TÜRKÇE
ENGLISH
Information
| Code | ENM112 |
| Name | Calculus II |
| Term | 2024-2025 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 3-1 (T-A) (17 Week) |
| ECTS | 5 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 Instructor |
1 2 |
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 | 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. | 1 |
| 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 | 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 |
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 | ||