TÜRKÇE
ENGLISH
Information
| Code | ENM103 |
| Name | Calculus I |
| Semester | 1. Semester |
| Duration (T+A) | 3-1 (T-A) (17 Week) |
| ECTS | 6 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. GONCA AYIK |
Course Goal
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 | Have sufficient knowledge of mathematics, science and related engineering disciplines; can use the theoretical and applied knowledge in these fields in complex engineering problems. | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Acquire the ability to identify, define, formulate and solve complex Industrial Engineering problems; for this purpose, will have the ability to choose and apply appropriate analysis and modeling methods. | 4 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Design a complex system, process, device or product to meet specific requirements under realistic constraints and conditions; can apply modern design methods for this purpose. | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Develops modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications, and has the ability to use information technologies effectively. | 2 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Have the ability to design experiments, collect data, analyze and interpret results for the investigation of complex 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. | 3 |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Ability to communicate effectively in Turkish orally and in writing; knowledge of at least one foreign language; have the ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give and receive clear and understandable instructions. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Have the awareness of the necessity of lifelong learning; can follow the developments in science and technology and have the ability to constantly renew themselves. | 2 |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Acts in accordance with ethical principles, has knowledge about the standards used in engineering applications with the awareness of professional and ethical responsibility. | 4 |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Gain knowledge of business practices such as project management, risk management and change management; become aware of entrepreneurship and innovation. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Gains knowledge about the effects of engineering practices on health, environment and safety in universal and social dimensions and the problems of the age reflected in the field of engineering and has awareness of the legal consequences of engineering solutions. | |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | They can benefit from the power of effective communication in their professional life and have the ability to interpret developments correctly. | 2 |
| PLO13 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve integrated systems involving machine, time, information and money. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Have the ability to design, develop, implement and improve complex products, processes, businesses, systems by applying modern design methods, under realistic conditions and constraints such as cost, environment, sustainability, manufacturability, ethical, health, safety and political issues. | 2 |
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 |
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 | ||