Course Information
SemesterCourse Unit CodeCourse Unit TitleT+P+LCreditNumber of ECTS CreditsLast Updated Date
2ÇEV 164Mathematics II4+0+04425.12.2022

 
Course Details
Language of Instruction English
Level of Course Unit Bachelor's Degree
Department / Program Environmental Engineering
Type of Program Formal Education
Type of Course Unit Elective
Course Delivery Method Face To Face
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
Documents Thomas Kalkülüs, Thomas, Weir, Hass, Pearson Yayınevi.

Course Category
Mathematics and Basic Sciences %100

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
In-Term Studies Quantity Percentage
Mid-terms 1 % 40
Final examination 1 % 60
Total
2
% 100

 
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:
NoLearning 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
WeekTopicsStudy MaterialsMaterials
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
P1 P2 P3 P4 P5 P6 P7 P8 P9 P10 P11
C1 5 4 3
C2 5 4 3
C3 5 4 3
C4 5 4 3
C5 5 4 3

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