MATH261 LINEAR ALGEBRA I
| Course Code: | 2360261 |
| METU Credit (Theoretical-Laboratory hours/week): | 4 (4.00 - 0.00) |
| ECTS Credit: | 10.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Undergraduate |
| Course Coordinator: | Lecturer Dr. MUHİDDİN UĞUZ |
| Offered Semester: | Fall Semesters. |
Course Objectives
This course aims to cover the basic tools of linear algebra, and provides a rigorous theoretical treatment of the subject while at the same time addressing issues of computational aspects. This includes a thorough study of linear transformations and the theory of matrices. These concepts are crucial to many theoretical and practical applications of linear algebra.
Course Content
Matrices and systems of linear equations. Vector spaces; subspaces, sums and direct sums of subspaces. Linear dependence, bases, dimension, quotient spaces. Linear transformations, kernel, range, isomorphism. Spaces of linear transformations, Hom (V,W),V*, V** transpose. Representations of linear transformations by matrices, similarity. Determinants.
Course Learning Outcomes
At the end of this course, a student should acquire
- the basic knowledge about vector spaces and subspaces,
- the basic knowledge about linear dependence/ independence of sets of vectors and bases for vector spaces,
- the basic knowledge about matrix algebra and determinants,
- the knowledge and the basic skills about solving systems of linear equations systematically,
- basics of algebra of linear transformations and dual spaces,
- basics of representations of linear transformations by matrices.
Program Outcomes Matrix
| Level of Contribution | |||||
| # | Program Outcomes | 0 | 1 | 2 | 3 |
| 1 | Acquires mathematical thinking skills (problem solving, generating ways of thinking, forming correspondence, generalizing etc.) and can use them in related fields. | ✔ | |||
| 2 | Can produce innovative thoughts and products. | ✔ | |||
| 3 | Can design mathematics related problems, devise solution methods and apply them when appropriate. | ✔ | |||
| 4 | Has a comprehension of mathematical symbols, concepts together with the interactions among them and can express his/her solutions similarly. | ✔ | |||
| 5 | Has a command of Turkish and English languages so that he/she can actively communicate (read, write, listen and speak). | ✔ | |||
| 6 | Contributes to solving global, environmental and social problems either individually or as being part of a social group. | ✔ | |||
| 7 | Respects ethical values and rules; applies them in professional and social issues. | ✔ | |||
| 8 | Can work cooperatively in a team and also individually. | ✔ | |||
| 9 | Is responsive to life-long learning, improving his/her skills and abilities | ✔ | |||
| 10 | Comprehends necessity of knowledge, can define it and acquires it; uses knowledge effectively and shares it with others | ✔ | |||
0: No Contribution 1: Little Contribution 2: Partial Contribution 3: Full Contribution