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Information
| Code | ME151 |
| Name | Engineering Mathematics I |
| Term | 2024-2025 Academic Year |
| Semester | 1. 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 |
| Label | BS Basic Science Courses C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. HÜSEYİN AKILLI |
| Course Instructor |
Prof. Dr. HÜSEYİN AKILLI
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The general aim of the course is to explain the basic concepts and applications of calculus.
Course Content
The course content consists of limits, derivatives, definite integrals and graphs of functions.
Course Precondition
There are no prerequisites for the course.
Resources
Calculus and Analytic Geometry, Sherman K. Stein, Anthony Barcellos, McGraw Hill
Notes
Course notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains the basic concepts of Calculus. |
| LO02 | Interpret the basic principles of functions. |
| LO03 | Explain some functions and their properties: composite, polynomial and rational functions. |
| LO04 | Analyzes limits and their applications. |
| LO05 | Draws graphs of functions. |
| LO06 | Select and apply auxiliary drawing techniques. |
| LO07 | Writes equations of lines. |
| LO08 | Interpret the plots and limits of trigonometric functions. |
| LO09 | Analyzes derivatives and their applications. |
| LO10 | Explain the use of derivative in drawing graphs of functions. |
| LO11 | interpret the definite integral. |
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 | Calculus and its main concepts: Limit, derivative, and Integral | Course Notes | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 2 | Fundamentals of functions / Domain and ranges / intervals, inequalities | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 3 | Composite functions/ polynomials / rational functions | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 4 | Limit | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 5 | Graphing of functions: Symmetry, intercepts,horizontal/vertical asymptotes | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 6 | Applications on graphing functions. | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 7 | Additional tools for graphings: Vertical/horizontal siftings, Stretching/Flattening/x-axis reflection rules | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 8 | Mid-Term Exam | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 9 | Mid-term exam | previous courses | Ölçme Yöntemleri: Yazılı Sınav |
| 10 | A review of trigonometry: Trigonometric functions, their graphs and related limits. | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 11 | Continuous functions and properties | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 12 | Derivative | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 13 | Applications of derivative | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 14 | The definite integral | previous courses | Öğretim Yöntemleri: Anlatım, Alıştırma ve Uygulama, Problem Çözme |
| 15 | Topics in differential Calculus | 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 | ||