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Information
| Code | TMT241 |
| Name | Engineering Mathematics |
| Semester | 3. Semester |
| Duration (T+A) | 3-1 (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 | Prof. ALKHAN SARIYEV |
Course Goal
Explanation and applications of mathematical-physics problems applied in engineering branches with examples
Course Content
Math-physics problems applied in engineering, derivative, differential and integral applications, linear algebra, interpolation
Course Precondition
No prerequisites
Resources
Advanced Engineering Mathematics
Notes
Different resources on Engineering Mathematics
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Presents mathematical-physics problems applied in engineering with various examples. |
| LO02 | Teaches derivative and differential applications in solving problems. |
| LO03 | Solve integral applications in calculation of curve areas and volumes with examples. |
| LO04 | Makes determinant and matrix transformations for the solution of linear equations systems. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Adequate knowledge of mathematics, science and Agricultural Machinery and Technologies engineering disciplines; gain the knowledge to use theoretical and applied knowledge in these fields in complex engineering problems | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Gains knowledge of defining, formulating and solving problems in the fields of Agricultural Machinery and Technologies Engineering, choosing and applying appropriate analysis and modeling methods for this purpose. | 3 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Knows how to design a complex system, process, device or product related to the engineering field, under realistic constraints and conditions, in other words, by considering the available possibilities and the current state of the field, and to apply modern design methods for this purpose. | |
| PLO04 | Beceriler - Bilişsel, Uygulamalı | Gain the ability to develop, select and use modern tools necessary for the analysis and solution of complex problems encountered in Agricultural Machinery and Technologies Engineering applications and to use information technologies effectively. | |
| PLO05 | Beceriler - Bilişsel, Uygulamalı | Gains the ability to design experiments, conduct experiments, field studies, collect data, analyze and interpret results in order to examine the complex problems or discipline-specific research issues encountered in the field of Agricultural Machinery and Technologies Engineering. | |
| PLO06 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | It carries out studies related to its field independently, and acts as a consultant, audit and expert. | |
| PLO07 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Ability to work effectively in disciplinary and multi-disciplinary teams; gains the ability to work individually. | |
| PLO08 | Yetkinlikler - Öğrenme Yetkinliği | Gains the ability to write effective reports in the field, to understand written reports, to prepare design and production reports, to make effective presentations, to take and give clear and understandable instructions. | |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Awareness of the necessity of lifelong learning; gains a positive attitude towards accessing information, following developments in science and technology, and continuous innovation. | |
| PLO10 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | It is sensitive to the events/developments on the agenda of the society and the world and monitors these developments, prepares projects, produces and shares solution suggestions. | |
| PLO11 | Yetkinlikler - İletişim ve Sosyal Yetkinlik | Follows the information in the field and communicates with colleagues by using a foreign language at least at the B1 level of the European Language Portfolio. | |
| PLO12 | Yetkinlikler - Alana Özgü Yetkinlik | Knowledge of business practices related to engineering, such as project management, risk management and change management; awareness of entrepreneurship, innovation; gains knowledge about sustainable development. | |
| PLO13 | Yetkinlikler - Alana Özgü Yetkinlik | Knowledge of the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems reflected in the field of engineering; gain awareness of the legal consequences of engineering solutions. | |
| PLO14 | Yetkinlikler - Alana Özgü Yetkinlik | Acts in accordance with ethical principles, professional and ethical responsibility, and standards used in engineering practices |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Differential rules and ruler | Taking Mathematics -1 and Mathematics-II courses | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 2 | The physics, geometric meaning of the differential | Taking Mathematics -1 and Mathematics-II courses | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Differential Application examples | Taking Mathematics -1 and Mathematics-II courses | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 4 | Differential Applications in the investigation of functions | Taking Mathematics -1 and Mathematics-II courses | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Differential Applications in various other fields | Taking Mathematics -1 and Mathematics-II courses | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | Differential of parametric, closed and multivariable functions | Taking Mathematics -1 and Mathematics-II courses | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Preparation for the midterm exam | Taking Mathematics -1 and Mathematics-II courses | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | Ölçme Yöntemleri: Yazılı Sınav |
|
| 9 | Indefinite integral and integral rules and rulers | Taking Mathematics -1 and Mathematics-II courses | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | Variable substitution and partial integration methods, integrals of various functions | Taking Mathematics -1 and Mathematics-II courses | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Definite integral and its applications | Taking Mathematics -1 and Mathematics-II courses | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 12 | Determination of curved areas and curved path length with integral applications | Taking Mathematics -1 and Mathematics-II courses | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Determination of volumes with integral applications | Taking Mathematics -1 and Mathematics-II courses | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Linear algebra and its applications | Taking Mathematics -1 and Mathematics-II courses | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Matrix and Determinant properties and applications, interpolation | Taking Mathematics -1 and Mathematics-II courses | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 16 | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
|
| 17 | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 1 | 1 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 123 | ||
| Total Workload / 25 (h) | 4,92 | ||
| ECTS | 5 ECTS | ||