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Information
| Code | ME152 |
| Name | Engineering Mathematics II |
| Term | 2024-2025 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HÜSEYİN AKILLI |
| Course Instructor |
1 2 |
Course Goal / Objective
Learning integral techniques and integral applications; applications in polar coordinates; solving a set of linear equation; concept of curvature and its computation
Course Content
Techniques for finding antiderivatives; Applications of definite integral; Polar coordinates; Solution of a set of linear equations; Parametric equations; Curvature
Course Precondition
none
Resources
Calculus and Analytic Geometry, Sherman K. Stein, Anthony Barcellos, McGraw Hill
Notes
Calculus and Analytic Geometry, Sherman K. Stein, Anthony Barcellos, McGraw Hill
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | learning general solution techniques for integrals problems |
| LO02 | applications of the definite integral in engineering: area, volume, surface area, arc length |
| LO03 | solution of a linear equation set |
| LO04 | applications of integrals in polar coordinates |
| LO05 | parametric equations and curvature |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Adequate knowledge in mathematics, science, and topics specific to mechanical engineering; the ability to use theoretical and applied knowledge in these fields to solve complex engineering problems. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | The ability to identify, formulate, and solve complex engineering problems in the fields of mechanical engineering and technology; the ability to select and apply appropriate analysis and modeling methods for this purpose. | 5 |
| PLO03 | Bilgi - Kuramsal, Olgusal | The ability to design a complex system, process, device, or product under realistic constraints and conditions to meet specific requirements in mechanical engineering; the ability to apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | The ability to select and use modern techniques and tools necessary for analyzing and solving complex problems encountered in mechanical engineering applications; the ability to effectively use information technologies. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | The ability to design experiments, conduct experiments, collect data, analyze and interpret the results for the investigation of complex engineering problems or research topics specific to mechanical engineering. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | The ability to work effectively in intra-disciplinary (mechanical engineering) and multidisciplinary teams; the ability to work individually. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | The ability to communicate effectively both orally and in writing; proficiency in at least one foreign language; the ability to write effective reports in mechanical engineering, understand written reports, prepare design and production reports, deliver effective presentations, and give and receive clear instructions. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Awareness of the necessity of lifelong learning; the ability to access information, follow developments in science and technology, and continuously renew oneself in the field of mechanical engineering. | |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Behaving in accordance with ethical principles, awareness of professional and ethical responsibilities in the field of mechanical engineering, and knowledge about the standards used in engineering practices. | |
| PLO10 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Knowledge of business practices such as project management, risk management, and change management in the field of mechanical engineering; awareness of entrepreneurship and innovation; knowledge about sustainable development. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Awareness of the universal and societal dimensions of the impacts of mechanical engineering applications on health, environment, and safety, and knowledge about the contemporary issues in the field of mechanical engineering; awareness of the legal consequences of mechanical engineering solutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | General procedure to find the antiderivatives | Course Notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 2 | Finding antiderivatives: Integral formulas and substitution technique | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 3 | Partial differentiation technique | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 4 | Antiderivatives of trigonometric functions | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 5 | Trigonometric substitution | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 6 | Integration of rational functions | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 7 | Integration of rational functions 2 | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 8 | Mid-Term Exam | lecture notes | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Applications of definite Integrals: Computation of areas | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 10 | Determination of centroids of areas | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 11 | Computation of volumes of a solid of revolution | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 12 | Computation of arc length and surface area of a solid of revolution | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 13 | Solution of linear equations by Cramer's rule. | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 14 | Polar coordinates | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 15 | Parametric equations | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 16 | Term Exams | previous courses | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | previous courses | 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 | ||