TÜRKÇE
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Information
| Unit | FACULTY OF EDUCATION |
| ELEMENTARY MATHEMATICS EDUCATION PR. | |
| Code | MATZ204 |
| Name | Linear Algebra II |
| Term | 2021-2022 Academic Year |
| Semester | 4. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 2 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | FE Field Education Courses C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. KAMURAN TARIM |
| Course Instructor |
Doç. Dr. DİLEK ERSALAN
(Bahar)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
To provide the student to learn the basic subjects such as vector spaces, linear independence and inner product spaces, and to form the basics of geometry lessons.
Course Content
Vector spaces, subspaces, linear independence, linear combinations; stretching, base and size; linear transformations, ; isomorphisms, eigenvalues and eigenvectors; characteristic polynomials; diagonalization, inner product spaces, orthogonality of vectors, orthonormal vector sets
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Creates different vector space examples. |
| LO02 | Explain vector space and its relations with subspace, linear dependence-independence, stretching, base concepts. |
| LO03 | Explains inner product space and can write non-routine examples. |
| LO04 | Write different orthogonal and orthonormal vector sets in inner product space. |
| LO05 | Defines linear transformation on different vector spaces and determines the core-image spaces. |
| LO06 | Finds the matrix corresponding to a given linear transformation. |
| LO07 | Diagonalizes a given matrix. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Has enough knowledge about mathematics. | 5 |
| PLO02 | - | Has pedagogical knowledge about teaching profession and field. | 0 |
| PLO03 | - | Implements classroom management approaches to be used in educational environments effectively. | 0 |
| PLO04 | - | Prepares the learning environments in which appropriate teaching methods are used for effective mathematics education in accordance with development and age levels. | 0 |
| PLO05 | - | Knows the relationship between Mathematics-Society-Environment-History and uses it in professional and daily life. | 0 |
| PLO06 | - | Uses Turkish properly and effectively according to the rules. | 0 |
| PLO07 | - | Selects and designs appropriate materials, in mathematics teaching. | 0 |
| PLO08 | - | Monitors students' progress using different assessment and evaluation methods and techniques. | 0 |
| PLO09 | - | Takes responsibility as an individual and as a team member to solve problems related to the field. | 3 |
| PLO10 | - | Has life-long learning awareness. | 0 |
| PLO11 | - | Shares his/her knowledge and skills, problems and solutions that he/she identified by means of oral and written communication with the expert and non-expert people. | 3 |
| PLO12 | - | Uses information and communication technologies and other related materials for an effective mathematics teaching. | 2 |
| PLO13 | - | Has enough foreign language knowledge to follow foreign resources related to the field. | 0 |
| PLO14 | - | Has the knowledge of the purpose, structure and functioning of the Turkish education system. | 0 |
| PLO15 | - | Becomes a teacher who adheres to Atatürk's principles and revolutions. | 0 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Vector spaces | Examining the related sources | |
| 2 | Basis and dimension of vector space | Examining the related sources | |
| 3 | Sub vector spaces | Examining the related sources | |
| 4 | Linear functions | Examining the related sources | |
| 5 | Matrix representations of linear transformations | Examining the related sources | |
| 6 | Kernel and image space of linear transformation | Examining the related sources | |
| 7 | Rank-Zero theorem and applications | Examining the related sources | |
| 8 | Mid-Term Exam | ||
| 9 | Inner product spaces | Examining the related sources | |
| 10 | Inner productspaces | Examining the related sources | |
| 11 | Orthogonality of vectors, orthonormal vector sets | Examining the related sources | |
| 12 | Eigen values and eigen vectors | Examining the related sources | |
| 13 | Diagonolisation | Examining the related sources | |
| 14 | Diagonolisation | Examining the related sources | |
| 15 | An overview | Examining the related sources | |
| 16 | Term Exams | ||
| 17 | Term Exams |
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 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 1 | 14 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 4 | 4 |
| Final Exam | 1 | 8 | 8 |
| Total Workload (Hour) | 54 | ||
| Total Workload / 25 (h) | 2,16 | ||
| ECTS | 2 ECTS | ||