TÜRKÇE
ENGLISH
Information
| Code | ME251 |
| Name | Applied Mathematics For. Mech. Eng. |
| Semester | 3. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | İngilizce |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. NAKİ TÜTÜNCÜ |
Course Goal
Carrying one level up the tools learned in basic Calculus; advanced applications
Course Content
Advanced Calculus topics, dierivative applications, infinite series and introductory differential equation analysis
Course Precondition
none
Resources
Lecture Notes
Notes
Calculus and Analytic Geometry, S. K. Stein and A. Barcellos, McGraw-Hill. Elementary Differential Equations and Boundary Value Problems, W. E. Boyce and R. C. Diprima, John Wiley and Sons.
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Review of Basic Mathematics |
| LO02 | Application of Advanced Analysisi topics |
| LO03 | Development of problem formulation abilities |
| LO04 | Mathematical expression of physical phenomena |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Student become equipped with the basic knowledge of math, science and engineering | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Students gain a command of basic concepts, theories and principles in mechanical engineering | 2 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Students are able to design and carry out experiments in the basic fields of mechanical engineering, and interpret the results and the data obtained from the experiments | 3 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Students become equipped with a variety of skills and knowledge regarding engineering techniques | 3 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Students are able to design a system, component or process in order to meet the needs of various engineering problems within technical, economic, environmental, manufacturability, and sustainability limits. | 2 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Students independently review and learn the applications in an enterprise, make a critical assessment of the problems faced with, formulate problems and propose solutions by selecting the proper technique | 4 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Students take initiative in identification, design, development and use of a product or production process. | 2 |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Students become aware of the necessity of lifelong learning and continuously self-renew | 2 |
| PLO09 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students use English effectively for technical or non-technical topics orally or in wirtten form. | 4 |
| PLO10 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students become effective in using computer, computer-aided drafting, design, analysis, and presentation | 1 |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Students have good communicatino skills with a tendency to work in teams, and are able to work effectively as a member of an interdisciplinary team | 2 |
| PLO12 | Yetkinlikler - Öğrenme Yetkinliği | Students become aware of the technical and ethical responsibilities, as well as being inquisitive and innovative | 2 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Series | Basic Algebra | Öğretim Yöntemleri: Anlatım |
| 2 | Convergence, Divergence | Basic Algebra | Öğretim Yöntemleri: Anlatım |
| 3 | Convergence Tests | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 4 | Power Series | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 5 | Taylor Series | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 6 | Partial Derivatives | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 7 | Vector Functions | Basic Calculus and Linear Algebra | Öğretim Yöntemleri: Anlatım |
| 8 | Directional Derivative | Basic Calculus and Linear Algebra | Öğretim Yöntemleri: Anlatım |
| 9 | Line İntegrals | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 10 | Area Integrals | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 11 | Definition of Differential Equations | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 12 | First-Order Differential Equations | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 13 | First-Order Differential Equations | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 14 | First-Order Linear Differential Equations | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 15 | Second-Order Constant-Coefficient Differential Equations | Basic Calculus | Öğretim Yöntemleri: Anlatım |
| 16 | Laplace Transformation Method | Basic Differential Equations | Öğretim Yöntemleri: Anlatım |
| 17 | Laplace Transformation Method | Basic Differential Equations |
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 | ||