TÜRKÇE
ENGLISH
Information
| Code | FENZ109 |
| Name | Mathematics I |
| Term | 2023-2024 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 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 | Explain definition of the Limit |
| LO02 | Explain limit Properties |
| LO03 | Explain computing limit of functions trigonmetric functions, |
| LO04 | Explain limits of absolute value function, sign function and greatest integer function, |
| LO05 | Explain infinite limit |
| LO06 | Explain continuity and the types of continuity. |
| LO07 | Explain definition of derivative, geometric interpretations of the derivative, differentiation formulas |
| LO08 | Derivatives of trigonometric functions and inverse trigonometric functions |
| LO09 | Derivatives of exponential and logarithm functions and derivatives of hyperbolic and inversehyperbolic functions |
| LO10 | Explain derivative of special defined functions (Greatest higher functions, e absolute value functions, Sign functions), Higher Order Derivatives |
| LO11 | Explain 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 | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 4 | 4 |
| Final Exam | 1 | 8 | 8 |
| Total Workload (Hour) | 96 | ||
| Total Workload / 25 (h) | 3,84 | ||
| ECTS | 4 ECTS | ||