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Information
| Code | MAT105 |
| Name | Mathematics I |
| Term | 2024-2025 Academic Year |
| Semester | 1. 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
It is aimed to gain the necessary competence to understand mathematical concepts and systems and to use them in the field of construction.
Course Content
The concept of algebra, The concept of polynomials and operations with polynomials, The concept of ratio and proportion and their applications, The concept of equations and solutions of first-second-order equations, The concept of inequality, Logarithm, Four operations in number sequences, Arithmetic series, geometric series, Geometric objects, Coordinate systems, Basic trigonometry and trigonometric functions, basic operations in functions, types of functions, Matrix and determinants.
Course Precondition
None
Resources
Lecture notes by Halil Kırnak
Notes
Dönmez, D., Delibalta M. 2009. Mathematics, ADANA Vocational School textbook.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explain algebraic applications in profession. |
| LO02 | To make applications about equations and inequalities. |
| LO03 | Makes applications about numbers (radicals, exponents, logarithmic etc.). |
| LO04 | Knows limit applications with trigonometry |
| LO05 | Knows the concept of matrix, special matrices, matrix properties and performs arithmetic operations on matrices. |
| LO06 | To makes applications about functions, logarithms, absolute values, polynomials and sets. |
| LO07 | Knows the concept of determinant and knows equation solutions |
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. | |
| 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 | Numbers and their operations | Lecture notes | Öğretim Yöntemleri: Anlatım, Tartışma |
| 2 | Exponential numbers | Lecture notes | Öğretim Yöntemleri: Anlatım |
| 3 | Radical numbers | Lecture notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 4 | Ratio and Proportion | Lecture notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Soru-Cevap |
| 5 | polynomials | Lecture notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 6 | Functions | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | First and second grade Equations | Lecture notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 8 | Mid-Term Exam | Preparation for the exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Trigonometry | Lecture notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 10 | inequalities, absolute value, clusters | Lecture notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Soru-Cevap |
| 11 | Logarithm | Lecture notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama |
| 12 | Limit | Lecture notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Soru-Cevap |
| 13 | Matrix and its properties | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Determinants and equation solutions | Lecture notes | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 15 | Sample applications on matrix and determinant | Lecture notes | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Final Exams | Preparation for the exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Final 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 | ||