Course Unit Code | Course Unit Title | Type of Course Unit | Year of Study | Semester | Number of ECTS Credits | 170300401401 | ANALYSIS IV | Compulsory | 2 | 4 | 7 |
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Level of Course Unit |
First Cycle |
Objectives of the Course |
This course aims to give information about double integrals, triple integrals, improper integrals, curvilinear integral, line integrals, surface integrals. |
Name of Lecturer(s) |
Dr. Öğr. Üyesi Hasan KARA |
Learning Outcomes |
1 | Ability to solve double integral | 2 | Ability to solve triple integral | 3 | Ability to understand the curvilinear integral | 4 | Ability to understand the surface integral |
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Mode of Delivery |
Daytime Class |
Prerequisites and co-requisities |
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Recommended Optional Programme Components |
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Course Contents |
Double integrals, Triple Integrals, Multiple improper integrals, Line integrals |
Weekly Detailed Course Contents |
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1 | Double integral | | | 2 | Double integral in polar coordinates | | | 3 | Change of variables in double integral | | | 4 | Volume in double integral | | | 5 | Surface area | | | 6 | Triple integral | | | 7 | Cylindrical coordinates | | | 8 | MIDTERM EXAM | | | 9 | Spherical coordinates | | | 10 | I. type multiple improper integrals | | | 11 | II. type multiple improper integrals | | | 12 | Curvilinear integrals, Fundemental theorem of curvilinear integrals. | | | 13 | Surface integrals | | | 14 | Fundemental theorem of surface integrals | | | 15 | Final Exam | | |
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Recommended or Required Reading |
1. Stewart, J. , “Calculus Early Transcendentals 6e”, Thomson Brooks/ColeAddison Wesley (2008)
2. Stein, S. K. and Barcellos, A., "Calculus and Analytic Geometry", McGraw Hill, (1992)
3. Thomas, G.B., “Thomas’ Calculus”, Addison Wesley (11th edition 2005)
4. Sokolnikoff, I. S., “Advanced Calculus”, McGraw Hill (1939)
5. Adams, R. A. , “Calculus A complete Course”, Addison Wesley Longman (2003) |
Planned Learning Activities and Teaching Methods |
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Assessment Methods and Criteria | |
Midterm Examination | 1 | 100 | SUM | 100 | |
Final Examination | 1 | 100 | SUM | 100 | Term (or Year) Learning Activities | 40 | End Of Term (or Year) Learning Activities | 60 | SUM | 100 |
| Language of Instruction | Turkish | Work Placement(s) | |
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Workload Calculation |
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Midterm Examination | 1 | 1 | 1 |
Final Examination | 1 | 2 | 2 |
Attending Lectures | 14 | 5 | 70 |
Question-Answer | 14 | 4 | 56 |
Individual Study for Mid term Examination | 1 | 40 | 40 |
Individual Study for Final Examination | 1 | 40 | 40 |
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Contribution of Learning Outcomes to Programme Outcomes |
LO1 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | LO2 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | LO3 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | LO4 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 |
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* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High |
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Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476
226 13 14 • e-mail: info@igdir.edu.tr
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