ECTS - Linear Algebra
Linear Algebra (MATH275) Course Detail
Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
---|---|---|---|---|---|---|---|
Linear Algebra | MATH275 | 3. Semester | 4 | 0 | 0 | 4 | 6 |
Pre-requisite Course(s) |
---|
N/A |
Course Language | English |
---|---|
Course Type | Compulsory Departmental Courses |
Course Level | Bachelor’s Degree (First Cycle) |
Mode of Delivery | Face To Face |
Learning and Teaching Strategies | Lecture, Question and Answer, Drill and Practice. |
Course Lecturer(s) |
|
Course Objectives | This course is designed to enrich the knowledge of engineering students in linear algebra, and to teach them the basics and application of the methods for the solution of linear systems occurring in engineering problems. |
Course Learning Outcomes |
The students who succeeded in this course;
|
Course Content | Linear equations and matrices, real vector spaces, inner product spaces, linear transformations and matrices, determinants, eigenvalues and eigenvectors. |
Weekly Subjects and Releated Preparation Studies
Week | Subjects | Preparation |
---|---|---|
1 | Systems of Linear Equations, Matrices, Matrix Multiplication, Algebraic Properties of Matrix Operations | pp. 1-39 |
2 | Special Types of Matrices and Partitioned Matrices, Echelon Form of a Matrix, Solving Linear Systems | pp. 42-49, 86-93, 95-103, 111-113 |
3 | Elementary Matrices; Finding Inverses, Equivalent Matrices | pp. 117-124, 126-129 |
4 | Determinants, Properties of Determinants, Cofactor Expansion | pp. 141-145, 146-154, 157-163 |
5 | Inverse of a Matrix (via Its Determinant), Other Applications of Determinants (Cramer’s Rule) | pp. 165-168, 169-172 |
6 | Vectors in the Plane and In 3-D Space, Vector Spaces, Subspaces | pp. 177-186, 188-196, 197-203 |
7 | Span, Linear Independence, Basis and Dimension | pp. 209-214, 216-226, 229-241 |
8 | Homogeneous Systems, Coordinates and Isomorphism, Rank of a Matrix | pp. 244-250, 253-266, 270-281 |
9 | Inner Product Spaces, Gram-Schmidt Process | pp. 290-296, 307-317, 320-329 |
10 | Orthogonal Complements, Linear Transformations and Matrices | pp. 332-343, 363-372 |
11 | Kernel and Range of a Linear Transformation | pp. 375-387 |
12 | Matrix of a Linear Transformation | pp. 389-397 |
13 | Eigenvalues and Eigenvectors | pp. 436-449 |
14 | Diagonalization and Similar Matrices, Diagonalization of Symmetric Matrices | pp. 453-461, 463-472 |
15 | General Review | |
16 | Final Exam |
Sources
Course Book | 1. Elementary Linear Algebra, B. Kolman and D.R. Hill, 9th Edition, Prentice Hall, New Jersey, 2008 |
---|---|
Other Sources | 2. Linear Algebra, S. H. Friedberg, A. J. Insel, L. E. Spence, Prentice Hall, New Jersey, 1979 |
3. Basic Linear Algebra, Cemal Koç, Matematik Vakfı Yay., Ankara, 1996 |
Evaluation System
Requirements | Number | Percentage of Grade |
---|---|---|
Attendance/Participation | - | - |
Laboratory | - | - |
Application | - | - |
Field Work | - | - |
Special Course Internship | - | - |
Quizzes/Studio Critics | - | - |
Homework Assignments | - | - |
Presentation | - | - |
Project | - | - |
Report | - | - |
Seminar | - | - |
Midterms Exams/Midterms Jury | 2 | 60 |
Final Exam/Final Jury | 1 | 40 |
Toplam | 3 | 100 |
Percentage of Semester Work | 60 |
---|---|
Percentage of Final Work | 40 |
Total | 100 |
Course Category
Core Courses | X |
---|---|
Major Area Courses | |
Supportive Courses | |
Media and Managment Skills Courses | |
Transferable Skill Courses |
The Relation Between Course Learning Competencies and Program Qualifications
# | Program Qualifications / Competencies | Level of Contribution | ||||
---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | ||
1 | Gains adequate knowledge of mathematics, physical sciences and the subjects specific to engineering disciplines; gains the ability to apply theoretical and practical knowledge of these areas in the solution of complex engineering problems. | X | ||||
2 | Gains the ability to define, formulate, and solve complex engineering problems; gains the ability to select and apply proper analysis and modeling methods for this purpose. | |||||
3 | Gains the ability to design a complex system, process, device or product under realistic constraints and conditions in such a way as to meet the specific requirements; gains the ability to apply modern design methods for this purpose. | |||||
4 | Gains the ability to select, and use modern techniques and tools needed to analyze and solve complex problems encountered in engineering practices; gains the ability to use information technologies effectively. | |||||
5 | Gains the ability to design experiments, conduct experiments, gather data, and analyze and interpret results for investigating complex engineering problems or research areas specific to engineering disciplines. | |||||
6 | Gains the ability to work efficiently in inter-, intra-, and multi-disciplinary teams; gains the ability to work individually. | |||||
7 | (a) Gains effective oral and written communication skills; gains the ability to write a report properly, understand previously written reports, prepare design and manufacturing reports, deliver influential presentations, give unequivocal instructions, and carry out the instructions properly. (b) Gains the knowledge of, at least, one foreign language; gains the ability to write a report properly, understand previously written reports, prepare design and manufacturing reports, deliver influential presentations, give unequivocal instructions, and carry out the instructions properly in this foreign language. | |||||
8 | Gains awareness of the need for lifelong learning; gains the ability to access information, follow developments in science and technology, and adapt and excel oneself continuously. | |||||
9 | Gains knowledge about acting in conformity with the ethical principles, professional and ethical responsibility and knowledge of the standards employed in engineering applications. | |||||
10 | Gains knowledge of business practices such as project management, risk management, and change management; gains awareness of entrepreneurship and innovation; knowledge of sustainable development. | |||||
11 | Gains knowledge of the global and social effects of engineering practices on health, environment, and safety issues, and knowledge of the contemporary issues in engineering areas; gains awareness of the possible legal consequences of engineering practices. | |||||
12 | (a) Gains knowledge of (i) fluid mechanics, (ii) heat transfer, (iii) manufacturing process, (iv) electronics and control, (v) vehicle components design, (vi) vehicle dynamics, (vii) vehicle propulsion/drive and power systems, (viii) technical laws and regulations in automotive engineering field, and (ix) vehicle verification tests. (b) Gains the ability to merge and apply these knowledge in solving multi-disciplinary automotive problems. | |||||
13 | Gains the ability to make use of theoretical, experimental, and simulation methods, and computer aided design techniques in automotive engineering field. | |||||
14 | Gains he ability to work in the field of vehicle design and manufacturing. |
ECTS/Workload Table
Activities | Number | Duration (Hours) | Total Workload |
---|---|---|---|
Course Hours (Including Exam Week: 16 x Total Hours) | |||
Laboratory | |||
Application | |||
Special Course Internship | |||
Field Work | |||
Study Hours Out of Class | 14 | 4 | 56 |
Presentation/Seminar Prepration | |||
Project | |||
Report | |||
Homework Assignments | |||
Quizzes/Studio Critics | |||
Prepration of Midterm Exams/Midterm Jury | 2 | 10 | 20 |
Prepration of Final Exams/Final Jury | 1 | 10 | 10 |
Total Workload | 86 |