Mechanical Engineering (English) | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | MATH220 | ||||||||
Course Name: | Numerical Methods | ||||||||
Course Semester: | Spring | ||||||||
Course Credits: |
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Language of instruction: | EN | ||||||||
Course Requisites: |
MATH113 - Mathematics I |
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Does the Course Require Work Experience?: | No | ||||||||
Type of course: | Compulsory | ||||||||
Course Level: |
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Mode of Delivery: | Face to face | ||||||||
Course Coordinator : | Dr.Öğr.Üyesi MESERET TUBA GÜLPINAR | ||||||||
Course Lecturer(s): |
Dr.Öğr.Üyesi MESERET TUBA GÜLPINAR |
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Course Assistants: |
Course Objectives: | To provide the student with numerical methods of solving the non-linear equations, interpolation, differentiation, integration and differential equations. To improve the student’s skills in numerical methods by using the numerical analysis software and computer facilities. |
Course Content: | This course is designated to provide the necessary knowledge and skills in analysis of numerical methods to investigate numerical errors, Taylor’s theorem, numerical solutions of linear and nonlinear equations, interpolation and curve fitting methods, numerical differentiation and integration, numerical solutions of differential equations. |
The students who have succeeded in this course;
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Week | Subject | Related Preparation |
1) | • Introduction to basic concepts in numerical analysis • A brief review of numerical methods and application areas • Mathematical preliminaries, error analysis • Numerical errors • Taylor's theorem | |
2) | Root Finding Methods | Lecture Notes |
3) | Root Finding Methods | Lecture Notes |
4) | Solutions of the systems of linear equations | Lecture Notes |
5) | Solutions of the Systems of Linear Equations | Lecture Notes |
6) | Curve Fitting Methods | Lecture Notes |
7) | Curve Fitting Methods | Lecture Notes |
8) | Curve Fitting Methods | Lecture Notes |
9) | ||
10) | Numerical Differentiation | Lecture Notes |
11) | Numerical Differentiation and Integration | Lecture Notes |
12) | Numerical Integration | Lecture Notes |
13) | Numerical Solutions of the Ordinary Differential Equations | Lecture Notes |
14) | Numerical Solutions of the Ordinary Differential Equations | Lecture Notes |
Course Notes / Textbooks: | Burden and Faires, Numerical Analysis (10th. Ed.) 2015 |
References: | Lecture notes Ders notu |
Learning Outcomes | 1 |
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Program Outcomes | ||||||||||||
1) Sufficient knowledge in mathematics, science and engineering related to their branches; and the ability to apply theoretical and practical knowledge in these areas to model and solve engineering problems. | ||||||||||||
2) The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modeling methods for this purpose. | ||||||||||||
3) The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. (Realistic constraints and conditions include such issues as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, according to the nature of design.) | ||||||||||||
4) Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively. | ||||||||||||
5) Ability to design experiments, conduct experiments, collect data, analyze and interpret results to examine engineering problems or discipline-specific research topics. | ||||||||||||
6) The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill. | ||||||||||||
7) Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge; 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 need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant self-renewal. | ||||||||||||
9) Conform to ethical principles, and standards of professional and ethical responsibility; be informed about the standards used in engineering applications. | ||||||||||||
10) Awareness of applications in business, such as project management, risk management and change management; awareness of entrepreneurship, and innovation; information about sustainable development. | ||||||||||||
11) The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill. | ||||||||||||
12) In order to gain depth at least one, physics knowledge based on chemistry knowledge and mathematics; advanced mathematical knowledge, including multivariable mathematical and differential equations; familiarity with statistics and linear algebra. | ||||||||||||
13) The ability to work in both thermal and mechanical systems, including the design and implementation of such systems. |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Sufficient knowledge in mathematics, science and engineering related to their branches; and the ability to apply theoretical and practical knowledge in these areas to model and solve engineering problems. | 4 |
2) | The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modeling methods for this purpose. | |
3) | The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. (Realistic constraints and conditions include such issues as economy, environmental issues, sustainability, manufacturability, ethics, health, safety, social and political issues, according to the nature of design.) | |
4) | Ability to develop, select and use modern techniques and tools necessary for engineering applications; ability to use information technologies effectively. | |
5) | Ability to design experiments, conduct experiments, collect data, analyze and interpret results to examine engineering problems or discipline-specific research topics. | |
6) | The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill. | |
7) | Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge; 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 need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant self-renewal. | |
9) | Conform to ethical principles, and standards of professional and ethical responsibility; be informed about the standards used in engineering applications. | |
10) | Awareness of applications in business, such as project management, risk management and change management; awareness of entrepreneurship, and innovation; information about sustainable development. | |
11) | The ability to work effectively in disciplinary and multidisciplinary teams; individual work skill. | |
12) | In order to gain depth at least one, physics knowledge based on chemistry knowledge and mathematics; advanced mathematical knowledge, including multivariable mathematical and differential equations; familiarity with statistics and linear algebra. | |
13) | The ability to work in both thermal and mechanical systems, including the design and implementation of such systems. |
Lesson | |
Homework | |
Problem Solving | |
Q&A / Discussion |
Written Exam (Open-ended questions, multiple choice, true-false, matching, fill in the blanks, sequencing) | |
Homework |
Semester Requirements | Number of Activities | Level of Contribution |
Midterms | 2 | % 50 |
Final | 1 | % 50 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 50 | |
PERCENTAGE OF FINAL WORK | % 50 | |
total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 15 | 4 | 60 |
Homework Assignments | 4 | 6 | 24 |
Midterms | 2 | 10 | 20 |
Final | 1 | 16 | 16 |
Total Workload | 120 |