TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| INDUSTRIAL ENGINEERING PR. | |
| Code | ENM103 |
| Name | Calculus I |
| Term | 2025-2026 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 3-1 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3.5 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. GONCA AYIK |
| Course Instructor |
The current term course schedule has not been prepared yet. Previous term groups and teaching staff are shown.
|
Course Goal / Objective
To equip students with the knowledge of basic engineering mathematics and applications of this information to teach the Industrial Engineering
Course Content
Concept of function, limit, continuity, derivatives, definition of differentials and their geometrical understanding and applications (increasing and decreasing functions, and searching the turning points, maximum and minimum points). Introduction of exponential, logarithmic, hyperbolic and inverse trigonometric functions and their derivatives.
Course Precondition
Pre-requisites None
Resources
http://matematik.cu.edu.tr/Dersler/MT131/MT131.htm
Notes
Analize Giriş Cilt I ; Fikri Akdeniz, Yusuf Ünlü, Doğan Dönmez
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | To be equipped with basic knowledge of mathematics |
| LO02 | To be equipped with applications of mathematics |
| LO03 | Having the skill to solve certain basic problems |
| LO04 | Understanding the relationship between engineering and mathematics |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Acquires sufficient knowledge in mathematics, science and Industrial Engineering discipline-specific subjects; acquires the ability to use theoretical and applied knowledge in these fields in complex engineering problems. | 3 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquires the ability to identify, define, formulate and analytically solve complex Industrial Engineering problems; and has the ability to select and apply appropriate analysis and modelling methods for this purpose. | 3 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Acquires the ability to design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; acquires the ability to apply modern design methods for this purpose. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Acquires the ability to select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in Industrial Engineering applications and acquires the ability to use information technologies effectively. | 2 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Acquire the skills to design and conduct experiments, collect data, analyze and interpret results to investigate complex Industrial Engineering problems or discipline-specific research topics. | 2 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Have the ability to work effectively in disciplinary and multi-disciplinary teams or individually. | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Ability to communicate effectively in Turkish, both verbally and in writing; knowledge of at least one foreign language; ability to write and understand effective reports, prepare design and production reports, make effective presentations, and give and receive clear and understandable instructions. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | They have awareness of the necessity of lifelong learning; they have the ability to access information, follow developments in science and technology, and constantly renew themselves. | 2 |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Acting in accordance with ethical principles, becoming knowledgeable about the standards used in engineering practices with awareness of professional and ethical responsibility. | 3 |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Learn about business practices such as project management, risk management and change management, and is aware of entrepreneurship and innovation. | 2 |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Informed about the universal and societal impacts of engineering practices on health, environment and safety, and the contemporary problems reflected in the field of engineering, and is aware of the legal consequences of engineering solutions. | 2 |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Benefit from the power of effective communication in professional life and has the ability to interpret developments correctly. | |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve integrated systems that include machines, people, time, information or money. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | By applying modern design methods, they have the ability to design, develop, implement and improve complex products, processes, businesses and systems under realistic conditions and constraints such as cost, environment, sustainable development, energy, manufacturability, ethics, health, safety and political issues. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Introduction to functions | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 2 | Some type of functions | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 3 | Introduction to limit | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 4 | Some basic theorems about limit | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 5 | Infinite limits and limits in infinite | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 6 | Continuity | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 7 | Derivative and some basic derivative rules | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 8 | Mid-Term Exam | Problem solving | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 9 | Higher Order Derivatives | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 10 | Some applications of derivative | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 11 | To draw the graphs of any function | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Tartışma |
| 12 | Some applications to max. and min. problems | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 13 | Exponential and logarithmic functions | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Trigonometric functions and their derivatives | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | Solving some basic problems | Problem solving | Öğretim Yöntemleri: Problem Çözme |
| 16 | Term Exams | Problem solving | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Problem solving | Ölçme Yöntemleri: Yazılı Sınav |
Assessment (Exam) Methods and Criteria
Current term shares have not yet been determined. Shares of the previous term are shown.
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
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 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 1 | 1 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 12 | 12 |
| Final Exam | 1 | 28 | 28 |
| Total Workload (Hour) | 153 | ||
| Total Workload / 25 (h) | 6,12 | ||
| ECTS | 6 ECTS | ||