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Information
| Code | MAT104 |
| Name | Mathematic II |
| Term | 2022-2023 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 |
Prof. Dr. Halil KIRNAK
(A Group)
(Ins. in Charge)
|
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, determinant and matrices.
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 | Learns functions concepts and function types |
| LO02 | Learns complex numbers and finds their operations |
| LO03 | Learns the definition of trigonometry and applies on coordinate system |
| LO04 | Learns the definions of limit and continuity and applies the rules of taking derivative |
| LO05 | Compares the meaning of the derivative implies speed in physical sense and slopes in geometric sense.Examines the derivative of Trigonometric and Exponential Functions. |
| LO06 | Applies the rules of taking integral |
| LO07 | Learns the definition of matrix, matrix types, properties of matrices and finds matrix operations |
| LO08 | Learns the definiton of determinant and applies to solve equations |
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. | |
| 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 construction management and similar application processes. | |
| 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 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 | The necessity of lifelong learning renew itself to follow developments in science and technology awareness. | 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 | To communicate effectively with Turkish and express themselves. Self-confidence to defend their ideas in front of the community on a given subject and have professional equipment. He also expresses itself in English. | |
| 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, it has the vocational and ethical responsibilities and fulfills the requirements of the learning philosophy. |
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 | Left and Right Limit Concepts, Limits of Polynomial Functions, Limit Graphs | 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 | Definition of Matrix Matrix Types (Zero, Square, Unit) Transpose of a Matrix Matrix Operations Matrix Power | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 14 | Determinant of the matrix Minor (Cofactor) Properties of Determinant | Read the resources related to the course | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 15 | Adjoint Matrix Inverse of a Matrix | 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 | ||