TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| INDUSTRIAL ENGINEERING PR. | |
| Code | ENM252 |
| Name | Numerical Analysis |
| Term | 2020-2021 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Uzaktan 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 calculate root / roots of a function. |
| LO03 | solve linear system of equations. |
| LO04 | find the inverse of the matrix |
| LO05 | calculate determinant |
| LO06 | calculate approximate valuation of polynomials |
| LO07 | calculate numerical integration |
| LO08 | examine the errors in the calculations made. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Adequate knowledge in mathematics, science and related engineering discipline; ability to use theoretical and practical knowledge in these areas in complex engineering problems. | 4 |
| PLO02 | - | An ability to identify, formulate, and solve complex industrial engineering problems; the ability to select and apply appropriate analysis and modeling methods for this purpose. | 4 |
| PLO03 | - | An ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. | 0 |
| PLO04 | - | Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in engineering applications; ability to use information technologies effectively. | 1 |
| PLO05 | - | Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or discipline-specific research topics. | 1 |
| PLO06 | - | Ability to work effectively in disciplinary and multidisciplinary teams; self-study skills. | 4 |
| PLO07 | - | Ability to communicate effectively in Turkish presentation and in writing; knowledge of at least one foreign language; Ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give clear and understandable instruction and receiving skills. | 1 |
| PLO08 | - | Awareness of the necessity of lifelong learning; the ability to access information, follow developments in science and technology, and constantly renew oneself. | 1 |
| PLO09 | - | To act in accordance with ethical principles, professional and ethical responsibility awareness; information about standards used in engineering applications. | 3 |
| PLO10 | - | Information on business practices such as project management, risk management and change management; awareness about entrepreneurship and innovation; information on sustainable development. | 1 |
| PLO11 | - | Information about the effects of engineering applications on health, environment and safety in universal and social dimensions and the problems reflected in the engineering field of the age; awareness of the legal consequences of engineering solutions. | 1 |
| PLO12 | - | Ability to make use of the power of effective communication in professional life, to interpret the developments correctly and to make decisions. | 3 |
| PLO13 | - | Ability to design, develop, implement and improve integrated systems including machinery, time, information and money. | 0 |
| PLO14 | - | Ability to design, develop, implement and improve complex product, process, business, system design by applying modern design methods under realistic conditions and constraints such as cost, environment, sustainability, productivity, ethics, health, safety and political issues. | 0 |
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 | Mid-Term Exam | ||
| 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 | Term Exams | ||
| 17 | Term Exams |
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 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 6 | 6 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 78 | ||
| Total Workload / 25 (h) | 3,12 | ||
| ECTS | 3 ECTS | ||