Description of Individual Course Units
Course Unit CodeCourse Unit TitleType of Course UnitYear of StudySemesterNumber of ECTS Credits
180300901102MATHEMATICS ICompulsory115
Level of Course Unit
First Cycle
Objectives of the Course
To give basic concepts related to mathematical analysis, to give the concepts of limit, continuity, derivative
Name of Lecturer(s)
Dr. Öğr. Üyesi Hasan KARA
Learning Outcomes
1To gain the basic knowledge required in the analysis branch
Mode of Delivery
Daytime Class
Prerequisites and co-requisities
Recommended Optional Programme Components
Course Contents
Natural numbers, rational numbers, irrational numbers and real number sentences, properties of linear point sentences and completeness axioms, extended real numbers and complex numbers. Arrays, sub-sequences, convergent sequences, lower limit and upper limit, Cauchy sequences. Limit and continuity in functions, trigonometric, exponential, logarithmic and hyperbolic functions, regular continuity, properties of continuous functions. Derivative, general rules in deriving, derivatives of closed and parametric functions, higher order derivatives, geometric and physical meanings of derivative, extremes, theorems related to derivative, ambiguous shapes in limits and differential. Drawing curve in Cartesian and polar coordinates.
Weekly Detailed Course Contents
WeekTheoreticalPracticeLaboratory
1Natural numbers, rational numbers, irrational numbers and real number sentences
2properties of linear point sets and completeness axiom, extended real numbers and complex numbers
3Arrays, subsets
4Convergent sequences, lower limit and upper limit
5Functions, trigonometric, exponential, logarithmic and hyperbolic functions
6Limit and continuity in functions
7Uniform continuity, properties of continuous functions
8Midterm
9General rules of derivative, derivative
10Derivatives of closed and parametric functions, higher order derivatives
11Geometric and physical meanings of derivative
12Extremum, theorems related to the derivative
13Limits of uncertain shapes and differential
14Drawing curve in Cartesian and polar coordinates
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 Lectures14342
Problem Solving10440
Self Study10550
Individual Study for Mid term Examination3515
Individual Study for Final Examination6530
TOTAL WORKLOAD (hours)180.5
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
PO
11
PO
12
PO
13
PO
14
PO
15
LO15   5    5     
* 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