Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
170300401401ANALYSIS IVCompulsory247
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
1Ability to solve double integral
2Ability to solve triple integral
3Ability to understand the curvilinear integral
4Ability to understand the surface integral
Mode of Delivery
Daytime Class
Prerequisites and co-requisities
Recommended Optional Programme Components
Course Contents
Double integrals, Triple Integrals, Multiple improper integrals, Line integrals
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Double integral
2Double integral in polar coordinates
3Change of variables in double integral
4Volume in double integral
5Surface area
6Triple integral
7Cylindrical coordinates
8MIDTERM EXAM
9Spherical coordinates
10I. type multiple improper integrals
11II. type multiple improper integrals
12Curvilinear integrals, Fundemental theorem of curvilinear integrals.
13Surface integrals
14Fundemental theorem of surface integrals
15Final Exam
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
Assessment Methods and Criteria
Term (or Year) Learning ActivitiesQuantityWeight
Midterm Examination1100
SUM100
End Of Term (or Year) Learning ActivitiesQuantityWeight
Final Examination1100
SUM100
Term (or Year) Learning Activities40
End Of Term (or Year) Learning Activities60
SUM100
Language of Instruction
Turkish
Work Placement(s)
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination111
Final Examination122
Attending Lectures14570
Question-Answer14456
Individual Study for Mid term Examination14040
Individual Study for Final Examination14040
TOTAL WORKLOAD (hours)209
Contribution of Learning Outcomes to Programme Outcomes
PO
1
PO
2
PO
3
PO
4
PO
5
PO
6
PO
7
PO
8
PO
9
PO
10
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LO35555555555
LO45555555555
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
Iğdır University, Iğdır / TURKEY • Tel (pbx): +90 476 226 13 14 • e-mail: info@igdir.edu.tr