ME151 Engineering Mathematics I

5 ECTS - 3-0 Duration (T+A)- 1. Semester- 3 National Credit

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
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

Learning the main concepts of Calculus and their applications

Course Content

limit, derivative, integral and graphing functions

Course Precondition

none

Resources

Calculus and Analytic Geometry, Sherman K. Stein, Anthony Barcellos, McGraw Hill

Notes

Course notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Learning the main concepts of Calculus
LO02 function's fundamentals
LO03 some function types and their properties: composite, polynomial and rational functions.
LO04 Knows limit and its applications
LO05 plotting graphs of functions
LO06 yardımcı çizim tekniklerinin öğrenilmesi
LO07 doğruların denklemlerini yazabilme
LO08 learning graphing and limits of trigonometric functions.
LO09 derivative and its applications in engineering
LO10 graphing with the derivative
LO11 knows definite integral
LO12 topics in differential Calculus


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

Update Time: 22.10.2024 10:51