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 | Area Elective | 4 | 0 | 0 | 4 | 7 |
| Pre-requisite Course(s) |
|---|
| N/A |
| Course Language | English |
|---|---|
| Course Type | Elective 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) |
|
| 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;
|
| Course Content | Matrices and linear equations, determinants, vector spaces, linear transformations. |
Weekly Subjects and Releated Preparation Studies
| Week | Subjects | Preparation |
|---|---|---|
| 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. |
|---|---|
| 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 |
|---|---|
| Percentage of Final Work | 35 |
| Total | 100 |
Course Category
| Core Courses | X |
|---|---|
| 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 | Acquiring the skills of understanding, explaining, and using the fundamental concepts and methods of economics | |||||
| 2 | Acquiring the skills of macro level economic analysis | |||||
| 3 | Acquiring the skills of micro level economic analysis | |||||
| 4 | Understanding the formulation and implementation of economic policies at the local, national, regional, and/or global level | |||||
| 5 | Learning different approaches on economic and related issues | |||||
| 6 | Acquiring the quantitative and/or qualitative techniques in economic analysis | X | ||||
| 7 | Improving the ability to use the modern software, hardware and/or technological devices | |||||
| 8 | Developing intra-disciplinary and inter-disciplinary team work skills | X | ||||
| 9 | Acquiring an open-minded behavior through encouraging critical analysis, discussions, and/or life-long learning | |||||
| 10 | Adopting work ethic and social responsibility | |||||
| 11 | Developing the skills of communication. | |||||
| 12 | Improving the ability to effectively implement the knowledge and skills in at least one of the following areas: economic policy, public policy, international economic relations, industrial relations, monetary and financial affairs. | |||||
ECTS/Workload Table
| Activities | Number | Duration (Hours) | Total Workload |
|---|---|---|---|
| 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 | ||