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 | |
|---|---|
| Major Area Courses | |
| Supportive Courses | X |
| 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 | Possesses sufficient knowledge in mathematics, science, and chemistry engineering-specific subjects, and gains the ability to apply theoretical and practical knowledge in these areas to complex engineering problems. | X | ||||
| 2 | Gains the ability to identify, define, formulate, and solve complex chemical engineering problems; selects and applies appropriate analysis and modeling methods for these purposes. | X | ||||
| 3 | Gains the ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; applies modern design methods for this purpose. | X | ||||
| 4 | Develops, selects, and uses modern techniques and tools necessary for the analysis and solution of complex problems encountered in chemical engineering applications; uses information technologies effectively. | X | ||||
| 5 | Designs experiments, conducts experiments, collects data, analyzes results, and interprets them for the investigation of complex engineering problems or research topics specific to the chemical engineering discipline. | X | ||||
| 6 | Gaining the ability to work efficiently in inter-, intra-, and multi-disciplinary teams; the ability to work individually. | X | ||||
| 7 | Communicates effectively in both spoken and written Turkish and gains proficiency in at least one foreign language. Writes effective reports, understands written reports, and prepares design and production reports. Gains the ability to make effective presentations and give and receive clear and understandable instructions. | X | ||||
| 8 | Gains awareness of the necessity of lifelong learning; accesses information, follows developments in science and technology, and continuously renews themselves. | X | ||||
| 9 | Acts in accordance with ethical principles, gains awareness of professional and ethical responsibilities; acquires knowledge of the standards used in chemical engineering practices. | X | ||||
| 10 | Gains knowledge about business practices such as project management, risk management, and change management. Has an understanding of entrepreneurship and innovation, and is knowledgeable about sustainable development. | X | ||||
| 11 | Has knowledge of the impacts of chemical engineering practices on health, environment, and safety at universal and societal levels, as well as the issues reflected in the engineering field of the era. Is aware of the legal implications of engineering solutions. | |||||
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 | ||