Mechanical Engineering
Course Details
KTO KARATAY UNIVERSITY
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Mechanical Engineering
Course Details
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Mechanical Engineering
Course Details
| Course Code | Course Name | Year | Period | Semester | T+A+L | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| 99600006 | Linear Algebra | 1 | Spring | 2 | 3+0+0 | 3 | 5 |
| Course Type | Compulsory |
| Course Cycle | Bachelor's (First Cycle) (TQF-HE: Level 6 / QF-EHEA: Level 1 / EQF-LLL: Level 6) |
| Course Language | English |
| Methods and Techniques | Anlatım |
| Mode of Delivery | Face to Face |
| Prerequisites | - |
| Coordinator | - |
| Instructor(s) | Asst. Prof. Nurten URLU ÖZALAN |
| Instructor Assistant(s) | - |
Course Instructor(s)
| Name and Surname | Room | E-Mail Address | Internal | Meeting Hours |
|---|---|---|---|---|
| Asst. Prof. Nurten URLU ÖZALAN | A-130 | [email protected] | 7880 | Friday 10:00-12:00 |
Course Content
Linear equations, systems of linear equations. Types of matrices, algebraic operations with matrices, inverse of a matrix. Determinants. Linear transformations. Vector spaces. Eigenvalues and eigenvectors.
Objectives of the Course
To provide students a good understanding of the concepts and methods of linear algebra. To help the students develop the ability to solve problems using linear algebra. To connect linear algebra to other fields.
Contribution of the Course to Field Teaching
| Basic Vocational Courses | X |
| Specialization / Field Courses | |
| Support Courses | |
| Transferable Skills Courses | |
| Humanities, Communication and Management Skills Courses |
Relationships between Course Learning Outcomes and Program Outcomes
| Relationship Levels | ||||
| Lowest | Low | Medium | High | Highest |
| 1 | 2 | 3 | 4 | 5 |
| # | Program Learning Outcomes | Level |
|---|---|---|
| P1 | Adequate knowledge of mathematics, science and mechanical engineering disciplines; Ability to use theoretical and applied knowledge in these fields in solving complex engineering problems. | 5 |
Course Learning Outcomes
| Upon the successful completion of this course, students will be able to: | |||
|---|---|---|---|
| No | Learning Outcomes | Outcome Relationship | Measurement Method ** |
| O1 | Will be able to perform defined operations on matrices | P.1.42 | 1 |
| O2 | Will be able to apply primitive row and column operations to a matrix and solve systems of linear equations. | P.1.43 | 1 |
| O3 | Will be able to determine whether the matrix is invertible or not and calculate the inverse of the matrix, if any | P.1.44 | 1 |
| O4 | Will learn the concept of determinant. | P.1.45 | 1 |
| ** Written Exam: 1, Oral Exam: 2, Homework: 3, Lab./Exam: 4, Seminar/Presentation: 5, Term Paper: 6, Application: 7 | |||
Weekly Detailed Course Contents
| Week | Topics |
|---|---|
| 1 | Defining matrices and operations on matrices |
| 2 | Matrix types and properties |
| 3 | Row and column operations on matrices |
| 4 | LU decompositions on matrices |
| 5 | Solution methods of systems of equations |
| 6 | Determinant concept |
| 7 | Determinant properties |
| 8 | Matrix terms and methods of finding the inverse |
| 9 | Vectors, Subspaces |
| 10 | Concept of linear transformation |
| 11 | Base, dimension, linear dependence and independence |
| 12 | Orthonormal and orthogonal sets and vectors |
| 13 | Gram-Schmidt method |
| 14 | Eigenvalue-Eigenvector and diagonalization |
Textbook or Material
| Resources | Steven J. Leon, 2002, Linear Algebra with Applications, Pearson Education International, ISBN:0-13-035568 |
Evaluation Method and Passing Criteria
| In-Term Studies | Quantity | Percentage |
|---|---|---|
| Attendance | - | - |
| Laboratory | - | - |
| Practice | - | - |
| Course Specific Internship (If Any) | - | - |
| Homework | - | - |
| Presentation | - | - |
| Projects | - | - |
| Seminar | - | - |
| Quiz | - | - |
| Midterms | 1 | 40 (%) |
| Final Exam | 1 | 60 (%) |
| Total | 100 (%) | |
ECTS / Working Load Table
| Quantity | Duration | Total Work Load | |
|---|---|---|---|
| Course Week Number and Time | 14 | 4 | 56 |
| Out-of-Class Study Time (Pre-study, Library, Reinforcement) | 14 | 3 | 42 |
| Midterms | 1 | 20 | 20 |
| Quiz | 0 | 0 | 0 |
| Homework | 0 | 0 | 0 |
| Practice | 0 | 0 | 0 |
| Laboratory | 0 | 0 | 0 |
| Project | 0 | 0 | 0 |
| Workshop | 0 | 0 | 0 |
| Presentation/Seminar Preparation | 0 | 0 | 0 |
| Fieldwork | 0 | 0 | 0 |
| Final Exam | 1 | 30 | 30 |
| Other | 0 | 0 | 0 |
| Total Work Load: | 148 | ||
| Total Work Load / 30 | 4,93 | ||
| Course ECTS Credits: | 5 | ||
Course - Learning Outcomes Matrix
| Relationship Levels | ||||
| Lowest | Low | Medium | High | Highest |
| 1 | 2 | 3 | 4 | 5 |
| # | Learning Outcomes | P1 |
|---|---|---|
| O1 | Will be able to perform defined operations on matrices | 5 |
| O2 | Will be able to apply primitive row and column operations to a matrix and solve systems of linear equations. | 5 |
| O3 | Will be able to determine whether the matrix is invertible or not and calculate the inverse of the matrix, if any | 5 |
| O4 | Will learn the concept of determinant. | 5 |