TÜRKÇE
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Information
| Code | MMB102 |
| Name | Mathematics for Engineers II |
| Semester | 2. Semester |
| Duration (T+A) | 3-0 (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 | Öğr. Gör. NECLA ÖZTELLI |
Course Goal
The aim of this course is to teach the physical and mathematical use of derivative and integral.
Course Content
In this lecture, line and plane, coordinate axis transformations, functions and derivative applications are explained.
Course Precondition
Yok
Resources
Engineering Mathematics II A. Ganesh ; G. Balasubramanian
Notes
Mathematics Lecture Notes for Engineers (Ali Hamza TANRIKULU)
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Application of mathematics, science and engineering knowledge |
| LO02 | Ability to identify engineering problems |
| LO03 | Ability to formulate engineering problems |
| LO04 | Ability to solve engineering problems |
| LO05 | To be able to perform integral calculations |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Beceriler - Bilişsel, Uygulamalı | Understanding the fundamentals of Mechanical Engineering | 5 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | Being well equipped with knowledge of Mathematics, Science and Basic Engineering | 5 |
| PLO03 | Yetkinlikler - Öğrenme Yetkinliği | Having capability of designing and executing experiments; examining the results and data | 3 |
| PLO04 | Yetkinlikler - Öğrenme Yetkinliği | Being well equipped with various engineering techniques and skills | 2 |
| PLO05 | Yetkinlikler - Öğrenme Yetkinliği | Being able to design a system ,a component or a process with taking into consideration the technical, economic, enviromental, sustainability limitations | 1 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Ability to analyze the applications on a factory without any help, investigate the problems, formulizing and finding a proper solution for the problems | 1 |
| PLO07 | Yetkinlikler - Öğrenme Yetkinliği | Ability to design , developing getting ready for use of a product or manufacturing process | 3 |
| PLO08 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Understanding the importance of life-time learning and being updated | 2 |
| PLO09 | Beceriler - Bilişsel, Uygulamalı | Having advanced speaking and writing English skills | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Using Computer effectively; for computed aided design, analysis and illustrating | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Being prone to teamwork, well communication with others, adaptability to interdisciplinary teams | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Being aware of the technical and ethical responsibility, being curious and innovative | 3 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Definite Integral and Its Applications (Area) | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 2 | Integral Applications (Volume, Arc Length, Surface Area, Momentum ...) | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 3 | Polar Coordinates and Parametric Systems | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 4 | Polar Coordinate System (Area, Arc Length, Surface Area) | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 5 | Generalized integrals | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 6 | Vectors, Matrices | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 7 | Determinants | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 8 | Mid-Term Exam | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 9 | Linear Equation Solving | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 10 | Homogeneous Linear Equation Systems | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 11 | Eigen values and Eigen vectors | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 12 | Lines and Planes in Space | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 13 | Transformation of Cordinate Axes | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 14 | Multiple Integrals and Applications I | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 15 | Multiple Integrals and Applications II | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 16 | Term Exams | Ölçme Yöntemleri: Yazılı Sınav |
|
| 17 | Term Exams | 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 | 4 | 56 |
| 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) | 128 | ||
| Total Workload / 25 (h) | 5,12 | ||
| ECTS | 5 ECTS | ||