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Information
| Unit | FACULTY OF ENGINEERING |
| INDUSTRIAL ENGINEERING PR. | |
| Code | ENM112 |
| Name | Calculus II |
| Term | 2025-2026 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 3-1 (T-A) (17 Week) |
| ECTS | 5 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 informations and applications of derivative and integral
Course Content
L'hospital rule and Taylor's theorem, Indefinite integral, Definite integral and its applications, Calculating area and volume, Multiple integrals
Course Precondition
Pre-requisites None
Resources
http://matematik.cu.edu.tr/Dersler/MT132/MT132.htm
Notes
Analize Giriş Cilt II ; Fikri Akdeniz, Yusuf Ünlü, Doğan Dönmez
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Students can apply the L'hospital rule and the Taylor's theorem. |
| LO02 | Students can calculate indefinite integral. |
| LO03 | Students can calculate definite integral and learn its applications. |
| LO04 | Students can calculate area and volume by using integral. |
| LO05 | Students can calculate multiple integrals. |
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. | 3 |
| 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. | |
| 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. | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Learn about business practices such as project management, risk management and change management, and is aware of entrepreneurship and innovation. | |
| 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. | 2 |
| 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 | L'hospital rule and the Taylor's theorem | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 2 | Introduction to indefinite integral | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 3 | Basic rules of integrate | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 4 | Integrals of trigonometric functions | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 5 | Integrals of certain functions in special form | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 6 | Integrals of algebraic functions | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 7 | Introduction to definite integral | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 8 | Mid-Term Exam | Problem solving | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Basic theorems about definite integral | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 10 | Basic applications of definite integrals | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 11 | Calculating area | Reading the related chapter from text book | Öğretim Yöntemleri: Problem Çözme |
| 12 | Calculating volume | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 13 | Multiple integrals | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 14 | Basic applications of multiple integrals | Reading the related chapter from text book | Öğretim Yöntemleri: Anlatım, Problem Çözme |
| 15 | General review | 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 | 3 | 42 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 1 | 1 | 1 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 8 | 8 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 123 | ||
| Total Workload / 25 (h) | 4,92 | ||
| ECTS | 5 ECTS | ||