PHYSIOTHERAPY AND REHABILITATION (ENGLISH) | |||||
Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 |
Course Code: | MAT1041 | ||||||||
Ders İsmi: | Linear Algebra | ||||||||
Ders Yarıyılı: |
Spring Fall |
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Ders Kredileri: |
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Language of instruction: | English | ||||||||
Ders Koşulu: | |||||||||
Ders İş Deneyimini Gerektiriyor mu?: | No | ||||||||
Type of course: | Non-Departmental Elective | ||||||||
Course Level: |
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Mode of Delivery: | Face to face | ||||||||
Course Coordinator : | Instructor MAHMOUD JAFARI SHAH BELAGHI | ||||||||
Course Lecturer(s): | |||||||||
Course Assistants: |
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. |
Course Content: | 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. |
The students who have succeeded in this course;
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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 |
Ders Öğrenme Kazanımları | |||||||||||
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Program Outcomes | |||||||||||
1) To have theoretical and practical knowledge required to fulfill professional roles and functions of Physiotherapy and Rehabilitation field. | |||||||||||
2) To act in accordance with ethical principles and values in professional practice. | |||||||||||
3) To use life-long learning, problem-solving and critical thinking skills. | |||||||||||
4) To define evidence-based practices and determine problem solving methods in Physiotherapy and Rehabilitation practices, using theories in health promotion, protection and care. | |||||||||||
5) To take part in research, projects and activities within sense of social responsibility and interdisciplinary approach. | |||||||||||
6) To have skills for training and consulting according to health education needs of individual, family and the community. | |||||||||||
7) To be sensitive to health problems of the community and to be able to offer solutions. | |||||||||||
8) To be able to use skills for effective communication. | |||||||||||
9) To be able to select and use modern tools, techniques and modalities in Physiotherapy and Rehabilitation practices; to be able to use health information technologies effectively. | |||||||||||
10) To be able to search for literature in health sciences databases and information sources to access to information and use the information effectively. | |||||||||||
11) To be able to monitor occupational information using at least one foreign language, to collaborate and communicate with colleagues at international level. | |||||||||||
12) To be a role model with contemporary and professional identity. |
No Effect | 1 Lowest | 2 Low | 3 Average | 4 High | 5 Highest |
Program Outcomes | Level of Contribution | |
1) | To have theoretical and practical knowledge required to fulfill professional roles and functions of Physiotherapy and Rehabilitation field. | 2 |
2) | To act in accordance with ethical principles and values in professional practice. | 1 |
3) | To use life-long learning, problem-solving and critical thinking skills. | 4 |
4) | To define evidence-based practices and determine problem solving methods in Physiotherapy and Rehabilitation practices, using theories in health promotion, protection and care. | 1 |
5) | To take part in research, projects and activities within sense of social responsibility and interdisciplinary approach. | 1 |
6) | To have skills for training and consulting according to health education needs of individual, family and the community. | 1 |
7) | To be sensitive to health problems of the community and to be able to offer solutions. | 1 |
8) | To be able to use skills for effective communication. | 5 |
9) | To be able to select and use modern tools, techniques and modalities in Physiotherapy and Rehabilitation practices; to be able to use health information technologies effectively. | 1 |
10) | To be able to search for literature in health sciences databases and information sources to access to information and use the information effectively. | 1 |
11) | To be able to monitor occupational information using at least one foreign language, to collaborate and communicate with colleagues at international level. | 1 |
12) | To be a role model with contemporary and professional identity. | 5 |
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 |