Civil Engineering
Course Details
KTO KARATAY UNIVERSITY
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Civil Engineering
Course Details
Mühendislik ve Doğa Bilimleri Fakültesi
Programme of Civil Engineering
Course Details
| Course Code | Course Name | Year | Period | Semester | T+A+L | Credit | ECTS |
|---|---|---|---|---|---|---|---|
| 99600006 | Linear Algebra | 2 | Spring | 4 | 4+0+0 | 4 | 6 |
| 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 | - |
| 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 |
Course Content
Matrices and Systems of Equations, Systems of Linear Equations, Line Step Form, Matrix Algebra, Elementary Matrices, Determinants, Determinant of a Matrix, Properties of Determinant, Cramer's Rule, Vector Spaces, Definition of Vector Space, Subspaces, Linear Independence, Bases and Dimension, Change of Bases, Row Space and Column Space. Linear Transformations, Matrix Representation of Linear Transformations, Orthogonality, Scalar Product, Orthogonal Subspaces, Inner Product Spaces, Orthonormal Sets, Gram-Schmidt Method, Eigenvalues and Eigenvectors, Diagonalisation.
Objectives of the Course
To provide students with 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 | |
| Specialization / Field Courses | |
| Support Courses | X |
| 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 in mathematics, science and related engineering discipline accumulation; theoretical and practical knowledge in these areas, complex engineering the ability to use in 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 | Know the applications of mathematics in engineering | P.1.49 | 1 |
| O2 | Build mathematical models of engineering problems and simulate them | P.1.65 | 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 | Matrices, Determinant |
| 2 | Matrix algebra |
| 3 | Systems of linear algebraic equations |
| 4 | Eigenvalues and eigenvectors |
| 5 | Linear vector spaces |
| 6 | Fundamentals of vector analysis |
| 7 | Vector algebra |
| 8 | Line, surface and volume integrals |
| 9 | Green`s theorem in the plane, Stokes and Gauss theorems |
| 10 | Systems of linear equations |
| 11 | Characteristic values and characteristic vectors of matrices |
| 12 | Complex numbers |
| 13 | Complex analytic functions, applications |
| 14 | Complex analytic functions, applications |
Textbook or Material
| Resources | Steven Leon,"Linear Algebra with Applications"6th Edi. (2001) Kreyszig, E., Advanced Engineering Mathematics, 9th Ed., John Wiley & Sons, 2005 |
Evaluation Method and Passing Criteria
| In-Term Studies | Quantity | Percentage |
|---|---|---|
| Attendance | - | - |
| Laboratory | - | - |
| Practice | - | - |
| Homework | - | - |
| Presentation | - | - |
| Projects | - | - |
| 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 | 4 | 56 |
| Midterms | 1 | 20 | 20 |
| Quiz | 0 | 0 | 0 |
| Homework | 10 | 2 | 20 |
| 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 | 20 | 20 |
| Other | 0 | 0 | 0 |
| Total Work Load: | 172 | ||
| Total Work Load / 30 | 5,73 | ||
| Course ECTS Credits: | 6 | ||
Course - Learning Outcomes Matrix
| Relationship Levels | ||||
| Lowest | Low | Medium | High | Highest |
| 1 | 2 | 3 | 4 | 5 |
| # | Learning Outcomes | P1 |
|---|---|---|
| O1 | Know the applications of mathematics in engineering | 5 |
| O2 | Build mathematical models of engineering problems and simulate them | 5 |