Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
170300401201ANALYSIS IICompulsory127
Level of Course Unit
First Cycle
Objectives of the Course
Indefinite integrals, integration methods. Definite integrals, upper and lower Darboux totals and integrals of ladder functions, Riemann integrals, Riemann integrable function classes, fundamental theorems of integral calculus. Calculation of some specific limits by means of definite integral, calculation of area, arc length, volume and area of rotational surfaces as application of specific integrals. Infinite series, convergence and divergence of series, positive term series and convergence criteria, alternating series, absolute and conditional convergence, any term series and Abel partial sum. Convergence of infinite product and giving the relevant criteria.
Name of Lecturer(s)
Dr. Öğr. Üyesi Hasan KARA
Learning Outcomes
1Students who successfully complete this course will have the necessary mathematical background.
Mode of Delivery
Daytime Class
Prerequisites and co-requisities
Analysis I course
Recommended Optional Programme Components
Course Contents
Indefinite integrals, integration methods. Definite integrals, upper and lower Darboux totals and integrals of ladder functions, Riemann integrals, Riemann integrable function classes, fundamental theorems of integral calculus. Calculation of some specific limits by means of definite integral, calculation of area, arc length, volume and area of rotational surfaces as application of specific integrals. Infinite series, convergence and divergence of series, positive term series and convergence criteria, alternating series, absolute and conditional convergence, any term series and Abel partial sum. Convergence of infinite products and related criteria.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Indefinite integrals, integration methods.
2Indefinite integrals, integration methods, variable change, partial integration
3Certain integrals, upper and lower Darboux sums
4integrals of ladder functions
5Riemann integrals
6Integral function classes in Riemann meaning, basic theorems of integral calculus.
7Calculation of some specific limits with the help of definite integral
8Midterm
9Applications of definite integral, Area calculation
10Spring length and volume calculation, rotational surface area calculation
11Infinite series, convergence and divergence of series
12positive term series and convergence criteria, alternating series, absolute and conditional convergence
13Convergence of infinite products and related criteria
14Exercises
15Final Exam
Recommended or Required Reading
Kadıoğlu Ekrem,Kamali Muhammet; Genel Matematik , Atatürk Üni. Erzurum 2016. Binali Musayev, Murat Alp, Nizami Mustafayev; Teori ve çözümlü Problemlerle Analiz I-II, Tek Ağaç Eylül Yay. 2003, Ankara.
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 Examination11.51.5
Final Examination122
Attending Lectures8648
Problem Solving10440
Self Study14456
Individual Study for Mid term Examination7535
Individual Study for Final Examination13339
TOTAL WORKLOAD (hours)221.5
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
LO15555555555
* 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