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Information
| Code | FENZ112 |
| Name | General Mathematics II |
| Term | 2024-2025 Academic Year |
| Semester | 2. 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 |
1 2 |
Course Goal / Objective
The aim of this course is to develop mathematical thinking ways through derivative and integral concepts and their applications.
Course Content
Application of derivetions (Extreme Values of Functions, The Mean Value Theorem, Monotonic Functions and the First Derivative Test, Concavity and Curve Sketching, Applied Optimization, ), İntegrals (Techniques of Integration, Applications of Integration, Further Applications of Integration, Definite Integral, arc length, area and volum)
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 applications of the derivative |
| LO02 | Examines derivative applications. |
| LO03 | Draws graphs of functions. Applies the basic theorems of integral calculus |
| LO04 | Explains the integral and its applications |
| LO05 | Explains the fundamental theorems of integral calculus. |
| LO06 | Examines applications of integrals. |
| LO07 | Examines the fundamental theorems of integral calculus. |
| LO08 | Explains methods of integration. |
| LO09 | Examines methods of integration. |
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. | |
| 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. | 3 |
| 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 | Equation of tangent line and Equation of normal line | Relevant chapter in Kadıoğlu and Kamali (2005), Akdeniz , Ünlü and Dönmez (2007) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 2 | Increasing and decreasing functions and Maximum and minimum values of functions | Relevant chapter in Kadıoğlu and Kamali (2005), Akdeniz , Ünlü and Dönmez (2007) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 3 | Concavity and Convexity of Functions | Relevant chapter in Kadıoğlu and Kamali (2005), Akdeniz , Ünlü and Dönmez (2007) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 4 | Some theorems related with differentiable function | Relevant chapter in Kadıoğlu and Kamali (2005), Akdeniz , Ünlü and Dönmez (2007) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 5 | L Hospitals Rule and Indeterminate Forms | Relevant chapter in Kadıoğlu and Kamali (2005), Akdeniz , Ünlü and Dönmez (2007) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 6 | asymptotes | Relevant chapter in Kadıoğlu and Kamali (2005), Akdeniz , Ünlü and Dönmez (2007) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 7 | Graph of functions | Kadıoğlu ve Kamali (2005) de ilgili bölüm Akdeniz , Ünlü ve Dönmez (2007) de ilgili bölüm | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 8 | Mid-Term Exam | preparing exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Some aplications about derivation | KRelevant chapter in Kadıoğlu and Kamali (2005), Akdeniz , Ünlü and Dönmez (2007) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 10 | Differential and its applications | Relevant chapter in Kadıoğlu and Kamali (2005), Akdeniz , Ünlü and Dönmez (2007) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 11 | Indefinite Integrals and Computing Indefinite Integrals, integrations formulas | Relevant chapter in Kadıoğlu and Kamali (2005), Akdeniz , Ünlü and Dönmez (2007) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 12 | Geometric meaning of the indefinite integral | Relevant chapter in Kadıoğlu and Kamali (2005), Akdeniz , Ünlü and Dönmez (2007) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 13 | Substitution Rule for Indefinite Integrals | Relevant chapter in Kadıoğlu and Kamali (2005), Akdeniz , Ünlü and Dönmez (2007) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 14 | partial integration method | Kadıoğlu ve Kamali (2005) de ilgili bölüm Akdeniz , Ünlü ve Dönmez (2007) de ilgili bölüm | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 15 | Integral of rational functions | KaRelevant chapter in Kadıoğlu and Kamali (2005), Akdeniz , Ünlü and Dönmez (2007) | 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 | 16 | 16 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 116 | ||
| Total Workload / 25 (h) | 4,64 | ||
| ECTS | 5 ECTS | ||