TÜRKÇE
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Information
| Code | TLZ102 |
| Name | Math II |
| Term | 2024-2025 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 |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. LEYLA BUGAY |
| Course Instructor |
1 2 |
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
Analysis, Calculus and Basic math books are available.
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 | 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 | 2 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Does process analysis, Identifies problems, interprets and evaluates data in the field of textile engineering | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Selects and uses modern techniques and tools for engineering applications | 2 |
| 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 | |
| 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 | |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Has effective oral and written communication skills. | |
| 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. | 2 |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Has the professional and ethical responsibility. | |
| 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. | 2 |
| PLO16 | Bilgi - Kuramsal, Olgusal | An ability to identify, formulate, and solve complex engineering problems by selecting appropriate analysis and modeling methods. | 3 |
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 |
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 | ||