TÜRKÇE
ENGLISH
Information
| Unit | CEYHAN FACULTY OF ENGINEERING |
| MECHANICAL ENGINEERING PR. | |
| Code | MMB102 |
| Name | Mathematics for Engineers II |
| Term | 2017-2018 Academic Year |
| 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 |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Öğr. Gör. NECLA ÖZTELLI |
| Course Instructor |
Dr. Öğr. Üyesi EBRU ERÜNAL
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
Explanation of the physical and mathematical meaning of derivative and integral
Course Content
Applications of definite integral; area, volume and centroid calculations. Polar coordinates. Vectors, matrices (definition, types, sum and multiplication).Law of determinants and their calculations. Linear equations and their solutions. Lines and planes in space. Transformation of coordinate axes. Multiple integrals and their uses.
Course Precondition
Yok
Resources
Notes
12
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 | 4 |
| PLO02 | Beceriler - Bilişsel, Uygulamalı | Being well equipped with knowledge of Mathematics, Science and Basic Engineering | 4 |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 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 | |
| 2 | Integral Applications (Volume, Arc Length, Surface Area, Momentum ...) | Read the related topics in the lecture notes and reference books | |
| 3 | Polar Coordinates and Parametric Systems | Read the related topics in the lecture notes and reference books | |
| 4 | Polar Coordinate System (Area, Arc Length, Surface Area) | Read the related topics in the lecture notes and reference books | |
| 5 | Generalized integrals | Read the related topics in the lecture notes and reference books | |
| 6 | Vectors, Matrices | Read the related topics in the lecture notes and reference books | |
| 7 | Determinants | Read the related topics in the lecture notes and reference books | |
| 8 | Midterm Exam | Read the related topics in the lecture notes and reference books | |
| 9 | Solving Systems of Linear Equation | Read the related topics in the lecture notes and reference books | |
| 10 | Homogeneous Linear Equation Systems | Read the related topics in the lecture notes and reference books | |
| 11 | Eigen values and Eigen vectors | Read the related topics in the lecture notes and reference books | |
| 12 | Lines and Planes in Space | Read the related topics in the lecture notes and reference books | |
| 13 | Transformation of coordinate axes | Read the related topics in the lecture notes and reference books | |
| 14 | Multiple Integrals and Applications | Read the related topics in the lecture notes and reference books | |
| 15 | Multiple Integrals and Applications | Read the related topics in the lecture notes and reference books | |
| 16 | Final Exam | ||
| 17 | Final Exam |
Assessment (Exam) Methods and Criteria
| 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 | 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 | ||