Istanbul Health and Technology University INFORMATION PACKAGE / COURSE CATALOGUE
| Mechanical 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) | Having advanced theoretical and practical knowledge supported by textbooks, application tools and other resources containing current information in the field. | |
| 2) | Ability to use advanced theoretical and practical knowledge acquired in the field. | |
| 3) | Ability to interpret and evaluate data, identify and analyze problems, and develop solution suggestions based on research and evidence, using the advanced knowledge and skills acquired in the field. | |
| 4) | To be able to inform relevant people and institutions on issues related to the field; Ability to convey thoughts and solution suggestions to problems in written and oral form. | |
| 5) | Ability to share one's thoughts on issues related to one's field and solutions to problems, supported by quantitative and qualitative data, with experts and non-experts. | |
| 6) | Ability to organize and implement projects and events for the social environment in which one lives with awareness of social responsibility. | |
| 7) | Ability to monitor knowledge in the field and communicate with colleagues by using a foreign language at least at the European Language Portfolio B1 General Level. | |
| 8) | Ability to use information and communication technologies along with computer software at least at the Advanced Level of the European Computer Usage License required by the field. | |
| 9) | Acting in accordance with social, scientific, cultural and ethical values during the collection, interpretation, application and announcement of the results of data related to the field. | |
| 10) | Having sufficient awareness about the universality of social rights, social justice, quality culture and protection of cultural values, environmental protection, occupational health and safety. | |
| 11) | Ability to evaluate the advanced knowledge and skills acquired in the field with a critical approach. | |
| 12) | Ability to identify learning needs and direct learning | |
| 13) | Being able to develop a positive attitude towards lifelong learning. | |
| 14) | Ability to independently carry out an advanced study related to the field. | |
| 15) | Ability to take responsibility individually and as a team member to solve unforeseen complex problems encountered in field-related applications. | |
| 16) | Ability to plan and manage activities aimed at the development of the employees under his/her responsibility within the framework of a project. |
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 | ||||||