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Information
| Unit | FACULTY OF ENGINEERING |
| TEXTILE ENGINEERING PR. | |
| Code | TLZ102 |
| Name | Math II |
| Term | 2025-2026 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 |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. LEYLA BUGAY |
| Course Instructor |
The current term course schedule has not been prepared yet. Previous term groups and teaching staff are shown.
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Course Goal / Objective
The aim of this lesson to teach the knowledge of basic informations and applications of indefine and also define integral.
Course Content
In this course Indefine and Definite integral and its applications, Calculating area and volume, Multiple integrals are described.
Course Precondition
It is necessary to know basic mathematics, limit and derivative rules.
Resources
Fikri Akdeniz, Yusuf Ünlü, Doğan Dönmez, Analize Giriş Cilt: 2, Nobel Kitabevi, 2018.
Notes
Relevant e-resources are available.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Knows the indefinite integral. |
| LO02 | Knows the applications of the indefinite integral. |
| LO03 | alculates the definite integral. |
| LO04 | Calculates the area by using integral. |
| LO05 | Knows the applications of the definite integral. |
| LO06 | Calculates the volume by using integral. |
| LO07 | Calculates the multiple integrals. |
| LO08 | Calculates some special integrals. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Sufficient knowledge in mathematics, natural sciences, and subjects specific to the Textile Engineering discipline; the ability to apply theoretical and practical knowledge in these areas to solve complex engineering problems. | 4 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | The ability to identify, formulate, and solve complex engineering problems in the field of Textile Engineering; and the ability to select and apply appropriate analysis and modeling methods for this purpose. | 2 |
| PLO03 | Beceriler - Bilişsel, Uygulamalı | In Textile Engineering, the ability to design a complex system, process, device, or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | The ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Textile Engineering applications; the ability to effectively use information technologies. | 3 |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | In the field of Textile Engineering, the ability to design experiments, conduct experiments, collect data, analyze and interpret results for the investigation of complex engineering problems or discipline-specific research topics. | |
| PLO06 | Beceriler - Bilişsel, Uygulamalı | Ability to work effectively in interdisciplinary (Textile Engineering) and multidisciplinary teams; independent work skills. | |
| PLO07 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Effective verbal and written communication skills; knowledge of at least one foreign language; ability to write and understand written reports effectively in the field of Textile Engineering, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | 3 |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Awareness of the necessity of lifelong learning; the ability to access information in the field of Textile Engineering, to follow developments in science and technology, and to continuously update oneself. | |
| PLO09 | Yetkinlikler - Alana Özgü Yetkinlik | Adherence to ethical principles, knowledge of professional and ethical responsibilities in the field of Textile Engineering, and standards used in engineering practices. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | In the field of Textile Engineering, knowledge of business practices such as project management, risk management, and change management; awareness of entrepreneurship and innovation; and knowledge of sustainable development. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Knowledge about the universal and societal impacts of Textile Engineering applications on health, environment, and safety, as well as the contemporary challenges facing the field of Textile Engineering; awareness of the legal consequences of Textile Engineering solutions. | 2 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to indefinite integral | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 2 | Basic theorems about indefinite integral | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Integrals of trigonometric functions | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 4 | Integrals of algebraic functions | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 5 | Basic applications of indefinite integrals | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 6 | Basic applications of indefinite integrals-continue | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 7 | Introduction to definite integral | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | Problem solving | Öğretim Yöntemleri: Problem Çözme |
| 9 | Basic theorems about definite integral | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 10 | Self integrals | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 11 | Calculating the area by using integral | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 12 | Calculating the volume by using integral | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Calculating the length by using integral | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 14 | Multiple integrals | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Basic applications of multiple integrals | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Term Exams | Problem solving | Öğretim Yöntemleri: Problem Çözme |
| 17 | Term Exams | Problem solving | Öğretim Yöntemleri: Problem Çözme |
Assessment (Exam) Methods and Criteria
Current term shares have not yet been determined. Shares of the previous term are shown.
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||