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Information
| Code | JZ120 |
| Name | mathematics |
| Term | 2024-2025 Academic Year |
| Semester | 2. 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 |
1 |
Course Goal / Objective
To teach the basic engineering courses and vocational courses in Geological Engineering mathematical infrastructure required for the win.
Course Content
Coordinate systems, integral and trigonometric functions.
Course Precondition
Pre-requisites None
Resources
http://matematik.cu.edu.tr/Dersler/MT131/MT131.htm
Notes
Analize Giriş Cilt I ; Fikri Akdeniz, Yusuf Ünlü, Doğan Dönmez
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Converts the equations of the curves from vertical coordinates to polar coordinates and draws the graphs of some special curves in polar coordinates. |
| LO02 | Understands the concept of integral is the inverse of the derivative.Finds area, volume and the center of mass by using integral. Calculates generalized integrals. |
| LO03 | Learn Definition of the indefinite integral, computing indefinite integrals |
| LO04 | Calculate integration by Substitution rule and integration by parts |
| LO05 | Can calculate Integration by partial fractions |
| LO06 | Knows Trigonometric integrals |
| LO07 | Can calculate Integration by trigonometric transformation |
| LO08 | Learn Definite integral. |
| LO09 | can calculate the area and volume by using definite integrals |
| LO10 | Can calculate arc length and surface area by the use of definite integrals |
| LO11 | Finding the coordinates of the center of mass |
| LO12 | Knows Pappus theorem and its application |
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. | 4 |
| 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. | 2 |
| 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. | 1 |
| 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. | 1 |
| 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. | 2 |
| 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. | 1 |
| 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. | 2 |
| 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. | 2 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Polar coordinates, graphs of some special curves | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 2 | Definition of the indefinite integral, computing indefinite integrals | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 3 | Substitution rule, integration by parts | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 4 | Integration by partial fractions | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 5 | Trigonometric integrals | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 6 | Integration by trigonometric transformation | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 7 | Definite integral | 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 | Calculating the area and volume by using definite integrals | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 10 | Calculating the area and volume by using definite integrals 2 | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 11 | Finding arc length and surface area by the use of definite integrals | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 12 | Finding the coordinates of the center of mass | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 13 | Pappus theorem and its application | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 14 | Generalized integral | Read the relevant chapter in the book and discussion | Öğretim Yöntemleri: Anlatım |
| 15 | Generalized integral 2 | 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 | ||