Istanbul Health and Technology University INFORMATION PACKAGE / COURSE CATALOGUE
| Software Engineering | |||||
| Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 | ||
Course General Introduction Information
| Course Code: | MAT201 | ||||
| Course Name: | Linear Algebra | ||||
| Course Semester: | Fall | ||||
| Course Credits: |
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| Language of instruction: | TR | ||||
| Course Requirement: | |||||
| Does the Course Require Work Experience?: | No | ||||
| Type of course: | Necessary | ||||
| Course Level: |
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| Mode of Delivery: | Face to face | ||||
| Course Coordinator : | Assoc. Prof. HATİCE ESRA ÖZKAN UÇAR | ||||
| Course Lecturer(s): | Prof. Dr. Salim YÜCE | ||||
| Course Assistants: |
Course Purpose and Content
| Course Objectives: | Teaching the basic concepts of Linear Algebra to Engineering students. |
| Course Content: | Matrix operations and use of Determinants |
Learning Outcomes
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The students who have succeeded in this course;
1) Knows some special types of matrices and can perform operations defined on matrices. 2) Solve Linear Systems using Gauss-Jordan reduction method. 3) Finds the transpose, inverse, additive matrix and range of a matrix. 4) It finds the determinant of a square matrix by using row and column operations or by expanding cofactors according to any row (or column). 5) Solve linear systems using Cramer's Rule. 6) It proves algebraic expressions related to the concepts of sum of vectors, multiplication by a scalar, linear independence, subspace, basis and dimension. 7) Calculates the eigenvalues and corresponding eigenvectors of a square matrix. 8) It demonstrates and proves some properties of eigenvalues and eigenvectors. 9) Determines whether a square matrix is diagonalizable or not and converts it to diagonal. 10) Proves statements about Linear Transformations. |
Course Flow Plan
| Week | Subject | Related Preparation |
| 1) | Matrices; Matrix Multiplication | B.Kolman-Dr.Hill, Elementary Linear Algebra with Applications, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3. B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 Fraleigh-Beauregard, Linear Algebra, Addison-Wesley (1995). H.Anton-C.Rorres, Elementary Linear Algebra, Jhon Wiley&sons,Inc.(2011),ISBN 978-0-470-56157-7 E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992) S. Lipschutz, M. Lipson, Schaum's Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009. Any textbook on advanced linear algebra. |
| 2) | Properties of Matrix Operations, Special Types of Matrices | B.Kolman-Dr.Hill, Elementary Linear Algebra with Applications, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3. B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 Fraleigh-Beauregard, Linear Algebra, Addison-Wesley (1995). H.Anton-C.Rorres, Elementary Linear Algebra, Jhon Wiley&sons,Inc.(2011),ISBN 978-0-470-56157-7 E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992) S. Lipschutz, M. Lipson, Schaum's Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009. Any textbook on advanced linear algebra. |
| 3) | Reduced Echelon Form of a Matrix | B.Kolman-Dr.Hill, Elementary Linear Algebra with Applications, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3. B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 Fraleigh-Beauregard, Linear Algebra, Addison-Wesley (1995). H.Anton-C.Rorres, Elementary Linear Algebra, Jhon Wiley&sons,Inc.(2011),ISBN 978-0-470-56157-7 E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992) S. Lipschutz, M. Lipson, Schaum's Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009. Any textbook on advanced linear algebra. |
| 4) | Solution of Linear Systems; Homogeneous Systems | B.Kolman-Dr.Hill, Elementary Linear Algebra with Applications, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3. B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 Fraleigh-Beauregard, Linear Algebra, Addison-Wesley (1995). H.Anton-C.Rorres, Elementary Linear Algebra, Jhon Wiley&sons,Inc.(2011),ISBN 978-0-470-56157-7 E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992) S. Lipschutz, M. Lipson, Schaum's Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009. Any textbook on advanced linear algebra. |
| 5) | Finding the Inverse of a Matrix with the Help of Elementary Matrices and Elementary Operations | B.Kolman-Dr.Hill, Elementary Linear Algebra with Applications, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3. B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 Fraleigh-Beauregard, Linear Algebra, Addison-Wesley (1995). H.Anton-C.Rorres, Elementary Linear Algebra, Jhon Wiley&sons,Inc.(2011),ISBN 978-0-470-56157-7 E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992) S. Lipschutz, M. Lipson, Schaum's Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009. Any textbook on advanced linear algebra. |
| 6) | Determinants; Determinant Definition and Properties | B.Kolman-Dr.Hill, Elementary Linear Algebra with Applications, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3. B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 Fraleigh-Beauregard, Linear Algebra, Addison-Wesley (1995). H.Anton-C.Rorres, Elementary Linear Algebra, Jhon Wiley&sons,Inc.(2011),ISBN 978-0-470-56157-7 E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992) S. Lipschutz, M. Lipson, Schaum's Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009. Any textbook on advanced linear algebra. |
| 7) | Cofactor Expansion, Finding the Inverse of a Matrix with the Help of Cofactors | B.Kolman-Dr.Hill, Elementary Linear Algebra with Applications, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3. B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 Fraleigh-Beauregard, Linear Algebra, Addison-Wesley (1995). H.Anton-C.Rorres, Elementary Linear Algebra, Jhon Wiley&sons,Inc.(2011),ISBN 978-0-470-56157-7 E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992) S. Lipschutz, M. Lipson, Schaum's Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009. Any textbook on advanced linear algebra. |
| 8) | Cramer's Rule. Rank of a Matrix | B.Kolman-Dr.Hill, Elementary Linear Algebra with Applications, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3. B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 Fraleigh-Beauregard, Linear Algebra, Addison-Wesley (1995). H.Anton-C.Rorres, Elementary Linear Algebra, Jhon Wiley&sons,Inc.(2011),ISBN 978-0-470-56157-7 E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992) S. Lipschutz, M. Lipson, Schaum's Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009. Any textbook on advanced linear algebra. |
| 9) | Vector Spaces; Definition, Subspace | B.Kolman-Dr.Hill, Elementary Linear Algebra with Applications, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3. B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 Fraleigh-Beauregard, Linear Algebra, Addison-Wesley (1995). H.Anton-C.Rorres, Elementary Linear Algebra, Jhon Wiley&sons,Inc.(2011),ISBN 978-0-470-56157-7 E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992) S. Lipschutz, M. Lipson, Schaum's Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009. Any textbook on advanced linear algebra. |
| 10) | Generating (Stretching) and Linear Independence | B.Kolman-Dr.Hill, Elementary Linear Algebra with Applications, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3. B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 Fraleigh-Beauregard, Linear Algebra, Addison-Wesley (1995). H.Anton-C.Rorres, Elementary Linear Algebra, Jhon Wiley&sons,Inc.(2011),ISBN 978-0-470-56157-7 E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992) S. Lipschutz, M. Lipson, Schaum's Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009. Any textbook on advanced linear algebra. |
| 11) | Base and Size; Coordinates; Inner Product Spaces | B.Kolman-Dr.Hill, Elementary Linear Algebra with Applications, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3. B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 Fraleigh-Beauregard, Linear Algebra, Addison-Wesley (1995). H.Anton-C.Rorres, Elementary Linear Algebra, Jhon Wiley&sons,Inc.(2011),ISBN 978-0-470-56157-7 E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992) S. Lipschutz, M. Lipson, Schaum's Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009. Any textbook on advanced linear algebra. |
| 12) | Eigenvalues and Eigenvectors | B.Kolman-Dr.Hill, Elementary Linear Algebra with Applications, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3. B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 Fraleigh-Beauregard, Linear Algebra, Addison-Wesley (1995). H.Anton-C.Rorres, Elementary Linear Algebra, Jhon Wiley&sons,Inc.(2011),ISBN 978-0-470-56157-7 E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992) S. Lipschutz, M. Lipson, Schaum's Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009. Any textbook on advanced linear algebra. |
| 13) | Diagonalization and Similar Matrices | B.Kolman-Dr.Hill, Elementary Linear Algebra with Applications, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3. B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 Fraleigh-Beauregard, Linear Algebra, Addison-Wesley (1995). H.Anton-C.Rorres, Elementary Linear Algebra, Jhon Wiley&sons,Inc.(2011),ISBN 978-0-470-56157-7 E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992) S. Lipschutz, M. Lipson, Schaum's Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009. Any textbook on advanced linear algebra. |
| 14) | Linear Transformations | B.Kolman-Dr.Hill, Elementary Linear Algebra with Applications, Pearson International Edition, 9/E(2013), ISBN 0-13-135063-3. B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 Fraleigh-Beauregard, Linear Algebra, Addison-Wesley (1995). H.Anton-C.Rorres, Elementary Linear Algebra, Jhon Wiley&sons,Inc.(2011),ISBN 978-0-470-56157-7 E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992) S. Lipschutz, M. Lipson, Schaum's Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009. Any textbook on advanced linear algebra. |
| 15) | Final Exams | |
| 16) | Final Exams | |
| 17) | Final Exams |
Sources
| Course Notes / Textbooks: | -B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 -Fraleigh-Beauregard, Linear Algebra, Addison-Wesley (1995). -H.Anton-C.Rorres, Elementary Linear Algebra , Jhon Wiley&sons,Inc.(2011),ISBN 978-0-470-56157-7 - E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992) -S. Lipschutz, M. Lipson, Schaum’s Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009. -Any textbook on advanced linear algebra. |
| References: | -B.Kolman-Dr.Hill, Introductory Linear Algebra, Prentice-Hall (2005), ISBN 0-13-127773-1 -Fraleigh-Beauregard, Linear Algebra, Addison-Wesley (1995). -H.Anton-C.Rorres, Elementary Linear Algebra , Jhon Wiley&sons,Inc.(2011),ISBN 978-0-470-56157-7 - E.M.Landesman-M.R.Hestenes, Linear Algebra for Mathematics, Science, and Engineering,Prentice- Hall,Inc(1992) -S. Lipschutz, M. Lipson, Schaum’s Outline of Linear Algebra, Mc Graw-Hill Companies,The Pub.Date: December 2000,ISBN-13:9780071362009. -Any textbook on advanced linear algebra. |
Course - Learning Outcome Relationship
| No Effect | 1 Lowest | 2 Medium | 3 Highest |
| Program Outcomes | Level of Contribution | |
| 1) | Sufficient knowledge in mathematics, science and software engineering discipline-specific topics; the theoretical and practical knowledge in these areas, the ability to use in complex engineering problems. | 2 |
| 2) | The ability to identify, formulate, and solve complex engineering problems; selecting and applying appropriate analysis and modelling methods for this purpose. | 3 |
| 3) | The ability to design a complex system, process, device or product under realistic constraints and conditions to meet specific requirements; the ability to apply modern design methods for this purpose. | 1 |
| 4) | Ability to develop, select and use modern techniques and tools necessary for analysis and solution of complex problems in engineering applications; ability to use information technologies effectively. | 1 |
| 5) | Ability to design experiments, conduct experiments, collect data, analyse and interpret the results of complex engineering problems or discipline-specific research topics. | 1 |
| 6) | Disiplin içi ve çok disiplinli takımlarda etkin biçimde çalışabilme becerisi; bireysel çalışma becerisi. | 1 |
| 7) | Awareness of the need for lifelong learning; access to knowledge, ability to follow developments in science and technology, and constant self-renewal. | 2 |
| 8) | Effective communication skills in Turkish oral and written communication; at least one foreign language knowledge; ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give clear and understandable instructions and to receive. | 1 |
| 9) | Conformity to ethical principles, professional and ethical responsibility; Information on standards used in engineering applications. | 2 |
| 10) | Information on practices in business, such as project management, risk management and change management; awareness about entrepreneurship, innovation; information on sustainable development. | 1 |
| 11) | Information on the effects of engineering applications on health, environment, and safety in universal and social dimensions, and on the problems of the modern age in engineering; awareness of the legal consequences of engineering solutions. | 2 |
| 12) | Adequate skills in the analysis, design, verification, evaluation, implementation, implementation, and maintenance of software systems | 1 |
Learning Activity and Teaching Methods
| Course | |
| Homework |
Measurement and Evaluation Methods and Criteria
| Yazılı Sınav (Açık uçlu sorular, çoktan seçmeli, doğru yanlış, eşleştirme, boşluk doldurma, sıralama) | |
| Homework |
Assessment & Grading
| Semester Requirements | Number of Activities | Level of Contribution |
| Homework Assignments | 1 | % 20 |
| Midterms | 1 | % 30 |
| Final | 1 | % 40 |
| Kanaat Notu | 1 | % 10 |
| total | % 100 | |
| PERCENTAGE OF SEMESTER WORK | % 60 | |
| PERCENTAGE OF FINAL WORK | % 40 | |
| total | % 100 | |
İş Yükü ve AKTS Kredisi Hesaplaması
| Activities | Number of Activities | Aktiviteye Hazırlık | Aktivitede Harçanan Süre | Aktivite Gereksinimi İçin Süre | Workload | ||
| Course Hours | 17 | 2 | 34 | ||||
| Midterms | 1 | 48 | 48 | ||||
| Final | 1 | 48 | 48 | ||||
| Total Workload | 130 | ||||||