COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Numerical Analysis ENM   232 4 2 2.5 5

Prerequisites and co-requisites
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Assoc.Prof.Dr. Zeynep ÖZKURT
Instructors
Doç. Dr.ZEYNEP ÖZKURT1. Öğretim Grup:A
 
Assistants
Goals
to introduce various numerical analysis methods to the students and to solve the mathematical problems in different areas with numerical analysis methods.
Content
Solving nonlinear equations, Solving linear equations, interpolation, Numerical integrations

Learning Outcomes
1) Numerical solutions can comment on the error source.
2) It can calculate root / roots of a function.
3) Can solve linear system of equations.
4) can find the inverse of the matrix
5) Can calculate determinant
6) can calculate approximate valuation of polynomials
7) Can calculate numerical integration
8) can examine the errors in the calculations made.
9)
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Has sufficient background on topics related to mathematics, physical sciences and industrial engineering.
2
Gains ability to use the acquired theoretical knowledge on basic sciences and industrial engineering for describing, formulating and solving an industrial engineering problem, and to choose appropriate analytical and modeling methods.
3
Gains ability to analyze a service and/or manufacturing system or a process and describes, formulates and solves its problems .
4
Gains ability to choose and apply methods and tools for industrial engineering applications.
5
Can collect and analyze data required for industrial engineering problems ,develops and evaluates alternative solutions.
6
Works efficiently and takes responsibility both individually and as a member of a multi-disciplinary team.
7
Can access information and to search/use databases and other sources for information gathering.
8
Appreciates life time learning; follows scientific and technological developments and renews himself/herself continuously.
9
Can use computer software in industrial engineering along with information and communication technologies.
10
Can use oral and written communication efficiently.
11
Uses English skills to follow developments in industrial engineering and to communicate with people in his/her profession.
12
Has a conscious understanding of professional and ethical responsibilities.
13
Has a necessary consciousness on issues related to job safety and health, legal aspects of environment and engineering practice.
14
Becomes competent on matters related to project management, entrepreneurship, innovation and has knowledge about current matters in industrial engineering.

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
1 Meaning and importance of numerical analysis, Number systems and general information about error Required readings and solving problems Lecture
2 in Non-Linear Equations Bisection and Newton's Methods, Required readings and solving problems Lecture
3 Beams and Bairstow Methods in the Solution of Nonlinear Equations, Required readings and solving problems Lecture
4 Linear equation systems, matrix inversion and information about determinants, Required readings and solving problems Lecture
5 Gaussian Elimination and Gauss-Jordan Methods in the Solution of Linear Equations, Required readings and solving problems Lecture
6 Gauss Destruction and Gauss-Jordan Methods in the Inversion of Matrix Reversal and Determinant, Required readings and solving problems Lecture
7 Gauss-Seidel Method for Solution of Linear Equations, Required readings and solving problems Lecture
8 Midterm exam and problem solution Testing
9 İnterpolation, Linear interpolation, Lagrange interpolation Required readings and solving problems Lecture
10 Divided Differences Interpolation, Required readings and solving problems Lecture
11 Differences Interpolation, Required readings and solving problems Lecture
12 Back Differences Interpolation, Required readings and solving problems Lecture
13 Numerical Integral Calculation Methods, Required readings and solving problems Lecture
14 Application of Numerical Integration Calculation Methods to Interval, Required readings and solving problems Lecture
15 Exercises Required readings and solving problems Drilland Practice
16-17 Final exam Testing

Recommended or Required Reading
Textbook
Additional Resources