TLZ102 Math II

5 ECTS - 3-0 Duration (T+A)- 2. Semester- 3 National Credit

Information

Code TLZ102
Name Math II
Term 2023-2024 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 Doç. Dr. LEYLA BUGAY (A Group) (Ins. in Charge)


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 Recognizes indefinite integral and its applications.
LO02 Recognizes definite integral and its applications.
LO03 Recognizes the calculating the area by using integral.
LO04 Recognizes the calculating the volume by using integral.
LO05 Recognize the calculating the multiple 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 5
PLO02 Bilgi - Kuramsal, Olgusal Uses the knowledge obtained from the basic sciences and engineering in the field of textile engineering 5
PLO03 Bilgi - Kuramsal, Olgusal Does process analysis, Identifies problems, interprets and evaluates data in the field of textile engineering 5
PLO04 Bilgi - Kuramsal, Olgusal Selects and uses modern techniques and tools for engineering applications 4
PLO05 Bilgi - Kuramsal, Olgusal Has the skills of designing experiments, data collection, cognitive analysis and interpretation of the results 4
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 3
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. 3
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. 4
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. 5


Week Plan

Week Topic Preparation Methods
1 Introduction to indefinite integral Reading the related chapter from text book Öğretim Yöntemleri:
Anlatım, Problem Çözme
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
4 Integrals of algebraic functions Reading the related chapter from text book Öğretim Yöntemleri:
Anlatım, Problem Çözme
5 Basic applications of indefinite integrals Reading the related chapter from text book Öğretim Yöntemleri:
Anlatım, Problem Çözme
6 Basic applications of indefinite integrals-continue Reading the related chapter from text book Öğretim Yöntemleri:
Anlatım, Problem Çözme
7 Introduction to definite integral Reading the related chapter from text book Öğretim Yöntemleri:
Anlatım, Problem Çözme
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
10 Self integrals Reading the related chapter from text book Öğretim Yöntemleri:
Anlatım, Problem Çözme
11 Calculating the area by using integral Reading the related chapter from text book Öğretim Yöntemleri:
Anlatım, Problem Çözme
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
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

Update Time: 10.05.2023 10:00