Course Detail
Course Description
Course | Code | Semester | T+P (Hour) | Credit | ECTS |
---|
ANALYSIS II | İM1214936 | Spring Semester | 2+0 | 2 | 6 |
Course Program | Pazartesi 13:30-14:15 Pazartesi 14:30-15:15 |
Prerequisites Courses | |
Recommended Elective Courses | |
Language of Course | Turkish |
Course Level | First Cycle (Bachelor's Degree) |
Course Type | Required |
Course Coordinator | Assist.Prof. Hüseyin KOCAMAN |
Name of Lecturer(s) | Assist.Prof. Hüseyin KOCAMAN |
Assistant(s) | |
Aim | Trigonometric functions, trigonometric correlations, trigonometric equation solutions; complex numbers and properties; Riemann total, specific integral, indeterminate integral, integral retrieval methods, integral applications, non-specific integrals |
Course Content | This course contains; Trigonometric Functions,Trigonometric Relations,Trigonometric Equation Solutions,Complex Numbers and Properties,Cartesian and polar representation of complex numbers,Indefinite Integral, Integrating Derivative Process,Variable Transformation-Partial Integration
, Simple Fracture Separation Method,Riemann Sum - Definite Integral,Applications of Integral - Area Under a Curve,Calculating the space between two curves,Areas and Volumes of Rotational Bodies,Rotation of a Surface around an Axis, Rotation of a surface around a line,Generalized Integrals. |
Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |
| 10, 12, 16, 3, 6, 9 | A |
Learns the basics of indefinite integral. | 10, 12, 16, 3, 6, 9 | A |
Learns indefinite integral calculation methods | 10, 12, 16, 3, 6, 9 | A |
Learns the meaning of definite integral and what it corresponds to geometrically. | 10, 12, 16, 3, 6, 9 | A |
Solves space and volume problems using definite integral properties. | 10, 12, 16, 3, 6, 9 | A |
Learns the properties and calculation methods of generalized integrals. | 10, 12, 16, 3, 6, 9 | A |
Teaching Methods: | 10: Discussion Method, 12: Problem Solving Method, 16: Question - Answer Technique, 3: Problem Baded Learning Model, 6: Experiential Learning, 9: Lecture Method |
Assessment Methods: | A: Traditional Written Exam |
Course Outline
Order | Subjects | Preliminary Work |
---|
1 | Trigonometric Functions | [1], [2], [3] |
2 | Trigonometric Relations | [1], [2], [3] |
3 | Trigonometric Equation Solutions | [1], [2], [3] |
4 | Complex Numbers and Properties | [1], [2], [3] |
5 | Cartesian and polar representation of complex numbers | [1], [2], [3] |
6 | Indefinite Integral, Integrating Derivative Process | [1], [2], [3] |
7 | Variable Transformation-Partial Integration
| [1], [2], [3] |
8 | Simple Fracture Separation Method | [1], [2], [3] |
9 | Riemann Sum - Definite Integral | [1], [2], [3] |
10 | Applications of Integral - Area Under a Curve | [1], [2], [3] |
11 | Calculating the space between two curves | [1], [2], [3] |
12 | Areas and Volumes of Rotational Bodies | [1], [2], [3] |
13 | Rotation of a Surface around an Axis, Rotation of a surface around a line | [1], [2], [3] |
14 | Generalized Integrals | [1], [2], [3] |
Resources |
[1] General Mathematics, Prof. Dr. Ahmet Dernek
[2] General Mathematics, Prof. Dr. Ekrem Kadioglu, Prof. Dr. Muhammet Kamali
[3] Analysis II, Prof. Dr. Mustafa Balci |
Course Contribution to Program Qualifications
Course Contribution to Program Qualifications |
No | Program Qualification | Contribution Level |
1 | 2 | 3 | 4 | 5 |
1 | It verbally refers to the meanings of professional terms and concepts within the scope of primary mathematics teaching.
It verbally refers to the basic concepts, principles and techniques of theories in the field of primary mathematics teaching.
It compares the theories in its field and lists the strengths and weaknesses of each theory verbally.
| | | X | | |
2 | In the field of primary mathematics teaching, he applies the necessary intervention in connection with the education he receives regarding the situations or problems he encounters professionally. | | | | X | |
3 | A problem he faces professionally, he analyzes and solves it based on scientific methods.
He solves a problem he faces professionally on his own.
It makes necessary interventions by distinguishing between situations that are within the scope of their duties and responsibilities from a professional point of view and situations that are not.
| | | X | | |
4 | Follows new developments related to the profession in line with the principle of lifelong learning from a professional point of view. | | | | X | |
5 | In the process of resolving a problem from a professional point of view, he consults with his colleagues when necessary.
When he encounters a problem, he formulates it in writing or verbally.
He has a sense of social responsibility and uses his professional gains to solve problems in his immediate and distant environment.
He speaks at least B1 level English to monitor international professional developments. | | | | X | |
6 | He knows the basic concepts of his profession.
Applies basic skills related to his profession.
It applies measurement and evaluation tools in accordance with its purpose and in line with ethical principles.
In a professional subject, it conducts research by choosing the appropriate research method.
| | | | X | |
Assessment Methods
Contribution Level | Absolute Evaluation |
Rate of Midterm Exam to Success | | 40 |
Rate of Final Exam to Success | | 60 |
Total | | 100 |
ECTS / Workload Table |
Activities | Number of | Duration(Hour) | Total Workload(Hour) |
Course Hours | 1 | 2 | 2 |
Guided Problem Solving | 0 | 0 | 0 |
Resolution of Homework Problems and Submission as a Report | 1 | 2 | 2 |
Term Project | 0 | 0 | 0 |
Presentation of Project / Seminar | 0 | 0 | 0 |
Quiz | 0 | 0 | 0 |
Midterm Exam | 0 | 0 | 0 |
General Exam | 0 | 0 | 0 |
Performance Task, Maintenance Plan | 0 | 0 | 0 |
Total Workload(Hour) | 4 |
Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(4/30) | 0 |
ECTS of the course: 30 hours of work is counted as 1 ECTS credit. |
Detail Informations of the Course
Course Description
Course | Code | Semester | T+P (Hour) | Credit | ECTS |
---|
ANALYSIS II | İM1214936 | Spring Semester | 2+0 | 2 | 6 |
Course Program | Pazartesi 13:30-14:15 Pazartesi 14:30-15:15 |
Prerequisites Courses | |
Recommended Elective Courses | |
Language of Course | Turkish |
Course Level | First Cycle (Bachelor's Degree) |
Course Type | Required |
Course Coordinator | Assist.Prof. Hüseyin KOCAMAN |
Name of Lecturer(s) | Assist.Prof. Hüseyin KOCAMAN |
Assistant(s) | |
Aim | Trigonometric functions, trigonometric correlations, trigonometric equation solutions; complex numbers and properties; Riemann total, specific integral, indeterminate integral, integral retrieval methods, integral applications, non-specific integrals |
Course Content | This course contains; Trigonometric Functions,Trigonometric Relations,Trigonometric Equation Solutions,Complex Numbers and Properties,Cartesian and polar representation of complex numbers,Indefinite Integral, Integrating Derivative Process,Variable Transformation-Partial Integration
, Simple Fracture Separation Method,Riemann Sum - Definite Integral,Applications of Integral - Area Under a Curve,Calculating the space between two curves,Areas and Volumes of Rotational Bodies,Rotation of a Surface around an Axis, Rotation of a surface around a line,Generalized Integrals. |
Dersin Öğrenme Kazanımları | Teaching Methods | Assessment Methods |
| 10, 12, 16, 3, 6, 9 | A |
Learns the basics of indefinite integral. | 10, 12, 16, 3, 6, 9 | A |
Learns indefinite integral calculation methods | 10, 12, 16, 3, 6, 9 | A |
Learns the meaning of definite integral and what it corresponds to geometrically. | 10, 12, 16, 3, 6, 9 | A |
Solves space and volume problems using definite integral properties. | 10, 12, 16, 3, 6, 9 | A |
Learns the properties and calculation methods of generalized integrals. | 10, 12, 16, 3, 6, 9 | A |
Teaching Methods: | 10: Discussion Method, 12: Problem Solving Method, 16: Question - Answer Technique, 3: Problem Baded Learning Model, 6: Experiential Learning, 9: Lecture Method |
Assessment Methods: | A: Traditional Written Exam |
Course Outline
Order | Subjects | Preliminary Work |
---|
1 | Trigonometric Functions | [1], [2], [3] |
2 | Trigonometric Relations | [1], [2], [3] |
3 | Trigonometric Equation Solutions | [1], [2], [3] |
4 | Complex Numbers and Properties | [1], [2], [3] |
5 | Cartesian and polar representation of complex numbers | [1], [2], [3] |
6 | Indefinite Integral, Integrating Derivative Process | [1], [2], [3] |
7 | Variable Transformation-Partial Integration
| [1], [2], [3] |
8 | Simple Fracture Separation Method | [1], [2], [3] |
9 | Riemann Sum - Definite Integral | [1], [2], [3] |
10 | Applications of Integral - Area Under a Curve | [1], [2], [3] |
11 | Calculating the space between two curves | [1], [2], [3] |
12 | Areas and Volumes of Rotational Bodies | [1], [2], [3] |
13 | Rotation of a Surface around an Axis, Rotation of a surface around a line | [1], [2], [3] |
14 | Generalized Integrals | [1], [2], [3] |
Resources |
[1] General Mathematics, Prof. Dr. Ahmet Dernek
[2] General Mathematics, Prof. Dr. Ekrem Kadioglu, Prof. Dr. Muhammet Kamali
[3] Analysis II, Prof. Dr. Mustafa Balci |
Course Contribution to Program Qualifications
Course Contribution to Program Qualifications |
No | Program Qualification | Contribution Level |
1 | 2 | 3 | 4 | 5 |
1 | It verbally refers to the meanings of professional terms and concepts within the scope of primary mathematics teaching.
It verbally refers to the basic concepts, principles and techniques of theories in the field of primary mathematics teaching.
It compares the theories in its field and lists the strengths and weaknesses of each theory verbally.
| | | X | | |
2 | In the field of primary mathematics teaching, he applies the necessary intervention in connection with the education he receives regarding the situations or problems he encounters professionally. | | | | X | |
3 | A problem he faces professionally, he analyzes and solves it based on scientific methods.
He solves a problem he faces professionally on his own.
It makes necessary interventions by distinguishing between situations that are within the scope of their duties and responsibilities from a professional point of view and situations that are not.
| | | X | | |
4 | Follows new developments related to the profession in line with the principle of lifelong learning from a professional point of view. | | | | X | |
5 | In the process of resolving a problem from a professional point of view, he consults with his colleagues when necessary.
When he encounters a problem, he formulates it in writing or verbally.
He has a sense of social responsibility and uses his professional gains to solve problems in his immediate and distant environment.
He speaks at least B1 level English to monitor international professional developments. | | | | X | |
6 | He knows the basic concepts of his profession.
Applies basic skills related to his profession.
It applies measurement and evaluation tools in accordance with its purpose and in line with ethical principles.
In a professional subject, it conducts research by choosing the appropriate research method.
| | | | X | |
Assessment Methods
Contribution Level | Absolute Evaluation |
Rate of Midterm Exam to Success | | 40 |
Rate of Final Exam to Success | | 60 |
Total | | 100 |
Numerical Data
Ekleme Tarihi: 04/10/2023 - 14:59Son Güncelleme Tarihi: 04/10/2023 - 14:59
×- A-Z Programs
- Undergraduate
- Graduate
- Academic Calendar
- Double Major & Minor Programs
- Erasmus
- Prospective Students
- Registration
- Re-Enrolment
- Fees
- Directorate of Registrar’s Office
- FAQ
- Accommodation
- Scholarships
- Lateral and Vertical Transfer
- Summer School
- Preparation
- Transportation