TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| INDUSTRIAL ENGINEERING PR. | |
| Code | ENM232 |
| Name | Numerical Analysis |
| Term | 2017-2018 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 2-1 (T-A) (17 Week) |
| ECTS | 5 ECTS |
| National Credit | 2.5 National Credit |
| Teaching Language | Türkçe |
| Level | Üniversite Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. ZEYNEP ÖZKURT |
| Course Instructor |
Prof. Dr. ZEYNEP ÖZKURT
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
to introduce various numerical analysis methods to the students and to solve the mathematical problems in different areas with numerical analysis methods.
Course Content
Solving nonlinear equations, Solving linear equations, interpolation, Numerical integrations
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Numerical solutions can comment on the error source. |
| LO02 | It can calculate root / roots of a function. |
| LO03 | Can solve linear system of equations. |
| LO04 | can find the inverse of the matrix |
| LO05 | Can calculate determinant |
| LO06 | can calculate approximate valuation of polynomials |
| LO07 | Can calculate numerical integration |
| LO08 | can examine the errors in the calculations made. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Has sufficient background on topics related to mathematics, physical sciences and industrial engineering. | |
| PLO02 | - | 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. | |
| PLO03 | - | Gains ability to analyze a service and/or manufacturing system or a process and describes, formulates and solves its problems . | |
| PLO04 | - | Gains ability to choose and apply methods and tools for industrial engineering applications. | |
| PLO05 | - | Can collect and analyze data required for industrial engineering problems ,develops and evaluates alternative solutions. | |
| PLO06 | - | Works efficiently and takes responsibility both individually and as a member of a multi-disciplinary team. | |
| PLO07 | - | Can access information and to search/use databases and other sources for information gathering. | |
| PLO08 | - | Appreciates life time learning; follows scientific and technological developments and renews himself/herself continuously. | |
| PLO09 | - | Can use computer software in industrial engineering along with information and communication technologies. | |
| PLO10 | - | Can use oral and written communication efficiently. | |
| PLO11 | - | Uses English skills to follow developments in industrial engineering and to communicate with people in his/her profession. | |
| PLO12 | - | Has a conscious understanding of professional and ethical responsibilities. | |
| PLO13 | - | Has a necessary consciousness on issues related to job safety and health, legal aspects of environment and engineering practice. | |
| PLO14 | - | Becomes competent on matters related to project management, entrepreneurship, innovation and has knowledge about current matters in industrial engineering. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Meaning and importance of numerical analysis, Number systems and general information about error | Required readings and solving problems | |
| 2 | in Non-Linear Equations Bisection and Newton's Methods, | Required readings and solving problems | |
| 3 | Beams and Bairstow Methods in the Solution of Nonlinear Equations, | Required readings and solving problems | |
| 4 | Linear equation systems, matrix inversion and information about determinants, | Required readings and solving problems | |
| 5 | Gaussian Elimination and Gauss-Jordan Methods in the Solution of Linear Equations, | Required readings and solving problems | |
| 6 | Gauss Destruction and Gauss-Jordan Methods in the Inversion of Matrix Reversal and Determinant, | Required readings and solving problems | |
| 7 | Gauss-Seidel Method for Solution of Linear Equations, | Required readings and solving problems | |
| 8 | Midterm exam and problem solution | ||
| 9 | İnterpolation, Linear interpolation, Lagrange interpolation | Required readings and solving problems | |
| 10 | Divided Differences Interpolation, | Required readings and solving problems | |
| 11 | Differences Interpolation, | Required readings and solving problems | |
| 12 | Back Differences Interpolation, | Required readings and solving problems | |
| 13 | Numerical Integral Calculation Methods, | Required readings and solving problems | |
| 14 | Application of Numerical Integration Calculation Methods to Interval, | Required readings and solving problems | |
| 15 | Exercises | Required readings and solving problems | |
| 16 | Final exam | ||
| 17 | Final exam |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |