Week	Topics	Study Materials	Materials
1	Introduction for the concepts of the couse	None
2	Concept of indefitine integration	Reading from reference books	Thomas Kalkülüs, Thomas, Weir, Hass, Pearson Yayınevi.
3	Integration techniques	Reading from reference books	Thomas Kalkülüs, Thomas, Weir, Hass, Pearson Yayınevi.
4	Integration techniques	Reading from reference books	Thomas Kalkülüs, Thomas, Weir, Hass, Pearson Yayınevi.
5	Definite integral	Reading from reference books	Thomas Kalkülüs, Thomas, Weir, Hass, Pearson Yayınevi.
6	Fundamental theorems of definite integration	Reading from reference books	Thomas Kalkülüs, Thomas, Weir, Hass, Pearson Yayınevi.
7	Numerical integration	Reading from reference books	Thomas Kalkülüs, Thomas, Weir, Hass, Pearson Yayınevi.
8	Finding area and length of a curve	Reading from reference books	Thomas Kalkülüs, Thomas, Weir, Hass, Pearson Yayınevi.
9	Midterm exam	General repetition
10	Evaluating volume and area of surface	Reading from reference books	Thomas Kalkülüs, Thomas, Weir, Hass, Pearson Yayınevi.
11	Technical applications of integration	Reading from reference books	Thomas Kalkülüs, Thomas, Weir, Hass, Pearson Yayınevi.
12	Improper Integrals	Reading from reference books
13	Improper integrals	Reading from reference books	Thomas Kalkülüs, Thomas, Weir, Hass, Pearson Yayınevi.
14	Sequences and series	Reading from reference books
15	Sequences and series and convergence tests	Reading from reference books	Thomas Kalkülüs, Thomas, Weir, Hass, Pearson Yayınevi.

Contribution of Learning Outcomes to Programme Outcomes

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