TÜRKÇE
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Information
| Unit | FACULTY OF ENGINEERING |
| TEXTILE ENGINEERING PR. | |
| Code | TLZ101 |
| Name | Math I |
| Term | 2025-2026 Academic Year |
| Semester | 1. 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 |
Doç. Dr. LEYLA BUGAY
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim of this course is to equip the students with the knowledge of basic engineering mathematics and applications of this information to teach the Textile Engineering
Course Content
In this course concept of function, limit, continuity, derivatives, definition of differentials and their geometrical understanding and applications (increasing and decreasing functions, searching the turning points, maximum and minimum points). Introduction of exponential, logarithmic, hyperbolic and inverse trigonometric functions and their derivatives and applications of indefinite integral are described.
Course Precondition
Basic knowledge of mathematics is required.
Resources
Fikri Akdeniz, Yusuf Ünlü, Doğan Dönmez, Analize Giriş Cilt: 1, Nobel Kitabevi, 2018.
Notes
Relevant e-books and internet resources are also available.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Knows the basic knowledge of mathematics. |
| LO02 | Knows the applications of mathematics. |
| LO03 | Learns the methods to solve certain basic problems. |
| LO04 | Knows the relationship between engineering and mathematics. |
| LO05 | Knows the types of functions. |
| LO06 | Knows the term of derivation. |
| LO07 | Finds the derivation of a function. |
| LO08 | Draws the graph of a function. |
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. | 3 |
| 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. | 3 |
| 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. | |
| 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. | 3 |
| 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. | 2 |
| 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. | 3 |
| 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. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to functions | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 2 | Some type of functions | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Introduction to limit | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 4 | Infinite limits and limits in infinite | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Continuity | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 6 | Derivative and some basic derivative rules | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Higher Order Derivatives | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | Reading the related chapter from text , problem solving | Öğretim Yöntemleri: Problem Çözme |
| 9 | Some applications of derivative | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 10 | To draw the graphs of any function | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 11 | Exponential and logarithmic functions | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 12 | Trigonometric functions and their derivatives | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | L'hospital rule and the Taylor's theorem | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 14 | Introduction to indefinite integral | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme, Alıştırma ve Uygulama |
| 15 | Basic rules of integrate | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Term Exams | Reading the related chapter from text book, problem solving | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Reading the related chapter from text , problem solving | Ölçme Yöntemleri: Yazılı Sınav |
Assessment (Exam) Methods and Criteria
| 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 | ||