Geomatic Engineering | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | MAT215 | ||||||||
Course Name: | Matematik III | ||||||||
Course Semester: | Fall | ||||||||
Course Credits: |
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Language of instruction: | |||||||||
Course Requisites: |
MAT113 - Matematik 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): |
Prof. Dr. SEZGİN SEZER Dr.Öğr.Üyesi MESERET TUBA GÜLPINAR Prof. Dr. İBRAHİM ALİNUR BÜYÜKAKSOY Prof. Dr. HASAN ÖZEKES Prof. Dr. İLYAS AKHİSAR |
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Course Assistants: |
Course Objectives: | The aim of this course to understand basic concepts of linear algebra ( systems of linear equations and their solutions, the operations of the matrix and vector algebra, evaluations of the determinants and inverse matrix, properties of determinants, Cramer’s Rule, vector spaces, subspaces, linear independence, basis, row space, column space, null space, rank, linear transformations, eigenvalues and eigenvectors, diagonalization, inner product spaces, orthogonality, Gram-Schmidt process, least squares, orthogonal diagonalization and singular value decomposition) and solve problems about it. |
Course Content: | This course will investigate systems of linear equations and their solutions, the operations of the matrix and vector algebra, evaluations of the determinants and inverse matrix, properties of determinants, Cramer’s Rule, vector spaces, subspaces, linear independence, basis, row space, column space, null space, rank, linear transformations, eigenvalues and eigenvectors, diagonalization, inner product spaces, orthogonality, Gram-Schmidt process, least squares, orthogonal diagonalization and singular value decomposition. |
The students who have succeeded in this course;
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Week | Subject | Related Preparation |
1) | Syllabus. Systems of linear equations. Elementary row operations. Gauss-Jordan Elimination | Lecture Notes |
2) | Matrix Algebra | Lecture Notes |
3) | Matrix Algebra | Lecture Notes |
4) | Determinants | Lecture Notes |
5) | Determinants | Lecture Notes |
Course Notes / Textbooks: | Linear Algebra and Its Applications, 5th Edition David C. Lay, Stephan R. Lay, Judi J. McDonald Pearson Education Limited |
References: | Lecture notes - Ders notları |
Learning Outcomes | 1 |
2 |
3 |
4 |
5 |
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Program Outcomes | ||||||||||
1) Awareness of professional and ethical responsibility. | ||||||||||
2) Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems. | ||||||||||
3) Ability to communicate effectively i Turkish, both orally and in writing; knowledge of a minimum of one foreign language. | ||||||||||
4) Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development. | ||||||||||
5) Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety isuues, and social and political issues according to the nature of the design.) | ||||||||||
6) Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | ||||||||||
7) Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively. | ||||||||||
8) Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose. | ||||||||||
9) Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions. | ||||||||||
10) Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. | ||||||||||
11) Ability to design and conduct experiments, gather data, analyse and interpret results for investigating engineering problems. |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | Awareness of professional and ethical responsibility. | 5 |
2) | Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied information in these areas to model and solve engineering problems. | 4 |
3) | Ability to communicate effectively i Turkish, both orally and in writing; knowledge of a minimum of one foreign language. | 3 |
4) | Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development. | |
5) | Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way so as to meet the desired result; ability to apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety isuues, and social and political issues according to the nature of the design.) | |
6) | Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | |
7) | Ability to devise, select, and use modern techniques and tools needed for engineering practice; ability to employ information technologies effectively. | |
8) | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose. | |
9) | Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of engineering solutions. | |
10) | Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. | |
11) | Ability to design and conduct experiments, gather data, analyse and interpret results for investigating engineering problems. |
Lesson | |
Reading | |
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 |
Homework Assignments | 5 | % 20 |
Midterms | 2 | % 40 |
Final | 1 | % 40 |
total | % 100 | |
PERCENTAGE OF SEMESTER WORK | % 60 | |
PERCENTAGE OF FINAL WORK | % 40 | |
total | % 100 |
Activities | Number of Activities | Duration (Hours) | Workload |
Course Hours | 15 | 4 | 60 |
Study Hours Out of Class | 15 | 3 | 45 |
Homework Assignments | 5 | 5 | 25 |
Midterms | 2 | 10 | 20 |
Final | 1 | 15 | 15 |
Total Workload | 165 |