TÜRKÇE
ENGLISH
Information
| Code | TLZ101 |
| Name | Math I |
| Term | 2024-2025 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 |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. LEYLA BUGAY |
| Course Instructor |
Doç. Dr. LEYLA BUGAY
(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
Analysis 1, Calculus, Basic Mathematics Books can be used.
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 | 3 |
| 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 for engineering applications | 3 |
| 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 both individually and as a team member and takes responsibility | 3 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Searches literature, has access to information, uses databases and other sources of information | 3 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Recognizes the need 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. | 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 | 2 |
| 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. | 2 |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Has the necessary awareness on the fields of occupational health and safety, legal side of engineering applications and environmental health. | |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Has required competence in project management, entrepreneurship and innovation. | |
| 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 |
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 | ||