FENZ117 Mathematics I

5 ECTS - 3-0 Duration (T+A)- 1. Semester- 3 National Credit

Information

Code FENZ117
Name Mathematics I
Term 2024-2025 Academic Year
Semester 1. Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 5 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Prof. Dr. PERİHAN ARTUT
Course Instructor Prof. Dr. ALİ ARSLAN ÖZKURT (A Group) (Ins. in Charge)


Course Goal / Objective

The main objective of this course is the development of mathematical thinking ways, the concept of function, limit and derivate.

Course Content

Limits, The Definition of the Limit, Limit Properties Computing Limit of functions Trigonmetric Functions Limits Infinite, Limits Continuity and the types of Continuity, Derivatives, The Definition of the Derivative, Interpretations of the Derivative Derivatives of Trig Functions Derivatives of Exponential and Logarithm Functions Derivatives of Inverse Trig Functions Derivatives of Hyperbolic Functions,Derivative of special defined functions (Greatest higher functions, absolute value functions, Sign functions), Higher Order Derivatives, Application of derivetions, Increasing and decreasing functions

Course Precondition

none

Resources

Genel Matematik, Ekrem Kadıoğlu, Muhammet Kamali, Genel Matematik, Mustafa Balcı, Analize Giriş, Fikri Akdeniz, Yusuf Ünlü, Doğan Dönmez

Notes

https://library.cu.edu.tr/cu/e-kaynaklar/veritabanlari


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Explains definition of the Limit
LO02 Examines properties of limit.
LO03 Applies rules to calculate limits of functions.
LO04 Explains limits of specially defined functions.
LO05 Explains infinite limit
LO06 Explains continuity and the types of continuity.
LO07 Explains derivatives and rules for derivations
LO08 Examines derivatives of trigonometric and inverse trigonometric functions.
LO09 Examines the derivative of exponential and logarithmic functions, the derivative of hyperbolic and inverse hyperbolic functions.
LO10 Examines the derivative of specially defined functions (integer value function, sign function, integer value function) and higher order derivatives.
LO11 Examines increasing and decreasing functions.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Explains the basic concepts and relationships between concepts in science.
PLO02 Bilgi - Kuramsal, Olgusal Explains the basic concepts of effective classroom management.
PLO03 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Recognizes students´ developmental and learning characteristics and difficulties.
PLO04 Bilgi - Kuramsal, Olgusal Explains programs, strategies, methods and techniques related to the science and technology teaching.
PLO05 Bilgi - Kuramsal, Olgusal Explains application areas of science in everyday life.
PLO06 Bilgi - Kuramsal, Olgusal Offers solutions to problem situations encountered in classroom management.
PLO07 Bilgi - Kuramsal, Olgusal Uses appropriate methods and techniques for the development of students´ critical thinking, creative thinking and problem solving skills. 5
PLO08 Bilgi - Kuramsal, Olgusal Designs materials from the stuff around in accordance with the requirements of science and technology program and students.
PLO09 Bilgi - Kuramsal, Olgusal Queries information in the field of science and technology using scientific methods .
PLO10 Yetkinlikler - Öğrenme Yetkinliği Uses laboratory according to science and technology program in an appropriate and efficient manner.
PLO11 Bilgi - Kuramsal, Olgusal Applies contemporary teaching methods and techniques by which the student can construct their own knowledge.
PLO12 Bilgi - Kuramsal, Olgusal Takes responsibility as an individual and as a team member to solve problems related to the field. 3
PLO13 Beceriler - Bilişsel, Uygulamalı Has life-long learning awareness.
PLO14 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Shares his/her knowledge and skills, problems and solutions that he/she identified by means of oral and written communication with the expert and non-expert people.
PLO15 Bilgi - Kuramsal, Olgusal Uses information and communication technologies effectively.
PLO16 Beceriler - Bilişsel, Uygulamalı Uses English sufficiently to follow developments in science and technology education.s .
PLO17 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Sensitive to the agenda of the world and society events / developments .
PLO18 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği In addition to proffesional development,he/she improves himself/herself consistently for individual development in the scientific, social, cultural and sports areas in line with educational requirements.
PLO19 Bilgi - Kuramsal, Olgusal Has national and international sensibilities expressed in the Fundamental Law of National Education.
PLO20 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Behaves in accordance with democracy, human rights, and social, scientific and proffesional ethical values


Week Plan

Week Topic Preparation Methods
1 Limit: Limits of functions of one variable Kadıoğlu ve Kamali (2005), s...; Akdeniz , Ünlü ve Dönmez (2007), s. ...; Balcı (2000) s. ... Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Tartışma
2 The Definition of the Limit and applications Kadıoğlu ve Kamali (2005), s...; Akdeniz , Ünlü ve Dönmez (2007), s. ...; Balcı (2000) s. ... Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
3 Right-handed limit and left -handed limit Kadıoğlu ve Kamali (2005), s...; Akdeniz , Ünlü ve Dönmez (2007), s. ...; Balcı (2000) s. ... Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
4 Limit theorems and computing limits Kadıoğlu ve Kamali (2005), s...; Akdeniz , Ünlü ve Dönmez (2007), s. ...; Balcı (2000) s. ... Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
5 Ttrigonometrik ve ters trigonometrik fonksiyonların limiti, Kadıoğlu ve Kamali (2005), s...; Akdeniz , Ünlü ve Dönmez (2007), s. ...; Balcı (2000) s. ... Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
6 Limits of exponential and logarithm functions Kadıoğlu ve Kamali (2005), s...; Akdeniz , Ünlü ve Dönmez (2007), s. ...; Balcı (2000) s. ... Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
7 Limits of absolute value function, sign function and greatest integer function Kadıoğlu ve Kamali (2005), s...; Akdeniz , Ünlü ve Dönmez (2007), s. ...; Balcı (2000) s. ... Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
8 Mid-Term Exam Preparing exam Ölçme Yöntemleri:
Yazılı Sınav
9 Continuity, Properties of continuous function, Kadıoğlu ve Kamali (2005), s...; Akdeniz , Ünlü ve Dönmez (2007), s. ...; Balcı (2000) s. ... Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
10 types of continuity. Kadıoğlu ve Kamali (2005), s...; Akdeniz , Ünlü ve Dönmez (2007), s. ...; Balcı (2000) s. ... Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
11 Derivative: Definition of derivative, geometric interpretations of the derivative, differentiation formulas Kadıoğlu ve Kamali (2005), s...; Akdeniz , Ünlü ve Dönmez (2007), s. ...; Balcı (2000) s. ... Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
12 Derivatives of trigonometric functions and inverse trigonometric functions Kadıoğlu ve Kamali (2005), s...; Akdeniz , Ünlü ve Dönmez (2007), s. ...; Balcı (2000) s. ... Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
13 Derivatives of exponential and logarithm functions and derivatives of hyperbolic and inversehyperbolic functions Kadıoğlu ve Kamali (2005), s...; Akdeniz , Ünlü ve Dönmez (2007), s. ...; Balcı (2000) s. ... Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
14 Derivative of special defined functions (Greatest higher functions, e absolute value functions, Sign functions), Higher Order Derivatives Kadıoğlu ve Kamali (2005), s...; Akdeniz , Ünlü ve Dönmez (2007), s. ...; Balcı (2000) s. ... Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
15 Increasing and decreasing functions Kadıoğlu ve Kamali (2005), s...; Akdeniz , Ünlü ve Dönmez (2007), s. ...; Balcı (2000) s. ... Öğretim Yöntemleri:
Anlatım, Soru-Cevap, Problem Çözme
16 Term Exams Preparing exam Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Preparing exam Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 3 42
Out of Class Study (Preliminary Work, Practice) 14 3 42
Assesment Related Works
Homeworks, Projects, Others 2 10 20
Mid-term Exams (Written, Oral, etc.) 1 4 4
Final Exam 1 8 8
Total Workload (Hour) 116
Total Workload / 25 (h) 4,64
ECTS 5 ECTS

Update Time: 10.12.2024 11:11