FACULTY OF ENGINEERING

Department of Computer Engineering

SE 366 | Course Introduction and Application Information

Course Name
Numerical Analysis
Code
Semester
Theory
(hour/week)
Application/Lab
(hour/week)
Local Credits
ECTS
SE 366
Fall/Spring
3
0
3
8

Prerequisites
None
Course Language
English
Course Type
Service Course
Course Level
First Cycle
Mode of Delivery -
Teaching Methods and Techniques of the Course -
Course Coordinator
Course Lecturer(s)
Assistant(s) -
Course Objectives This course is an introduction level overview to the numerical analysis. The primary objective of the course is to develop the understanding of numerical algorithms and skills to implement algorithms to solve mathematical problems.
Learning Outcomes The students who succeeded in this course;
  • be able to create solutions for both linear and non-linear problems
  • be able to use iterative approaches to analyze complex problems
  • be able to produce proper algorithms to solve complex problems
  • be able to apply numerical methods to real world engineering applications.
Course Description Floating point arithmetic, computational linear algebra, iterative solution to nonlinear equations, interpolation, numerical solutions

 



Course Category

Core Courses
Major Area Courses
Supportive Courses
Media and Management Skills Courses
Transferable Skill Courses

 

WEEKLY SUBJECTS AND RELATED PREPARATION STUDIES

Week Subjects Related Preparation
1 Introduction, Errors, Round off Algorithm, Errors of numerical results Part-1; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
2 Programming with MATLAB Part-1; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
3 Solution of nonlinear equations : Graphics method, Bisection Method, Secant Method Part-2; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
4 Solution of nonlinear equations: Functional iteration method, Newton-Raphson’s method Part-2; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
5 Solution of linear equation systems: Matrix calculations, Gauss elimination method, Pivoting Part-3; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
6 LU factorization, Cholesky factorization, QR factorization Part-3; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
7 Curve fitting: Lineer Regression, Least squares method Part-4; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
8 Curve fitting: Non-Lineer Regression Part-4; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
9 Midterm -
10 Numerical differentiation Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
11 Numerical integration Part-5; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
12 Approximate solutions of differential equations: initial value problems Part-6; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
13 Approximate solutions of differential equations: boundary value problems Part-6; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
14 Approximate solutions of differential equations, review of topics. Part-6; Applied Numerical Methods with MATLAB for Engineers and Scientists, Steven C. Chapra
15 Semester Review
16 Final Exam

 

Course Notes/Textbooks

Steven, C. Chapra. Applied Numerical Methods With Matlab: For Engineers And Scientists. Tata McGraw Hill Education Private Limited, 2007

Suggested Readings/Materials

Numerical Methods using MATLAB by Mathews and Fink, Pearson, 2004

 

EVALUATION SYSTEM

Semester Activities Number Weigthing
Participation
Laboratory / Application
Field Work
Quizzes / Studio Critiques
Portfolio
Homework / Assignments
Presentation / Jury
Project
Seminar / Workshop
Oral Exams
Midterm
2
60
Final Exam
1
40
Total

Weighting of Semester Activities on the Final Grade
3
60
Weighting of End-of-Semester Activities on the Final Grade
1
40
Total

ECTS / WORKLOAD TABLE

Semester Activities Number Duration (Hours) Workload
Theoretical Course Hours
(Including exam week: 16 x total hours)
16
3
48
Laboratory / Application Hours
(Including exam week: '.16.' x total hours)
16
0
Study Hours Out of Class
16
4
64
Field Work
0
Quizzes / Studio Critiques
0
Portfolio
0
Homework / Assignments
1
18
18
Presentation / Jury
0
Project
0
Seminar / Workshop
0
Oral Exam
0
Midterms
2
30
60
Final Exam
1
50
50
    Total
240

 

COURSE LEARNING OUTCOMES AND PROGRAM QUALIFICATIONS RELATIONSHIP

#
Program Competencies/Outcomes
* Contribution Level
1
2
3
4
5
1

To have adequate knowledge in Mathematics, Science and Computer Engineering; to be able to use theoretical and applied information in these areas on complex engineering problems.

X
2

To be able to identify, define, formulate, and solve complex Computer Engineering problems; to be able to select and apply proper analysis and modeling methods for this purpose.

X
3

To be able to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the requirements; to be able to apply modern design methods for this purpose.

4

To be able to devise, select, and use modern techniques and tools needed for analysis and solution of complex problems in Computer Engineering applications; to be able to use information technologies effectively.

5

To be able to design and conduct experiments, gather data, analyze and interpret results for investigating complex engineering problems or Computer Engineering research topics.

6

To be able to work efficiently in Computer Engineering disciplinary and multi-disciplinary teams; to be able to work individually.

7

To be able to communicate effectively in Turkish, both orally and in writing; to be able to author and comprehend written reports, to be able to prepare design and implementation reports, to present effectively, to be able to give and receive clear and comprehensible instructions.

8

To have knowledge about global and social impact of Computer Engineering practices on health, environment, and safety; to have knowledge about contemporary issues as they pertain to engineering; to be aware of the legal ramifications of Computer Engineering solutions.

9

To be aware of ethical behavior, professional and ethical responsibility; to have knowledge about standards utilized in engineering applications.

10

To have knowledge about industrial practices such as project management, risk management, and change management; to have awareness of entrepreneurship and innovation; to have knowledge about sustainable development.

11

To be able to collect data in the area of Computer Engineering, and to be able to communicate with colleagues in a foreign language. ("European Language Portfolio Global Scale", Level B1)

12

To be able to speak a second foreign language at a medium level of fluency efficiently.

13

To recognize the need for lifelong learning; to be able to access information, to be able to stay current with developments in science and technology; to be able to relate the knowledge accumulated throughout the human history to Computer Engineering.

*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest

 


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