| CHILD DEVELOPMENT (TURKISH) | |||||
| Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 | ||
| Course Code | Course Name | Semester | Theoretical | Practical | Credit | ECTS |
| MAT1041 | Linear Algebra | Fall | 3 | 0 | 3 | 6 |
| This catalog is for information purposes. Course status is determined by the relevant department at the beginning of semester. |
| Language of instruction: | English |
| Type of course: | Non-Departmental Elective |
| Course Level: | Bachelor’s Degree (First Cycle) |
| Mode of Delivery: | Face to face |
| Course Coordinator : | Instructor MAHMOUD JAFARI SHAH BELAGHI |
| Course Lecturer(s): |
Prof. Dr. SÜREYYA AKYÜZ Assoc. Prof. HALE GONCE KÖÇKEN Dr. Öğr. Üyesi DİLRÜBA ÖZMEN ERTEKİN Prof. Dr. NAFİZ ARICA |
| Recommended Optional Program Components: | None |
| Course Objectives: | To define matrix operations such as addition, multiplication, inversion and to prove some of related properties; To teach to solve a system of linear equations by using matrices; To give the definitions of a vector space, subspace, base and dimension and to prove some of related theorems; To introduce the notion of a linear map and the types of linear maps (such as injective, surjective and bijective); To teach the matrix representation of linear mappings and proving some of related properties; To construct the space of linear mappings and to give its structural properties; To define the transpose of a linear functional and to prove related properties. |
|
The students who have succeeded in this course; 1. Solve systems of linear equations using multiple methods, including Gaussian elimination and matrix inversion. 2. Carry out matrix operations, including inverses and determinants. 3. Demonstrate understanding of the concepts of vector space and subspace. 4. Demonstrate understanding of linear independence, span, and basis. 5. Determine eigenvalues and eigenvectors and solve eigenvalue problems. 6. Apply principles of matrix algebra to linear transformations. |
| Systems of linear equations, matrices; Vector spaces, subspaces, base and dimension, coordinate; Linear mappings, kernel and image subspaces; Matrix representations of linear mappings; Linear functional, transpose of a linear mapping. Eigenvalues and eigenvectors, diagonalization of matrices. |
| Week | Subject | Related Preparation |
| 1) | - Introduction to Systems of Linear Equations - Gaussian Elimination and Gauss-Jordan Elimination | |
| 2) | - Operations with Matrices - Properties of Matrix Operations | |
| 3) | - The Inverse of a Matrix | |
| 4) | - The Determinant of a Matrix - Evaluation of a Determinant Using Elementary Operations | |
| 5) | - Properties of Determinants | |
| 6) | - Vectors in R^n - Vector Spaces \ review. | |
| 7) | - Subspaces of Vector Spaces - Spanning Sets and Linear Independence | |
| 8) | - Basis and Dimension | |
| 9) | - Rank of a Matrix and Systems of Linear Equations | |
| 10) | - Introduction to Linear Transformations | |
| 11) | - The Kernel and Range of a Linear Transformation | |
| 12) | - Matrices for Linear Transformations - Transition Matrices and Similarity \ review. | |
| 13) | - Eigenvalues and Eigenvectors - Diagonalization | |
| 14) | - Symmetric Matrices and Orthogonal Diagonalization |
| Course Notes / Textbooks: | Elementary Linear Algebra, Howard Anton, Wiley Publishing Co. (2000) |
| References: | 1.Lang, S., "Linear Algebra", Addison-Wesley Publishing Company, (1968). 2.Hoffman, K. M., Kunze R. A., "Linear Algebra", Printice Hall, 2. edition, (1971). 3.Koç, C., "Basic Linear Algebra", Matematik Vakfı, (1995). 4. Lipschutz, S., "Linear Algebra, Schaum’s Outline Series", McGraw-Hill, Inc., (1974). 5.Kolman, B., Hill, D. R., "Introductory Algebra with Applications", Prentice Hall |
| Semester Requirements | Number of Activities | Level of Contribution |
| Midterms | 2 | % 60 |
| Final | 1 | % 40 |
| Total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 60 | |
| PERCENTAGE OF FINAL WORK | % 40 | |
| Total | % 100 | |
| Activities | Number of Activities | Duration (Hours) | Workload |
| Course Hours | 14 | 3 | 42 |
| Study Hours Out of Class | 14 | 7 | 98 |
| Midterms | 2 | 2 | 4 |
| Final | 1 | 2 | 2 |
| Total Workload | 146 | ||
| No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | To gain both theoretical and practical knowledge about physical, cognitive, social-emotional aspects of child development. | 4 |
| 2) | To display actions in professional practice based on ethical principles and values. | 5 |
| 3) | To adopt the principle of lifelong learning, using efficient ways for accessing information. | 5 |
| 4) | To know the stages of child development and to be able to use models / theories efficiently for supporting children's cognitive, affective and psycho-motor development. | 5 |
| 5) | To plan, implement and evaluate professional projects, research and events with a sense of social responsibility, | 5 |
| 6) | To be able to use effective communication methods in counseling and child and family-based guidance. | 3 |
| 7) | To be sensitive to the child and family-related issues taking into account the child's stages of development, and to implement strategies for personal development of child and education methods which are vital for leading effective and productive life. | 5 |
| 8) | To use the education and communication materials according to the child development stage, and to create proper educational environment. | 5 |
| 9) | To take responsibilities in the field of child development and education using interdisciplinary approach, and to use information technologies, and to engage in projects and activities. | 5 |
| 10) | To use health information technologies for research in the field of child development. | 5 |
| 11) | To be able to monitor occupational information using at least one foreign language, to collaborate and communicate with colleagues at international level. | 5 |
| 12) | To become a good example for colleagues and society, and represent efficiently the professional identity using advanced knowledge about child development. | 5 |