ME251 Applied Mathematics For. Mech. Eng.

5 ECTS - 3-0 Duration (T+A)- 3. Semester- 3 National Credit

Information

Code ME251
Name Applied Mathematics For. Mech. Eng.
Term 2023-2024 Academic Year
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 Instructor Prof. Dr. NAKİ TÜTÜNCÜ (A Group) (Ins. in Charge)


Course Goal / Objective

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
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
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 continue 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 continue Basic Differential Equations Ölçme Yöntemleri:
Performans Değerlendirmesi


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

Update Time: 08.05.2023 09:39