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Information
| Code | MAT104 |
| Name | Mathematic II |
| Term | 2024-2025 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Ön Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Mühendis YUSUF POLAT |
| Course Instructor |
1 2 |
Course Goal / Objective
To create the necessary and adequate mathematical foundation by teaching the subjects in the course efficiently. To understand mathematics subjects in vocational courses better and to use mathematical subjects they learn in their profession.
Course Content
Limit and continuity, derivative, applications of derivative, indefinite integral, methods of integration, properties of definite integral and applications of integral.
Course Precondition
None
Resources
Lecture notes given by the instructor
Notes
Balcı, M.2012. Temel matematik, Balcı yayınları
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains the concept of limit and continuity |
| LO02 | Explains what derivative is. |
| LO03 | Knows simple differentiation rules |
| LO04 | Knows the rules of differentiation of logarithmic and exponential functions. |
| LO05 | Explains the physical and geometric meaning of derivative. |
| LO06 | Applies the rules of taking integral |
| LO07 | Knows definite and multiple integral methods |
| LO08 | Knows area and volume applications in integral |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Yetkinlikler - Öğrenme Yetkinliği | The basic technical issues with basic math and science as having adequate infrastructure, theoretical and practical knowledge in this area is used for solving problems with their profession. | 5 |
| PLO02 | Yetkinlikler - Öğrenme Yetkinliği | Construction technician said that the problem of identifying, defining, formulating and solving skills and methods and techniques for this purpose and has the ability to practice selection. | 2 |
| PLO03 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Select the desired requirements and to meet the specific needs of a system is to apply modern methods in line with the ability to design a part or process. | |
| PLO04 | Yetkinlikler - Alana Özgü Yetkinlik | With the modern techniques and skills necessary to select and use information technology tools and professional package that requires some specialized programs in the effective use of construction applications. | |
| PLO05 | Yetkinlikler - Alana Özgü Yetkinlik | Knows the construction business and application processes and has the ability to analyze the building quantity and cost | |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Basic engineering issues in designing experiments and conducting experiments, analyze experimental results and has the ability to interpret the results arrive. | |
| PLO07 | Yetkinlikler - Öğrenme Yetkinliği | Knows the concepts of quality, standard and standardization, the importance of the standard in the production and service sectors, quality control and control methods in production. Have knowledge about construction site management and processes. the construction site management processes. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Access to information and doing research for this purpose, has the ability to use information sources. | |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Take responsibility as an individual and in multidisciplinary teams has an effective study skills and self-confidence. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | It renews itself by following the developments in science and technology with the awareness of the necessity of career management and lifelong learning. | 2 |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | The formation of ideas, make suggestions, has the development and evaluation skills. | |
| PLO12 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | One has the ability to use Turkish and Professional English well and to communicate effectively. | |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | To understand the effects of engineering solutions and applications at both the global and societal context in width required is knowledge of education and contemporary issues. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | In business life; It has the responsibility of environmental awareness, occupational health and safety and professional ethics. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | What is the limit? Limit taking rules | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 2 | Uncertainty at limits | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 3 | What is derivative? Relationship between derivative and limit | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 4 | Derivative rules | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 5 | Examples over derivative rules | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 6 | Application of Derivatives in different areas of Engineering | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 7 | Differentiation rules for exponential and logarithmic expressions | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 8 | Mid-Term Exam | Preparation for the exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Derivation of Trigonometric Functions | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 10 | Definition and Properties of Integral Definite Integral, Indefinite Integral Partial Integration and Change of Variable | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 11 | Integral of Trigonometric Functions Integral of Exponential Functions | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 12 | Applications of Integral | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 13 | Area calculations in integration | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 14 | Volume calculations in integration | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 15 | Applications on area and volume calculations in integration | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 16 | Term Exams | Preparation for the exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Preparation for the exam | 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 | 7 | 7 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 109 | ||
| Total Workload / 25 (h) | 4,36 | ||
| ECTS | 4 ECTS | ||