TÜRKÇE
ENGLISH
Information
| Code | JZ225 |
| Name | Engineering Mathematics |
| Term | 2024-2025 Academic Year |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. NAZAR ŞAHİN ÖĞÜŞLÜ |
| Course Instructor |
Doç. Dr. Ayhan ATIZ
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To teach the mathematical background for basic engineering and geological courses, the introduction of differential equations,the solution implementations and the engineering applications.
Course Content
Limits, derivatives, integrals, diferential equations and solution implementations.
Course Precondition
There are no prerequisites for this course.
Resources
Mathematical Methods in Engineering Seçkin Yayıncılık Prof. Dr. Emine Öztürk
Notes
Mathematical Methods in Physics and Engineering
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains solution techniques of I.and II. differential equations and finds out the age of fossils by using radiocarbon. |
| LO02 | Solves some engineering problems such as increase and decrease, mixture and temperature problems. |
| LO03 | Knows Solution methods of Separeble and homogeneous Diferential equations |
| LO04 | Knows Solution methods of exact differential equations |
| LO05 | Knows Lineer ve Bernoulli Diferensiyel Denklemlerin Çözüm Yöntemleri, |
| LO06 | Can make Physical and engineeing applications of differential equations of the first order. |
| LO07 | Learn Higher order of differential equations |
| LO08 | Knows Solution methods of differential equations of the II. order. |
| LO09 | Learn Methods of undetermined coefficient. |
| LO10 | Can make Physical and engineeing applications of differential equations of the II. order. |
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. | |
| 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. | |
| 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. | 3 |
| 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. | |
| 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. | 3 |
| 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 | Descriptions of functions of several variables, limits and continuity. | Reading the related subject (pages 849-856; 858-863) | Öğretim Yöntemleri: Soru-Cevap, Anlatım |
| 2 | Partial derivatives and applications | Reading the related subject (pages 863-869) | Öğretim Yöntemleri: Soru-Cevap, Tartışma |
| 3 | Definite integral over a planar area at the vertical coordinates | Reading the related subject (pages 943-952; 953-960) | Öğretim Yöntemleri: Soru-Cevap, Problem Çözme |
| 4 | Definite integral over a planar area at the polar coordinates | Reading the related subject (pages 968-972) | Öğretim Yöntemleri: Soru-Cevap, Problem Çözme |
| 5 | Definite integral over an object at the cylindiric and spherical coordinates | Reading the related subject (pages 976-984) | Öğretim Yöntemleri: Soru-Cevap, Problem Çözme |
| 6 | Solution methods of Separeble and homogeneous Diferential equations | Reading the related subject (pages 39-45) | Öğretim Yöntemleri: Soru-Cevap, Problem Çözme |
| 7 | Solution methods of exact differential equations | Reading the related subject (pages 52-62) | Öğretim Yöntemleri: Soru-Cevap, Problem Çözme |
| 8 | Mid-Term Exam | Exam preparation | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Solution methods of Linear and Bernoulli differential equations | Reading the related subject (pages 46-52) | Öğretim Yöntemleri: Soru-Cevap, Problem Çözme |
| 10 | Physical and engineeing applications of differential equations of the first order. | Reading the related subject (chapter problems ) | Öğretim Yöntemleri: Soru-Cevap, Problem Çözme |
| 11 | Higher order of differential equations I | Reading the related subject (pages 98-100) | Öğretim Yöntemleri: Soru-Cevap, Problem Çözme |
| 12 | Solution methods of differential equations of the III. order. | Reading the related subject (pages 112-118) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 13 | Methods of undetermined coefficient | Reading the related subject (pages 118-122) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 14 | Physical and engineeing applications of differential equations of the II. order. | Reading the related subject (chapter problems ) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 15 | Application examples | Reading the related subject (chapter problems ) | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Problem Çözme |
| 16 | Term Exams | Exam preparation | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | 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 | ||