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Information
| Code | JZ123 |
| Name | Mathematics 1 |
| Term | 2024-2025 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 2-1 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ALİ ARSLAN ÖZKURT |
| Course Instructor |
Doç. Dr. Ayhan ATIZ
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach the mathematical background of the basics of engineering and the technical courses of the Geological Engineering.
Course Content
Matrix, determinant concept, funtion concept, limit, derivative and differential equations.
Course Precondition
There are no prerequisites for this course.
Resources
GENEL MATEMATİK 1 Palme Yayıncılık - Akademik Kitaplar Mustafa Balcı
Notes
Methods of Mathematics
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains the arithmetic operations on matrices |
| LO02 | Calculates the reverse and determinant of a matrix |
| LO03 | Performs the linear equation systems and solution methods by using matrices |
| LO04 | Describes function, limit and continuity concepts. |
| LO05 | Knows Continuity, classification of discontinuities |
| LO06 | Knows Derivative concept, definition, geometric mean, the basic rules of differentiation |
| LO07 | Can explain Tangent equation, the maximum and minimum of a function, a variety of engineering problems |
| LO08 | Knows concept of Differentials |
| LO09 | Can make The approximate account by using differentials |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Adequate knowledge in mathematics, science and subjects specific to the discipline of geological engineering; ability to apply theoretical and applied knowledge in these areas to complex engineering problems. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | The ability to identify, define, analyze, formulate, select (or develop) solution models and solve complex geology and geological engineering problems with the acquired knowledge. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | The ability to design and implement a complex system, process, device or product related to Geology and Geological Engineering using modern design methods to meet the needs under realistic constraints and conditions. | |
| PLO04 | Yetkinlikler - Alana Özgü Yetkinlik | The ability to develop, select, and use modern techniques and tools required for the analysis and solution of a complex problem encountered in Geology and Geological Engineering applications and the ability to use information technologies effectively. | |
| PLO05 | Yetkinlikler - Alana Özgü Yetkinlik | The ability to design and conduct experiments, collect data, analyze and interpret results, and design and conduct experiments to investigate complex engineering problems or research topics specific to the discipline of Geology and Geological Engineering. | 2 |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | The ability to work effectively in disciplinary and multidisciplinary teams; ability to work individually. | 3 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | The ability to communicate effectively in oral and written Turkish; knowledge of at least one foreign language; ability to write effective reports and understand written reports, prepare design and production reports, make effective presentations, to give and receive clear and understandable instructions. | |
| PLO08 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Awareness of the necessity of lifelong learning; the ability to access information, to follow developments in science and technology, and to continuously renew oneself. | |
| PLO09 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Acting in accordance with ethical principles when solving engineering problems, awareness of professional and ethical responsibility; knowledge of standards used in engineering practice. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Knowledge of business life practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; knowledge of sustainable development. | 5 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Knowledge about the global and societal effects on health, environment and safety in the solution of Geology and Geological Engineering applications and the problems of the era reflected in the field of engineering; awareness of the legal consequences of engineering solutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Matrices, equal matrices, arithmetic operations, special matrices | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 2 | Determinants, properties of determinant, inverse matrices | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 3 | Systems of Linear Equations and Solution Methods, Cramers method | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 4 | Echelon matrix, Gauss Elimination Method | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 5 | The concept of function, the domain of function, some special functions | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 6 | Some of the properties of functions and their graphs | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 7 | Limits of functions of one variable, definition, limit properties | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 8 | Mid-Term Exam | Mid-term exam preparation | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Infinity limits | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 10 | Continuity, classification of discontinuities | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 11 | Derivative concept, definition, geometric mean, the basic rules of differentiation-1 | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 12 | Derivative concept, definition, geometric mean, the basic rules of differentiation-2 | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 13 | Tangent equation, the maximum and minimum of a function, a variety of engineering problems | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 14 | Differentials | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 15 | The approximate account by using differentials | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 16 | Term Exams | Final exam preparation | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Final exam preparation | 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 | 12 | 12 |
| Final Exam | 1 | 18 | 18 |
| Total Workload (Hour) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||