ISTINYE UNIVERSITY BİLGİ PAKETİ / DERS KATALOĞU
| Computer Engineering (English) | |||||
| Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 | ||
Course Introduction and Application Information
| Course Code: | MATH213 | ||||
| Course Name: | Numerical Methods for Engineers | ||||
| Semester: | Fall | ||||
| Course Credits: |
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| Language of instruction: | English | ||||
| Course Condition: | |||||
| Does the Course Require Work Experience?: | No | ||||
| Type of course: | Compulsory Courses | ||||
| Course Level: |
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| Mode of Delivery: | Face to face | ||||
| Course Coordinator: | Dr. Öğr. Üy. GÜRSAN ÇOBAN | ||||
| Course Lecturer(s): | Assist. Prof. Dr. GÜRSAN ÇOBAN | ||||
| Course Assistants: |
Course Objective and Content
| Course Objectives: | The course aims to teach the students the implementation of numerical methods for computer-aided solutions to problems that arise in engineering design and analysis. |
| Course Content: | Modeling, computers and error analysis, error accumulation, loss of precision, stability, condition number, roots of nonlinear equations, numerical solutions of linear equation systems (direct/iterative), interpolation (vandermonde, divided differences, spline), curve fitting (linear and nonlinear-regression), numerical derivative, numerical integration, numerical solutions of differential equations, overview of advanced topics in numerical analysis (additional topics) |
Learning Outcomes
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The students who have succeeded in this course;
1) They can perform computer coding of real numbers, function approximation (Taylor) and truncation, condition number analysis and error analysis in the basic computer environment. 2) They can solve the real roots of nonlinear functions or Linear Equation systems of equations in the form Ax=b with direct or iterative solution algorithms. 3) They can derive solver equations to calculate the unknowns of interpolation or statistical regression functions used to model a given data set. 4) They can calculate derivatives, integrals, and solution of first order differential equations numerically. 5) They can predict the convergence, stability, or order of error level of the method. |
Course Flow Plan
| Week | Subject | Related Preparation |
| 1) | Fundamentals, numbers, base concept, scientific notation, programming tools | Chapra CH1, CH2 and Supplementary Slides |
| 2) | Modeling, computers and error analysis (cutting, rounding, Taylor series) | Chapra CH3, CH4 and Supplementary Slides |
| 3) | Numerical solutions of nonlinear equations f(x)=0 | Chapra CH5, CH6 and Supplementary Slides |
| 4) | Numerical approximations for solving systems of algebraic equations A*x=b | Chapra CH9, CH10 and Supplementary Slides |
| 5) | Numerical approximations for solving systems of algebraic equations A*x=b | T.Sauer CH2, CHAPRA CH11 and Supplementary |
| 6) | Interpolation and polynomial approximations 1 | Supplementary Slides |
| 7) | Interpolation and polynomial approximations 2 | Supplementary Slides |
| 8) | Midterm Exam | |
| 9) | Curve fitting (Regression) | Chapra CH17, Supplementary Slides |
| 10) | Numerical derivative | Chapra CH23, Supplementary Slides |
| 11) | Numerical integration 1 | Chapra CH21, Supplementary Slides |
| 12) | Numerical Integration 2 | Chapra CH22, Supplementary Slides |
| 13) | Numerical solution of initial value problems | Chapra CH25 and Supplementary Slides |
| 14) | Additional topics: Finite difference and boundary value problems, Computational approaches to eigenvalue and eigenvector problems of symmetric matrices | Slides |
Sources
| Course Notes / Textbooks: | Steven C. Chapra, Raymond P. Canale, Numerical Methods for Engineers, 7th Edition, McGraw-Hill. |
| References: | Timothy Sauer, Numerical Analysis, 7th Edition, Pearson. Jaan Kiusalaas, Numerical Methods in Engineering with Python 3, Cambridge Unv. Press. (For sample codes) http://nm.mathforcollege.com/NumericalMethodsTextbookUnabridged/ (onlinesource, offline content) |
Course - Program Learning Outcome Relationship
| Course Learning Outcomes | 1 |
2 |
3 |
4 |
5 |
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|---|---|---|---|---|---|---|---|---|---|---|---|
| Program Outcomes | |||||||||||
| 1) Adequate knowledge in mathematics, science, and computer engineering principles, both theoretical and practical, and the ability to apply this knowledge to complex engineering problems. | 3 | 2 | 2 | 2 | 3 | ||||||
| 2) Ability to identify, formulate, and solve complex computer engineering problems using appropriate analysis and modeling techniques. | 2 | 3 | 3 | 3 | 3 | ||||||
| 3) Ability to design and develop complex computer systems, devices, or products that meet specific requirements and operate under realistic constraints and conditions, using modern design methods. | |||||||||||
| 4) Ability to develop, select and use modern techniques and tools used for the analysis and solution of complex computer engineering problems, and the ability to use information technologies effectively. | |||||||||||
| 5) Ability to plan and conduct experiments, collect and analyze data, and interpret results in the study of complex computer engineering problems or research topics. | |||||||||||
| 6) Ability to work effectively within and multidisciplinary teams; individual study skills. | |||||||||||
| 7) Ability to communicate effectively orally 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 and receive clear and understandable instructions. | |||||||||||
| 8) Awareness of the necessity of lifelong learning; ability to access information, to follow developments in science and technology and to renew continuously. | |||||||||||
| 9) To act in accordance with ethical principles, professional and ethical responsibility; information on the standards used in engineering applications. | |||||||||||
| 10) Information on business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; information about sustainable development. | |||||||||||
| 11) Knowledge of the effects of computer engineering practices on health, environment and safety in the universal and social scale and the problems of the era reflected in computer engineering; awareness of the legal consequences of computer engineering solutions. | |||||||||||
Course - Learning Outcome Relationship
| No Effect | 1 Lowest | 2 Average | 3 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | Adequate knowledge in mathematics, science, and computer engineering principles, both theoretical and practical, and the ability to apply this knowledge to complex engineering problems. | 2 |
| 2) | Ability to identify, formulate, and solve complex computer engineering problems using appropriate analysis and modeling techniques. | 3 |
| 3) | Ability to design and develop complex computer systems, devices, or products that meet specific requirements and operate under realistic constraints and conditions, using modern design methods. | |
| 4) | Ability to develop, select and use modern techniques and tools used for the analysis and solution of complex computer engineering problems, and the ability to use information technologies effectively. | |
| 5) | Ability to plan and conduct experiments, collect and analyze data, and interpret results in the study of complex computer engineering problems or research topics. | |
| 6) | Ability to work effectively within and multidisciplinary teams; individual study skills. | |
| 7) | Ability to communicate effectively orally 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 and receive clear and understandable instructions. | |
| 8) | Awareness of the necessity of lifelong learning; ability to access information, to follow developments in science and technology and to renew continuously. | |
| 9) | To act in accordance with ethical principles, professional and ethical responsibility; information on the standards used in engineering applications. | |
| 10) | Information on business practices such as project management, risk management and change management; awareness of entrepreneurship and innovation; information about sustainable development. | |
| 11) | Knowledge of the effects of computer engineering practices on health, environment and safety in the universal and social scale and the problems of the era reflected in computer engineering; awareness of the legal consequences of computer engineering solutions. |
Assessment & Grading
| Semester Requirements | Number of Activities | Level of Contribution |
| Midterms | 1 | % 40 |
| Final | 1 | % 60 |
| total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 40 | |
| PERCENTAGE OF FINAL WORK | % 60 | |
| total | % 100 | |
Workload and ECTS Credit Calculation
| Activities | Number of Activities | Workload |
| Course Hours | 13 | 26 |
| Application | 13 | 26 |
| Study Hours Out of Class | 13 | 26 |
| Midterms | 2 | 15 |
| Final | 2 | 25 |
| Total Workload | 118 | |