FENZ112 General Mathematics II

5 ECTS - 3-0 Duration (T+A)- 2. Semester- 3 National Credit

Information

Code FENZ112
Name General Mathematics II
Term 2023-2024 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 Prof. Dr. PERİHAN ARTUT (A Group) (Ins. in Charge)


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 The graphs of the functions
LO03 Applies the basic theorems of integral calculus
LO04 Explains the integral and its applications


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

Update Time: 12.05.2023 03:12