1. FIRST CYCLE - BACHELOR'S DEGREE
  2. FACULTY OF ENGINEERING
  3. COMPUTER ENGINEERING DEPARTMENT
  4. 253 Computer Engineering
Course Information Course Learning Outcomes Course's Contribution To Program ECTS Workload Course Details
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COURSE INFORMATION
Course CodeCourse TitleL+P HourSemesterECTS
CENG 235NUMERICAL ANALYSIS WITH ALGORITHMS 3 + 03rd Semester5

COURSE DESCRIPTION
Course Level Bachelor's Degree
Course Type Compulsory
Course Objective To teach the basic concepts of numerical analysis and numerical analysis methods to be used in solving computer science problems with algorithms. To apply algorithms of numerical analysis methods on a computer with a programming language.
Course Content The representation of number in computer system, Approximations and Errors, Solution methods of nonlinear equations, Interpolation and polynomial approach, Curve fitting, Numerical derivative, Numerical integral, Software Applications.
Prerequisites No the prerequisite of lesson.
Corequisite No the corequisite of lesson.
Mode of Delivery Face to Face

COURSE LEARNING OUTCOMES
1Knows the basic concepts of numerical analysis.
2Makes error analysis.
3Calculates the roots of nonlinear equations.
4Solves computer science problems with numerical analysis concepts.
5Calculates the numerical derivative and integral.
6Designs effective algorithms with numerical analysis concepts.
7Solves problems in different disciplines with numerical analysis methods.

COURSE'S CONTRIBUTION TO PROGRAM
PO 01PO 02PO 03PO 04PO 05PO 06PO 07PO 08PO 09PO 10PO 11PO 12
LO 001            
LO 002            
LO 003            
LO 004            
LO 005            
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LO 007            
Sub Total            
Contribution000000000000

ECTS ALLOCATED BASED ON STUDENT WORKLOAD BY THE COURSE DESCRIPTION
ActivitiesQuantityDuration (Hour)Total Work Load (Hour)
Course Duration (14 weeks/theoric+practical)14342
Hours for off-the-classroom study (Pre-study, practice)14456
Mid-terms11212
Final examination12020
Total Work Load

ECTS Credit of the Course





130

5
COURSE DETAILS
 Select Year   


 Course TermNoInstructors
Details 2023-2024 Fall1TUFAN TURACI
Details 2023-2024 Fall2TUFAN TURACI


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Course Details
Course Code Course Title L+P Hour Course Code Language Of Instruction Course Semester
CENG 235 NUMERICAL ANALYSIS WITH ALGORITHMS 3 + 0 1 Turkish 2023-2024 Fall
Course Coordinator  E-Mail  Phone Number  Course Location Attendance
Prof. Dr. TUFAN TURACI tturaci@pau.edu.tr MUH A0226 %70
Goals To teach the basic concepts of numerical analysis and numerical analysis methods to be used in solving computer science problems with algorithms. To apply algorithms of numerical analysis methods on a computer with a programming language.
Content The representation of number in computer system, Approximations and Errors, Solution methods of nonlinear equations, Interpolation and polynomial approach, Curve fitting, Numerical derivative, Numerical integral, Software Applications.
Topics
WeeksTopics
1 Mathematical Preliminaries, Taylor's theorem and its applications
2 Types of Errors, Computer Arithmetic
3 Solutions of Nonlinear Equations: Simple Iteration Method, Newton-Raphson Method
4 Solutions of Nonlinear Equations: Bisection Method, Regula-Falsi Method
5 Solutions of Nonlinear Equations: Secant Method, Combination of Newton-Raphson and Regula Falsi Methods
6 Simple Iteration Method for Systems of Nonlinear Equations, Newton-Raphson Method for Systems of Nonlinear Equations
7 Solutions of Systems of Linear Equations: Cramer Method, Gaussian Elimination Method, Gauss Jordan Method
8 Solutions of Systems of Linear Equations: Jacobi Iteration Method, Gauss-Sidel Iteration Method
9 Interpolation Methods: Interpolation with Taylor Series, Lagrange Interpolation Method
10 Newton Interpolation Formulas: Newton forward difference approximation, Newton backward difference approximation
11 Numerical Differentiation
12 Numerical Integration
13 Applications of Numerical Differentiation and Numerical Integration
14 Curve Fitting: Least squares method, Linear Regression, Models converted to Linear
Materials
Materials are not specified.
Resources
ResourcesResources Language
Numerical Analysis, Richard L. Burden, Brooks/Cole Cengage Learning, Boston., 2009. English
Numerical Methods for Mathematics, Science, and Engineering, 2nd Edition, John H. Mathews, Prentice Hall International Edition, 1992. English
Nümerik Analiz: Bilimsel Hesaplama Matematiği, (Numerical Analysis, D. Kincaid, W. Cheney, 3rd ed.(2002)), Nuri Özalp, Elif Demirci, Gazi Kitabevi Yayınları, 2012. Türkçe
Bilgisayar Uygulamalı Sayısal Analiz Yöntemleri, Eyüp Sabri Türker, Engin Can, II. Baskı, Değişim Yayınları. Türkçe
Sayısal Analiz ve Mühendislik Uygulamaları, İrfan Karagöz, Nobel Yayıncılık, 2011. Türkçe
Course Assessment
Assesment MethodsPercentage (%)Assesment Methods Title
Final Exam60Final Exam
Midterm Exam40Midterm Exam
L+P: Lecture and Practice
PQ: Program Learning Outcomes
LO: Course Learning Outcomes