ECTS - Linear Algebra I
Linear Algebra I (MATH231) Course Detail
Course Name | Course Code | Season | Lecture Hours | Application Hours | Lab Hours | Credit | ECTS |
---|---|---|---|---|---|---|---|
Linear Algebra I | MATH231 | 3. Semester | 4 | 0 | 0 | 4 | 7 |
Pre-requisite Course(s) |
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N/A |
Course Language | English |
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Course Type | Compulsory Departmental Courses |
Course Level | Bachelor’s Degree (First Cycle) |
Mode of Delivery | Face To Face |
Learning and Teaching Strategies | Lecture, Question and Answer, Drill and Practice. |
Course Lecturer(s) |
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Course Objectives | The aim of the course is to provide the basic linear algebra background needed by mathematicians. Many concepts in the course will be presented in the familiar setting of the plane and n-dimensional space, and will be developed with an awareness of how linear algebra is applied. |
Course Learning Outcomes |
The students who succeeded in this course;
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Course Content | Matrices and linear equations, determinants, vector spaces, linear transformations. |
Weekly Subjects and Releated Preparation Studies
Week | Subjects | Preparation |
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1 | Matrices, Matrix Operations, Algebraic Properties of Matrix Operations, Partitioned Matrices, Special Types of Matrices | pp. 16-31, 36-40 |
2 | Elementary Row Operations, Row Equivalence, Equivalent Matrices, Invertible Matrices | pp. 44-59 |
3 | Systems of Linear Equations | pp. 65-79 |
4 | Determinants, Cramer’s Rule | pp. 90-106 |
5 | Vector Spaces | pp. 129-140 |
6 | Subspaces, Span | pp. 144-147, 154-157 |
7 | Linear Independence, Basis and Dimension | pp. 163-180 |
8 | Coordinates, Isomorphisms | pp. 182-187 |
9 | Subspaces associated with a matrix (Row space, Column space, Homogeneous Systems), Rank of a Matrix | pp. 192-201 |
10 | Intersections, Sums, Direct Sums, Quotient Spaces | pp. 202-214 |
11 | Linear Transformations | pp. 228-239 |
12 | Kernel, Image, Injectivity, Surjectivity | pp. 242-262 |
13 | Dual Space (Theorem and Definition 3.3.7), The Algebra of Linear Operators | pp. 265-266, 269-273 |
14 | Matrix of a Linear Transformation, Transition Matrix, Similarity | pp. 279-288 |
15 | General Review | |
16 | Final Exam |
Sources
Course Book | 1. Cemal Koç, Linear Algebra I, METU Ankara, 1998. |
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Other Sources | 2. B. Kolman and D.R. Hill, Elementary Linear Algebra, 8th Edition, Prentice-Hall, New Jersey, 2004. |
3. T. S. Blyth and E. F. Robertson, Basic Linear Algebra, Springer Undergraduate Mathematics Series, Springer-Verlag. | |
4. K. Hoffman and R. Kunze, Linear Algebra, 2nd Edition, Prentice-Hall, New Jersey, 1971. |
Evaluation System
Requirements | Number | Percentage of Grade |
---|---|---|
Attendance/Participation | - | - |
Laboratory | - | - |
Application | - | - |
Field Work | - | - |
Special Course Internship | - | - |
Quizzes/Studio Critics | - | - |
Homework Assignments | 5 | 10 |
Presentation | - | - |
Project | - | - |
Report | - | - |
Seminar | - | - |
Midterms Exams/Midterms Jury | 2 | 55 |
Final Exam/Final Jury | 1 | 35 |
Toplam | 8 | 100 |
Percentage of Semester Work | 65 |
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Percentage of Final Work | 35 |
Total | 100 |
Course Category
Core Courses | X |
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Major Area Courses | |
Supportive Courses | |
Media and Managment Skills Courses | |
Transferable Skill Courses |
The Relation Between Course Learning Competencies and Program Qualifications
# | Program Qualifications / Competencies | Level of Contribution | ||||
---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | ||
1 | Has the ability to apply scientific knowledge gained in the undergraduate education and to expand and extend knowledge in the same or in a different area | X | ||||
2 | Can apply gained knowledge and problem solving abilities in inter-disciplinary research | X | ||||
3 | Has the ability to work independently within research area, to state the problem, to develop solution techniques, to solve the problem, to evaluate the obtained results and to apply them when necessary | X | ||||
4 | Takes responsibility individually and as a team member to improve systematic approaches to produce solutions in unexpected complicated situations related to the area of study | X | ||||
5 | Can develop strategies, implement plans and principles on the area of study and can evaluate obtained results within the framework | X | ||||
6 | Can develop and extend the knowledge in the area and to use them with scientific, social and ethical responsibility | X | ||||
7 | Has the ability to follow recent developments within the area of research, to support research with scientific arguments and data, to communicate the information on the area of expertise in a systematically by means of written report and oral/visual presentation | X | ||||
8 | To have an oral and written communication ability in at least one of the common foreign languages ("European Language Portfolio Global Scale", Level B2) | X | ||||
9 | Has software and hardware knowledge in the area of expertise, and has proficient information and communication technology knowledge | X | ||||
10 | Follows scientific, cultural, and ethical criteria in collecting, interpreting and announcing data in the research area and has the ability to teach. | X | ||||
11 | Has professional ethical consciousness and responsibility which takes into account the universal and social dimensions in the process of data collection, interpretation, implementation and declaration of results in mathematics and its applications. | X |
ECTS/Workload Table
Activities | Number | Duration (Hours) | Total Workload |
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Course Hours (Including Exam Week: 16 x Total Hours) | 16 | 4 | 64 |
Laboratory | |||
Application | |||
Special Course Internship | |||
Field Work | |||
Study Hours Out of Class | 14 | 4 | 56 |
Presentation/Seminar Prepration | |||
Project | |||
Report | |||
Homework Assignments | 5 | 4 | 20 |
Quizzes/Studio Critics | |||
Prepration of Midterm Exams/Midterm Jury | 2 | 10 | 20 |
Prepration of Final Exams/Final Jury | 1 | 15 | 15 |
Total Workload | 175 |