Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
404001102006MATHEMATICS IICompulsory125
Level of Course Unit
First Cycle
Objectives of the Course
The aim of this course is to construct a basis of information which student will use in future by giving detailed information about integral, applications of integral and series, and to have students being learned analytical thought.
Name of Lecturer(s)
Prof. Dr. İlkay Karaca, Assoc. Prof. Dr. Nüket Hamal
Learning Outcomes
1Be able to understand the fundemental principal of defined integral
2Be able to understand the relation of cause and effect by definite and undefinite integral
3Be able to use integral in real life applications
4Be able to understand numerical series and their convergence at series
Mode of Delivery
Face to Face
Prerequisites and co-requisities
None
Recommended Optional Programme Components
None
Course Contents
Indefinite integrals and the methods of finding primitive, change of variables , Riemannn integrals and properties, Mean value theorems on integrals, Improper integrals and convergence, Aplications of the definite integrals( area, volume, lengths of curves, area of surface), Series
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Indefinite integrals and the methods of finding primitive
2Method of change of variables at definite integrals
3Rational function integrals
4Trigonometric integrals Partition
5İntegrals of irrational functions, integrals of binomial integrals
6Partition , lower sum and upper sum
7Riemannn integrals and properties
8Midterm exam
9Theorems of integrals
10Area
11Volume,(Quiz)
12Lengths of arc
13Area of surface
14Improper integrals
15Series
16Final
Recommended or Required Reading
TEXTBOOK/RECOMMENDED READING 1. Çoker D., Özer O., Taş K. "Genel Matematik" , Cilt I, (1996) 2. Thomas, G. B. and Finney, R. L., "Calculus and Analytic Geometry", 9th ed., Addison Wesley, (1998) 3. Mustafa Balcı, "Analiz I" Balcı yayınları. 4. J.Steward, Kalculus, TÜBA Yayınları (2007)
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
Term (or Year) Learning ActivitiesQuantityWeight
SUM0
End Of Term (or Year) Learning ActivitiesQuantityWeight
SUM0
SUM0
Language of Instruction
Turkish
Work Placement(s)
None
Workload Calculation
ActivitiesNumberTime (hours)Total Work Load (hours)
Midterm Examination122
Final Examination122
Quiz111
Attending Lectures14456
Individual Study for Homework Problems21020
Individual Study for Mid term Examination12020
Individual Study for Final Examination13535
Individual Study for Quiz11010
TOTAL WORKLOAD (hours)146
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
PO
11
PO
12
PO
13
PO
14
PO
15
PO
16
PO
17
PO
18
PO
19
PO
20
PO
21
PO
22
LO14         3           
LO24         3           
LO34 3   3   3          3
LO44         3           
* Contribution Level : 1 Very low 2 Low 3 Medium 4 High 5 Very High
 
Ege University, Bornova - İzmir / TURKEY • Phone: +90 232 311 10 10 • e-mail: intrec@mail.ege.edu.tr