OM0089 Analytical Methods in Engineering

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

Information

Code OM0089
Name Analytical Methods in Engineering
Term 2024-2025 Academic Year
Semester . Semester
Duration (T+A) 3-0 (T-A) (17 Week)
ECTS 6 ECTS
National Credit 3 National Credit
Teaching Language Türkçe
Level Yüksek Lisans Dersi
Type Normal
Mode of study Yüz Yüze Öğretim
Catalog Information Coordinator


Course Goal / Objective

To equip students with knowledge of basic applied engineering mathematics and to gain the ability to solve various mathematical problems.

Course Content

Ordinary differential equations. Sweri solution of ordinary differential equations. Fourier series and Fourier integral. Partial differential equations. Gamma, Bessel and Laquerre functions

Course Precondition

There are no prerequisites for the course.

Resources

Advanced Engineering Mathematics, Michael D. Greenberg, Prentice Hall, Second Edition

Notes

Lecture notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 Makes analytical solution of linear and partial differential equations.
LO02 Gives information about Fourier series and special functions.
LO03 Calculates the numerical derivative and integral of functions.
LO04 Finds numerical solutions of differential equations.
LO05 Vektör analizi, aritmetik dizi ve boyut analizi örneklerini çözmek için matematiksel yöntemleri kullanır.
LO06 Demonstrates the wide use of calculus in different building disciplines by solving differential and integral problems.
LO07 Explores applications of statistical techniques to interpret, organize and present data using appropriate software packages.


Relation with Program Learning Outcome

Order Type Program Learning Outcomes Level
PLO01 Bilgi - Kuramsal, Olgusal Understands the interdisciplinary interaction that is related to Automotive Engineering. 4
PLO02 Bilgi - Kuramsal, Olgusal Understands the necessary ethical values while producing an academic product.
PLO03 Beceriler - Bilişsel, Uygulamalı Makes a literature search and defines the scientific problem. 5
PLO04 Beceriler - Bilişsel, Uygulamalı Interprets and creates new information by integrating the knowledge gained in the field of Automotive Engineering with the information from different disciplines. 3
PLO05 Beceriler - Bilişsel, Uygulamalı Provides solutions to the problems of the age by understanding the effects on health, environment and safety in the universal and social dimensions of engineering applications.
PLO06 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Carries out a work that requires expertise in the field of Automotive Engineering independently. 5
PLO07 Yetkinlikler - Öğrenme Yetkinliği Understands and applies academic research methods in the field of engineering. 3
PLO08 Yetkinlikler - Öğrenme Yetkinliği Access information in the field of Automotive Engineering at the level of expertise, based on undergraduate level qualifications.
PLO09 Yetkinlikler - İletişim ve Sosyal Yetkinlik Leads in environments that require the resolution of problems related to the Automotive Engineering field.
PLO10 Yetkinlikler - İletişim ve Sosyal Yetkinlik Conveys systematically the current developments in the field of Automotive Engineering and its own studies to groups in and outside the field, in written, verbal and visual forms, by supporting them with quantitative and qualitative data.
PLO11 Yetkinlikler - İletişim ve Sosyal Yetkinlik Develops new strategic approaches for the solution of complex and unpredictable problems encountered in applications related to the Automotive Engineering field and produces solutions by taking responsibility. 4
PLO12 Yetkinlikler - Alana Özgü Yetkinlik Uses the theoretical and applied knowledge at the level of expertise gained in the field of Automotive Engineering. 4


Week Plan

Week Topic Preparation Methods
1 First-order differential equations and their analytical solutions Lecture notes and reference book Öğretim Yöntemleri:
Anlatım
2 Second-order differential equations and their solutions Lecture notes and reference book Öğretim Yöntemleri:
Anlatım
3 Serial solution of second order inhomogeneous differential equations Lecture notes and reference book Öğretim Yöntemleri:
Anlatım
4 Laplace transformation Lecture notes and reference book Öğretim Yöntemleri:
Anlatım
5 Solution of first-order system of linear equations Lecture notes and reference book Öğretim Yöntemleri:
Anlatım
6 Nonlinear differential equations and stability Lecture notes and reference book Öğretim Yöntemleri:
Anlatım
7 Partial differential equations and Fourier series Lecture notes and reference book Öğretim Yöntemleri:
Anlatım
8 Mid-Term Exam Lecture notes and reference book Ölçme Yöntemleri:
Yazılı Sınav
9 Partial differential equations and Weibull distribution series Lecture notes and reference book Öğretim Yöntemleri:
Anlatım
10 Partial differential equations and Reighley distribution series Lecture notes and reference book Öğretim Yöntemleri:
Anlatım
11 Definition of boundary value problems Lecture notes and reference book Öğretim Yöntemleri:
Anlatım
12 Boundary value problems Lecture notes and reference book Öğretim Yöntemleri:
Anlatım
13 Solution of boundary value problems Lecture notes and reference book Öğretim Yöntemleri:
Anlatım
14 Numerical Derivative and Integral Calculation Lecture notes and reference book Öğretim Yöntemleri:
Anlatım
15 Curve Fitting Methods Lecture notes and reference book Öğretim Yöntemleri:
Anlatım
16 Term Exams Lecture notes and reference book Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams Lecture notes and reference book 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 1 20 20
Mid-term Exams (Written, Oral, etc.) 1 10 10
Final Exam 1 40 40
Total Workload (Hour) 154
Total Workload / 25 (h) 6,16
ECTS 6 ECTS

Update Time: 14.05.2024 10:11