FACULTY OF ENGINEERING
CHEMICAL ENGINEERING
Course Name   NUMERICAL ANALYSIS
Semester Course Code Theoretical / Practice time ECTS
4 1216401 3,00 / 0,00 5,00
Course Degree Bachelor's degree
Course Language Turkish
Format of Delivery: Face to Face
Course Coordinator Dr. Onur Karaoğlu
Coordinator e-mail okaraoglu selcuk.edu.tr
Instructors
Asistant Instructors
Course Objectives The purpose of this course was to apply them to the problem by introducing the relevant numerical methods and concepts in solving the problems which have been generated in consequence of the process engineering and modelled with the mathematical concepts. For this purpose, Matlab from required computer programming tools and, in addition to this, Visual Basic applications integrated with Excel are included in the solution process.
Basic Sciences Engineering Scinces Social Sciences Educational Sciences Artistic sciences Medical Science Agricultural sciences
60 40 0 0 0 0 0
Course Learning Methods and Techniquies
Face to face expression - Homework - Application
Week Course Content Resource
1 Mathematical Modelling and Engineering Problem Solving, Conservation Laws and Engineering Chapra, S.C., Canale, R.P., 2009, Numerical Methods for Engineers. The McGraw-Hills Companies, New York, USA
2 Programming and Software Chapra, S.C., Canale, R.P., 2009, Numerical Methods for Engineers. The McGraw-Hills Companies, New York, USA
3 Programming and Software Chapra, S.C., Canale, R.P., 2009, Numerical Methods for Engineers. The McGraw-Hills Companies, New York, USA
4 Approximations and Round-Off Errors Chapra, S.C., Canale, R.P., 2009, Numerical Methods for Engineers. The McGraw-Hills Companies, New York, USA
5 Truncations Errors and the Taylor Series Chapra, S.C., Canale, R.P., 2009, Numerical Methods for Engineers. The McGraw-Hills Companies, New York, USA
6 Roots of Equations, Bracketing Methods- Graphical Methods, The Bisection Method Chapra, S.C., Canale, R.P., 2009, Numerical Methods for Engineers. The McGraw-Hills Companies, New York, USA
7 Roots of Equations, Bracketing Methods-The False-Position Method, Incremental Searches Chapra, S.C., Canale, R.P., 2009, Numerical Methods for Engineers. The McGraw-Hills Companies, New York, USA
8 Roots of Equations, Open Methods-Simple Fixed-Point Iteration, Newton-Raphson Method Chapra, S.C., Canale, R.P., 2009, Numerical Methods for Engineers. The McGraw-Hills Companies, New York, USA
9 Roots of Equations, Open Methods-The Secant Method, Multiple Roots, System of Nonlinear Equations Chapra, S.C., Canale, R.P., 2009, Numerical Methods for Engineers. The McGraw-Hills Companies, New York, USA
10 Mid-term Exam
11 Linear Algebraic Equations-Naive Gauss Elimination Chapra, S.C., Canale, R.P., 2009, Numerical Methods for Engineers. The McGraw-Hills Companies, New York, USA
12 LU Decomposition, Special Matrices and Gauss-Seidel Chapra, S.C., Canale, R.P., 2009, Numerical Methods for Engineers. The McGraw-Hills Companies, New York, USA
13 Curve Fitting-Least-Squares Regression Chapra, S.C., Canale, R.P., 2009, Numerical Methods for Engineers. The McGraw-Hills Companies, New York, USA
14 Interpolation Chapra, S.C., Canale, R.P., 2009, Numerical Methods for Engineers. The McGraw-Hills Companies, New York, USA
15 Runge-Kutta Methods Chapra, S.C., Canale, R.P., 2009, Numerical Methods for Engineers. The McGraw-Hills Companies, New York, USA
16 Final Exam
Assesment Criteria   Mid-term exam Final exam
  Quantity Percentage Quantity Percentage  
Term Studies : - - - -
Attendance / Participation : - - - -
Practical Exam : - - - -
Special Course Exam : - - - -
Quiz : - - - -
Homework : - - - -
Presentations and Seminars : - - - -
Projects : - - - -
Workshop / Laboratory Applications : - - - -
Case studies : - - - -
Field Studies : - - - -
Clinical Studies : - - - -
Other Studies : - - - -
Mid-term exam   1 40 - -
Final exam   - - 1 60
ECTS WORK LOAD TABLE   Number Duration
Course Duration : 14 3
Classroom Work Time : 14 4
Presentations and Seminars : - -
Course Internship : - -
Workshop / Laboratory Applications : - -
Field Studies : - -
Case studies : - -
Projects : - -
Homework : 12 4
Quiz : - -
Mid-term exam : 1 2
Final Exam : 1 2
ECTS 5
No COURSE LEARNING OUTCOMES CONTRIBUTION
D.Ö.Ç. 1 To be able to make comparison the numerical solution with the analytical solution to an engineering problem 3
D.Ö.Ç. 2 To have information about programming and software issues and to perform the solution algorithm at the flowts level 4
D.Ö.Ç. 3 To be able to explain the concepts of approximation, significant digits and error types 3
D.Ö.Ç. 4 To understand the Taylor series expansion and to be able to control the errors that have occurred throughout the approximation 3
D.Ö.Ç. 5 To know, in a detailed manner, numerical methods needed to find approximate solutions of linear and non-linear equations and systems of equations and to apply them 4
D.Ö.Ç. 6 To employ a variety of numerical methods for solving the differential equations 4
* 1: Zayıf - 2: Orta - 3: İyi - 4: Çok İyi
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