TÜRKÇE
ENGLISH
Information
| Unit | CEYHAN FACULTY OF ENGINEERING |
| MECHANICAL ENGINEERING PR. | |
| Code | MMB201 |
| Name | Applied Mathematics for Engineers |
| Term | 2020-2021 Academic Year |
| Semester | 3. 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 | Uzaktan Öğretim |
| Catalog Information Coordinator | Prof. Dr. ABDULKADİR YAŞAR |
| Course Instructor |
Prof. Dr. ABDULKADİR YAŞAR
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim of this course is to realize fundamental mathematical concepts found in engineering problems and showing them the basic analytical solution methods.
Course Content
Series.Power Series. Taylor and MacLaurin Series. Complex Numbers. Vektor Functions. Gradient., Divergence, Laplacian Operators. Directional Derivative. Line Integrals. Area Integrals. Differential Equations: Definition and Types. First-Order Equations. Linear Equations. First-Order Partial Differential Equations. Second-Order Equations with Constant Coefficients. Laplace Transformations.
Course Precondition
Yok
Resources
Notes
12
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Recognize technique of thinking mathematically |
| LO02 | Understand the engineering systems that can be modeled by using the partial differential equations, such as the heat and wave equations, thus, to illuminate many problems in the nature. |
| LO03 | Understand he comment and solving capability of the problems appearing in engineering, physics, and other some fields |
| LO04 | Understand series and power series |
| LO05 | PerceiveTaylor and MacLaurin Series |
| LO06 | Understand complex numbers |
| LO07 | Understand Vector Functions and Gradient. |
| LO08 | Understand Divergence, Laplacian Operators |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Understanding the fundamentals of Mechanical Engineering | 5 |
| PLO02 | - | Being well equipped with knowledge of Mathematics, Science and Basic Engineering | 5 |
| PLO03 | - | Having capability of designing and executing experiments; examining the results and data | 0 |
| PLO04 | - | Being well equipped with various engineering techniques and skills | 1 |
| PLO05 | - | Being able to design a system ,a component or a process with taking into consideration the technical, economic, enviromental, sustainability limitations | 1 |
| PLO06 | - | 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 | - | Ability to design , developing getting ready for use of a product or manufacturing process | 3 |
| PLO08 | - | Understanding the importance of life-time learning and being updated | 2 |
| PLO09 | - | Having advanced speaking and writing English skills | 1 |
| PLO10 | - | Using Computer effectively; for computed aided design, analysis and illustrating | 1 |
| PLO11 | - | Being prone to teamwork, well communication with others, adaptability to interdisciplinary teams | 0 |
| PLO12 | - | Being aware of the technical and ethical responsibility, being curious and innovative | 1 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Sequences. Series. Convergence-Divergence | Read the related topics in the lecture notes and reference books | |
| 2 | Power Series. Taylor and Maclaurin Series | Read the related topics in the lecture notes and reference books | |
| 3 | Complex Numbers | Read the related topics in the lecture notes and reference books | |
| 4 | Partial Differentiation. Chain Rule | Read the related topics in the lecture notes and reference books | |
| 5 | Vector Calculus. Gradient and Directional Derivative | Read the related topics in the lecture notes and reference books | |
| 6 | Multiple Integrals: Double Integrals | Read the related topics in the lecture notes and reference books | |
| 7 | Area Integrals using Polar Coordinates | Read the related topics in the lecture notes and reference books | |
| 8 | Mid-Term Exam | Midterm Exam | |
| 9 | Divergence, Curl and Laplacian. Line Integrals | Read the related topics in the lecture notes and reference books | |
| 10 | Differential Equations (DE), First-order DE | Read the related topics in the lecture notes and reference books | |
| 11 | Linear First-order Partial DE | Read the related topics in the lecture notes and reference books | |
| 12 | Nonhomogeneous DE | Read the related topics in the lecture notes and reference books | |
| 13 | Laplace Transformation | Read the related topics in the lecture notes and reference books | |
| 14 | Second-order Linear Partial DE | Read the related topics in the lecture notes and reference books | |
| 15 | DE Applications | Read the related topics in the lecture notes and reference books | |
| 16 | Term Exams | Final Exam | |
| 17 | Term Exams | 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 | 3 | 42 |
| 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) | 114 | ||
| Total Workload / 25 (h) | 4,56 | ||
| ECTS | 5 ECTS | ||