CMT001 Analytical Methods in Engineering

6 ECTS - 3-1 Duration (T+A)- . Semester- 3.5 National Credit

Information

Code CMT001
Name Analytical Methods in Engineering
Term 2024-2025 Academic Year
Semester . Semester
Duration (T+A) 3-1 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 3.5 National Credit
Teaching Language Türkçe
Level Yüksek Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator Dr. Öğr. Üyesi ENGİN PINAR


Course Goal / Objective

Equip students with the basic practical information on a variety of engineering mathematics to gain the ability to solve mathematical problems.

Course Content

Ordinary differential equations. Series solutions of ordinary differential equations. Fourier series and Fourier integral. Partial differential equations. Separation of variables. Gamma, Bessel, Laguerre functions.

Course Precondition

non

Resources

İleri Mühendislik Matematiği, Michael D. Greenberg, Prentice Hall, İkinci Baskı

Notes

Lecture notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Finds analytical solutions of linear ordinary and partial differential equations
LO02 Is familiar with Fourier series, and special functions
LO03 Calculate numerical differentiation and integration of functions.
LO04 Find the numerical solution of differential equations.
LO05 Use mathematical methods to solve vector analysis, arithmetic progression and dimensional analysis examples.
LO06 Illustrate the wide-ranging uses of calculus within different construction disciplines by solving problems of differential and integral calculus.
LO07 Investigate applications of statistical techniques to interpret, organise and present data by using appropriate computer software packages


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Is dominated with basic concepts, theories and principles in mechanical engineering
PLO02 Bilgi - Kuramsal, Olgusal Is equipped with the basic knowledge of math, science and engineering 4
PLO03 Bilgi - Kuramsal, Olgusal Uses computers effectively, has the ability of computer-aided drafting, design, analysis, and presentation 2
PLO04 Beceriler - Bilişsel, Uygulamalı Plans and does experiments in advanced level, interpretes and analizes the results and the data 2
PLO05 Beceriler - Bilişsel, Uygulamalı Is equipped with a variety of skills and advanced engineering techniques
PLO06 Beceriler - Bilişsel, Uygulamalı To design a system, component or process in order to meet the needs of various engineering problems within the limitations of technical, economic, environmental, manufacturability, sustainability 3
PLO07 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Independently reviews and learns the applications in an enterprise, makes a critical assessment of the problems faced with, has the ability of selecting the proper technique to formulate problems and propose solutions 2
PLO08 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Identifies a product or its production process, design, development, and prioritise its use 3
PLO09 Yetkinlikler - Öğrenme Yetkinliği Becomes aware of the necessity of lifelong learning and continuously self-renew
PLO10 Yetkinlikler - İletişim ve Sosyal Yetkinlik Is capable of effective oral and written English for technical or non-technical use 2
PLO11 Yetkinlikler - İletişim ve Sosyal Yetkinlik Has teamwork skills, good communication skills and works efficiently as a member of versatile and an interdisciplinary team
PLO12 Yetkinlikler - Alana Özgü Yetkinlik Is aware of the technical and ethical responsibilities, inquisitive and innovative 3


Week Plan

Week Topic Preparation Methods
1 First Order Differential Equations Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Gösterip Yaptırma, Soru-Cevap
2 Second Order DE Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Gösterip Yaptırma
3 Series Solutions of Second Order Linear Equations non homegenuous Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Gösterip Yaptırma
4 The Laplace Transform Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Gösterip Yaptırma
5 Systems of First Order Linear Equations Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Gösterip Yaptırma
6 Nonlinear DE and Stability Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Gösterip Yaptırma
7 Partial Differential Equations and Fourier Series Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Gösterip Yaptırma
8 Partial Differential Equations and Weibull distribution Series Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Gösterip Yaptırma
9 Partial Differential Equations and reighley distribution Series Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Anlatım, Gösterip Yaptırma
10 Definition of Boundary Value Problems Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Gösterip Yaptırma
11 Mid-Term Exam Written Exam Ölçme Yöntemleri:
Yazılı Sınav
12 Boundary Value Problems Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Gösterip Yaptırma, Anlatım
13 Solution of Boundary Value Problems Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Gösterip Yaptırma, Anlatım
14 Numerical Differentiation and Integration Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Gösterip Yaptırma
15 Curve Fitting Methods Read the related topics in the lecture notes and reference books Öğretim Yöntemleri:
Gösterip Yaptırma
16 Term Exams Written Exam Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Written Exam Ölçme Yöntemleri:
Yazılı Sınav


Student Workload - ECTS

Works Number Time (Hour) Workload (Hour)
Course Related Works
Class Time (Exam weeks are excluded) 14 4 56
Out of Class Study (Preliminary Work, Practice) 14 4 56
Assesment Related Works
Homeworks, Projects, Others 1 1 1
Mid-term Exams (Written, Oral, etc.) 1 12 12
Final Exam 1 28 28
Total Workload (Hour) 153
Total Workload / 25 (h) 6,12
ECTS 6 ECTS

Update Time: 23.05.2024 10:29