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Information
| Code | MMB201 |
| Name | Applied Mathematics for Engineers |
| 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 |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ABDULKADİR YAŞAR |
Course Goal
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
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Resources
Mathematics for Engineers, Prof.Dr. Hamza TANRIKULU Lectures Notes
Notes
Calculus and Analytic Geometry (Sherman K. STEIN, Anthhony BARCELLOS,McGraw-Hill, Inc.
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 | 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 | 3 |
| PLO03 | Yetkinlikler - Öğrenme Yetkinliği | Having capability of designing and executing experiments; examining the results and data | 2 |
| 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 | 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 | 3 |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Being prone to teamwork, well communication with others, adaptability to interdisciplinary teams | 3 |
| PLO12 | Bilgi - Kuramsal, Olgusal | Being aware of the technical and ethical responsibility, being curious and innovative | 2 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Sequences. Series. Convergence-Divergence | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 2 | Power Series. Taylor and Maclaurin Series | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 3 | Complex Numbers | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 4 | Partial Differentiation. Chain Rule | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 5 | Vector Calculus. Gradient and Directional Derivative | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 6 | Multiple Integrals: Double Integrals | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 7 | Area Integrals using Polar Coordinates | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 8 | Mid-Term Exam | Midterm Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 9 | Divergence, Curl and Laplacian. Line Integrals | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 10 | Differential Equations (DE), First-order DE | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 11 | Linear First-order Partial DE | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 12 | Nonhomogeneous DE | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 13 | Laplace Transformation | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 14 | Second-order Linear Partial DE | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 15 | DE Applications | Read the related topics in the lecture notes and reference books | Öğretim Yöntemleri: Anlatım, Tartışma, Problem Çözme |
| 16 | Term Exams | Final Exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Final Exam | 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 | 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 | ||