Istanbul Health and Technology University INFORMATION PACKAGE / COURSE CATALOGUE
| Mechatronics Engineering (English) | |||||
| Bachelor | TR-NQF-HE: Level 6 | QF-EHEA: First Cycle | EQF-LLL: Level 6 | ||
Course General Introduction Information
| Course Code: | MTH201 | ||||
| Course Name: | Linear Algebra | ||||
| Course Semester: | Fall | ||||
| Course Credits: |
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| Language of instruction: | |||||
| 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) | Adequate knowledge in mathematics, science and engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems. | 2 |
| 2) | Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose. | 1 |
| 3) | Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. | 2 |
| 4) | Ability to devise, select, and use modern techniques and tools needed for analysing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively. | 2 |
| 5) | Ability to design and conduct experiments, gather data, analyse and interpret results for investigating complex engineering problems or discipline specific research questions. | 3 |
| 6) | Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. | 1 |
| 7) | Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions. | 3 |
| 8) | Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. | 1 |
| 9) | Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice. | 2 |
| 10) | Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development. | 2 |
| 11) | Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions | 3 |
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 | ||||||