TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF ENGINEERING |
| INDUSTRIAL ENGINEERING PR. | |
| Code | ENM141 |
| Name | Linear Algebra |
| Term | 2018-2019 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 3-0 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Üniversite Dersi |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. DİLEK ERSALAN |
| Course Instructor |
Doç. Dr. DİLEK ERSALAN
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The objectives of this course are to introduce the students with the basic ideas of linear algebra including vector spaces, subspaces, basis, dimension, linear transformations, matrices, systems of linear equations, eigenvalues and eigenvectors and to teach the understanding of abstract mathematical concepts and abstract thought arising from the concepts covered in this course.
Course Content
Vectors in the plane and space; vector spaces, subspaces, linear dependence, bases and finite dimensional vector spaces, linear transformations, matrices, representation of linear transformations by matrices, direct sum, systems of linear equations, determinants, characteristic vectors and diagonalization.
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Has sufficient background on topics related to mathematics, physical sciences and industrial engineering. | 3 |
| PLO02 | - | Gains ability to use the acquired theoretical knowledge on basic sciences and industrial engineering for describing, formulating and solving an industrial engineering problem, and to choose appropriate analytical and modeling methods. | 2 |
| PLO03 | - | Gains ability to analyze a service and/or manufacturing system or a process and describes, formulates and solves its problems . | 2 |
| PLO04 | - | Gains ability to choose and apply methods and tools for industrial engineering applications. | 2 |
| PLO05 | - | Can collect and analyze data required for industrial engineering problems ,develops and evaluates alternative solutions. | 3 |
| PLO06 | - | Works efficiently and takes responsibility both individually and as a member of a multi-disciplinary team. | 1 |
| PLO07 | - | Can access information and to search/use databases and other sources for information gathering. | 3 |
| PLO08 | - | Appreciates life time learning; follows scientific and technological developments and renews himself/herself continuously. | 2 |
| PLO09 | - | Can use computer software in industrial engineering along with information and communication technologies. | 2 |
| PLO10 | - | Can use oral and written communication efficiently. | 2 |
| PLO11 | - | Uses English skills to follow developments in industrial engineering and to communicate with people in his/her profession. | 1 |
| PLO12 | - | Has a conscious understanding of professional and ethical responsibilities. | 1 |
| PLO13 | - | Has a necessary consciousness on issues related to job safety and health, legal aspects of environment and engineering practice. | 1 |
| PLO14 | - | Becomes competent on matters related to project management, entrepreneurship, innovation and has knowledge about current matters in industrial engineering. | 1 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Vector space, subspace | Required readings | |
| 2 | Linear dependence, independence and a basis of a vector space | Required readings | |
| 3 | Linear dependence, independence and a basis of a vector space | Required readings | |
| 4 | Sum of subspaces, direct sum | Required readings | |
| 5 | Linear transformations, their kernels and images | Required readings | |
| 6 | The rank of a linear transformation, isomorphism | Required readings | |
| 7 | Matrices | Required readings | |
| 8 | Mid-term exam | Review of the topics discussed in the lecture notes and sources | |
| 9 | Representation of linear transformations by matrices | Required readings | |
| 10 | The rank of a matrix, echelon matrix | Required readings | |
| 11 | Row equivalent matrices and systems of linear equations | Required readings | |
| 12 | Determinant function, properties of determinant, evaluation of determinant | Required readings | |
| 13 | Determinant function, properties of determinant, evaluation of determinant | Required readings | |
| 14 | Cramer Rule, eigen values and eigen vectors | Required readings | |
| 15 | Characteristic spaces and characteristic polynomial | Required readings | |
| 16 | Final exam | Review of the topics discussed in the lecture notes and sources | |
| 17 | Final exam | Review of the topics discussed in the lecture notes and sources |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |