CMT002 Numerical Methods in Engineering

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

Information

Code CMT002
Name Numerical 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 teach the numerical methods used in the solution of ordinary and partial differential equations which are encountered in engineering problems and to improve the computer skills of the students.

Course Content

Solution of nonlinear equations, Newton Raphson method, improved Newton-Raphson method, secant method. Numerical solution of nonlinear boundary value problems of ordinary differential equations. Numerical solution of linear and nonlinear partial differential equations; parabolic equations, hyperbolic equations, elliptic equations. Iteration methods. Nonlinear boundary conditions. Two and three dimensional elliptic and parabolic partial differential equations.

Course Precondition

none

Resources

1. Smith, G.D. Numerical Solution of Partial Differential Equations. Clarendon Pres ? Oxford. 2. Chapra, S. C. And Canale R. P. (1998). Numerical Methods for Engineers. Third Edition. McGraw-Hill Book Company.

Notes

Lecture notes


Course Learning Outcomes

Order Course Learning Outcomes
LO01 The ability to solve sets of linear equations numerically
LO02 The ability to obtain numerical solutions of ordinary and partial differential equations encountered in engineering problems
LO03 The ability to apply different boundary and initial conditions to numerical solutions
LO04 The ability to develop algorithms required for computer solutions


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 4
PLO02 Bilgi - Kuramsal, Olgusal Is equipped with the basic knowledge of math, science and engineering 5
PLO03 Bilgi - Kuramsal, Olgusal Uses computers effectively, has the ability of computer-aided drafting, design, analysis, and presentation 5
PLO04 Beceriler - Bilişsel, Uygulamalı Plans and does experiments in advanced level, interpretes and analizes the results and the data
PLO05 Beceriler - Bilişsel, Uygulamalı Is equipped with a variety of skills and advanced engineering techniques 4
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
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 3
PLO08 Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği Identifies a product or its production process, design, development, and prioritise its use
PLO09 Yetkinlikler - Öğrenme Yetkinliği Becomes aware of the necessity of lifelong learning and continuously self-renew 3
PLO10 Yetkinlikler - İletişim ve Sosyal Yetkinlik Is capable of effective oral and written English for technical or non-technical use
PLO11 Yetkinlikler - İletişim ve Sosyal Yetkinlik Has teamwork skills, good communication skills and works efficiently as a member of versatile and an interdisciplinary team 4
PLO12 Yetkinlikler - Alana Özgü Yetkinlik Is aware of the technical and ethical responsibilities, inquisitive and innovative


Week Plan

Week Topic Preparation Methods
1 Introduction to Fourier Series Lecture Notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
2 Fourier Series Lecture Notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
3 Introduction to Special Functions Lecture Notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
4 Special Functions Lecture Notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
5 Introduction to Seperation of Variables Lecture Notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
6 Seperation of Variables Lecture Notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
7 Review Lecture Notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
8 Mid-Term Exam Ölçme Yöntemleri:
Yazılı Sınav
9 Introduction to Complex Functions, Complex Integration Lecture Notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
10 Complex Functions, Complex Integration Lecture Notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
11 Introduction to Residue Theorem Lecture Notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
12 Residue Theorem Lecture Notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
13 Introduction to Laplace Transform Lecture Notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
14 Laplace Transform Lecture Notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
15 Complementary Functions Method Lecture Notes Öğretim Yöntemleri:
Anlatım, Problem Çözme
16 Term Exams Ölçme Yöntemleri:
Yazılı Sınav
17 Term Exams 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 5 70
Assesment Related Works
Homeworks, Projects, Others 0 0 0
Mid-term Exams (Written, Oral, etc.) 1 15 15
Final Exam 1 30 30
Total Workload (Hour) 157
Total Workload / 25 (h) 6,28
ECTS 6 ECTS

Update Time: 23.05.2024 10:29