TLZ101 Math I

5 ECTS - 3-0 Duration (T+A)- 1. Semester- 3 National Credit

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
The current term course schedule has not been prepared yet. Previous term groups and teaching staff are shown.
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 Has sufficient background in the fields of Mathematics, Science and Textile Engineering 4
PLO02 Bilgi - Kuramsal, Olgusal Uses the knowledge obtained from the basic sciences and engineering in the field of textile engineering 3
PLO03 Bilgi - Kuramsal, Olgusal Does process analysis, Identifies problems, interprets and evaluates data in the field of textile engineering 3
PLO04 Bilgi - Kuramsal, Olgusal Selects and uses modern techniques and tools required for engineering applications under realistic constraints and conditions.
PLO05 Bilgi - Kuramsal, Olgusal Has the skills of designing experiments, data collection, cognitive analysis and interpretation of the results
PLO06 Bilgi - Kuramsal, Olgusal Works effectively and takes responsibility in interdisciplinary and multidisciplinary teams, both individually and as a team member 3
PLO07 Beceriler - Bilişsel, Uygulamalı Searches literature, has access to information, uses databases and other sources of information 3
PLO08 Beceriler - Bilişsel, Uygulamalı Notices the necessity of lifelong learning; follows developments in science and technology and renews self continuosly 2
PLO09 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Has effective oral and written communication skills; writes and understands written reports effectively, prepares design and production reports, makes effective presentations, and gives and receives clear and understandable instructions 3
PLO10 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Follows developments in the field in a foreign language, has good communication skills with colleagues.
PLO11 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Uses information and communication technologies and softwares at a required level
PLO12 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Defines learning requirements in scientific, social, cultural and artistic areas and improves himself/herself accordingly.
PLO13 Yetkinlikler - Öğrenme Yetkinliği Has the professional and ethical responsibility, acting in accordance with ethical principles
PLO14 Yetkinlikler - Öğrenme Yetkinliği Knowledge about the universal and societal effects of engineering practices on health, environment and safety and contemporary issues reflected in the field of engineering; awareness of the legal consequences of engineering solutions.
PLO15 Yetkinlikler - Öğrenme Yetkinliği Knowledge of business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; knowledge of sustainable development.
PLO16 Bilgi - Kuramsal, Olgusal An ability to identify, formulate, and solve complex engineering problems by selecting appropriate analysis and modeling methods. 4


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

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

Update Time: 05.05.2025 09:08