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 | Natural & Applied Sciences Master's Degree |
| 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 | An ability to apply advanced knowledge of computing and/or informatics to solve software engineering problems. | |||||
| 2 | Develop solutions using different technologies, software architectures and life-cycle approaches. | |||||
| 3 | An ability to design, implement and evaluate a software system, component, process or program by using modern techniques and engineering tools required for software engineering practices. | |||||
| 4 | An ability to gather/acquire, analyze, interpret data and make decisions to understand software requirements. | |||||
| 5 | Skills of effective oral and written communication and critical thinking about a wide range of issues arising in the context of working constructively on software projects. | |||||
| 6 | An ability to access information in order to follow recent developments in science and technology and to perform scientific research or implement a project in the software engineering domain. | |||||
| 7 | An understanding of professional, legal, ethical and social issues and responsibilities related to Software Engineering. | |||||
| 8 | Skills in project and risk management, awareness about importance of entrepreneurship, innovation and long-term development, and recognition of international standards of excellence for software engineering practices standards and methodologies. | |||||
| 9 | An understanding about the impact of Software Engineering solutions in a global, environmental, societal and legal context while making decisions. | |||||
| 10 | Promote the development, adoption and sustained use of standards of excellence for software engineering practices. | |||||
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 | ||