ete.cs.ieu.edu.tr
Course Name | |
Code | Semester | Theory (hour/week) | Application/Lab (hour/week) | Local Credits | ECTS |
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Fall |
Prerequisites |
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Course Language | |||||||||
Course Type | Required | ||||||||
Course Level | - | ||||||||
Mode of Delivery | - | ||||||||
Teaching Methods and Techniques of the Course | Problem Solving | ||||||||
Course Coordinator | - | ||||||||
Course Lecturer(s) | - | ||||||||
Assistant(s) | - |
Course Objectives | |
Learning Outcomes | The students who succeeded in this course;
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Course Description |
| Core Courses | X |
Major Area Courses | ||
Supportive Courses | ||
Media and Managment Skills Courses | ||
Transferable Skill Courses |
Week | Subjects | Required Materials |
1 | Matrices and Determinants / Dizey ve Belirteçler Systems of Linear Equations. Matrices and Matrix Operations. Inverses of Matrices. | Kısım 1. / Chapter 1 • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
2 | Special Matrices and Additional Properties of Matrices. Determinants. Further Properties of Determinants. Proofs of Theorems on Determinants. | Kısım 1. / Chapter 1 • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
3 | Vector Spaces / Vektör Uzayları Vector Spaces. Subspaces and Spanning Sets. Linear Independence and Bases. Dimension; Nullspace, Rowspace, and Column Space. Wronskians | Kısım 2. / Chapter 2 . • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
4 | First Order Ordinary Differential Equations / Birinci Mertebeden Türevli Denklemler Introduction to Differential Equations. Separable Differential Equations. Exact Differential Equations. Linear Differential Equations. | Kısım 3. / Chapter 3 • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
5 | More Techniques for Solving First Order Differential Equations. Modeling With Differential Equations. Reduction of Order. The Theory of First Order Differential Equations. Numerical Solutions of Ordinary Differential Equations. | Kısım 3. / Chapter 3 • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
6 | Linear Differential Equations / Doğrusal Türevli Denklemler The Theory of Higher Order Linear Differential Equations. Homogenous Constant Coefficient Linear Differential Equations. The Method of Undetermined Coefficients. The Method of Variation of Parameters. Some Applications of Higher Order Differential Equations | Kısım 4. / Chapter 4 • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
7 | Linear Transformations, Eigenvalues, and Eigenvectors / Doğrusal Dönüşümler, Özdeğerler, ve Özvektörler Linear Transformations. The Algebra of Linear Transformations; Differential Operators and Differential Equations. Matrices for Linear Transformations. | Kısım 5. / Chapter 5 • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
8 | Eigenvectors and Eigenvalues of Matrices. Similar Matrices, Diagonalization, and Jordan Canonical Form.Eigenvectors and Eigenvalues of Linear Transformations | Kısım 5. / Chapter 5 • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
9 | Systems of Differential Equations / Türevli Denklem Sistemleri The Theory of Systems of Linear Differential Equations. Homogenous Systems with Constant Coefficients: The Diagonalizable Case. | Kısım 6. / Chapter 6 • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
10 | Homogenous Systems with Constant Coefficients: The Nondiagonalizable Case. Nonhomogenous Linear Systems. Nonhomogenous Linear Systems | Kısım 6. / Chapter 6 • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
11 | Converting Differential Equations to First Order Systems. Applications Involving Systems of Linear Differential Equations. 2x2 Systems of Nonlinear Differential Equations. | Kısım 6. / Chapter 6 • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
12 | Laplace Transform / Laplace Dönüşümü Definition and Properties of the Laplace Transform. Solving Constant Coefficient Linear Initial Value Problems with Laplace Transforms | Kısım 7. / Chapter 7 • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
13 | The Step Functions, Impulse Functions and the Delta Function. Convolution Integrals. Systems of Linear Differential Equations. | Kısım 7. / Chapter 7 . • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
14 | Power Series Solutions to Linear Differential Equations / Doğrusal Türevli Denklemlerin Serilerle Çözümü Introduction to Power Series Solutions. Series Solutions for Second Order Linear Differential equations. | Kısım 8. / Chapter 8 • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
15 | Euler Type Equations. Series Solutions Near a Regular Singular Point.. | Kısım 8. / Chapter 8 • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
16 | Inner Product Spaces / Dahili Çarpım Uzayları Inner Product Spaces. Orthonormal Bases Schur's Theorem and Symmetric Matrices. | Kısım 9. / Chapter 9 • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
Course Notes/Textbooks | • Linear Algebra and Differential Equations, 1/E, Peterson & Sochacki ©2002 AddisonWesley Published:07/24/2001, ISBN10: 0201662124, ISBN13: 9780201662122 |
Suggested Readings/Materials | • Differential Equations and Linear Algebra, 3/E, Edwards & Penney, ©2010, PrenticeHall, Published:10/10/2008, ISBN10: 0136054250, ISBN13: 9780136054252 • Differential Equations and Linear Algebra, 3/E, Goode & Annin, ©2008 PrenticeHall, Published:03/13/2007, ISBN10: 0130457949, ISBN13: 9780130457943 • Elementary Differential Equations, 6/E, Edwards & Penney ©2008, Pearson, ISBN10: 0132397307, ISBN13: 9780132397308• Differential Equations and Linear Algebra, 3/E, Edwards & Penney, ©2010 , PrenticeHall, Published:10/10/2008ISBN10: 36054250, ISBN13: 9780136054252 • Advanced Modern Engineering Mathematics, 3/E, James & James, ©2004 , PrenticeHall, Published:07/21/2005, ISBN10: 0130454257, ISBN13: 9780130454256 • Advanced Engineering Mathematics, 2/E, Greenberg ©1998 , PrenticeHall, Published: 01/08/1998, ISBN10: 0133214311, ISBN13: 9780133214314 |
Semester Activities | Number | Weigthing |
Participation | ||
Laboratory / Application | ||
Field Work | ||
Quizzes / Studio Critiques | 2 | 20 |
Portfolio | ||
Homework / Assignments | 8 | 10 |
Presentation / Jury | ||
Project | ||
Seminar / Workshop | ||
Oral Exam | ||
Midterm | 1 | 25 |
Final Exam | 1 | 35 |
Total |
Weighting of Semester Activities on the Final Grade | 65 | |
Weighting of End-of-Semester Activities on the Final Grade | 35 | |
Total |
Semester Activities | Number | Duration (Hours) | Workload |
---|---|---|---|
Course Hours (Including exam week: 16 x total hours) | 16 | 2 | 32 |
Laboratory / Application Hours (Including exam week: 16 x total hours) | 16 | ||
Study Hours Out of Class | 16 | 2 | |
Field Work | |||
Quizzes / Studio Critiques | 2 | 2 | |
Portfolio | |||
Homework / Assignments | 8 | 2 | |
Presentation / Jury | |||
Project | |||
Seminar / Workshop | |||
Oral Exam | |||
Midterms | 1 | 2 | |
Final Exams | 1 | 2 | |
Total | 88 |
# | Program Competencies/Outcomes | * Contribution Level | ||||
1 | 2 | 3 | 4 | 5 | ||
1 | Have sufficient background in mathematics, basic sciences and other related engineering areas and to be able to use this background in the problems of the electrical and electronics engineering. | X | ||||
2 | Be able to identify, formulate and solve electrical and electronics engineering-related problems by using state-of-the-art methods, techniques and equipment. | X | ||||
3 | Be able to analyze an electrical and electronics system, system components or process, and to design with realistic limitations to meet the requirements using modern design techniques. | X | ||||
4 | Be able to choose and use the required techniques and tools for electrical and electronics engineering applications; to use technical symbols and drawings for communication. | X | ||||
5 | Be able to design and do simulation and/or experiment, collect and analyze data and interpret the results. | X | ||||
6 | Be able to work independently and participate in multidisiplinary teams. | X | ||||
7 | Be conscious of project management, office applications, workers’ health, environment and work safety; awareness of professional and ethical responsibilities and the legal consequences of engineering applications. | X | ||||
8 | Be able to access information, to do research and use data bases and other information sources. | X | ||||
9 | Be able to communicate both in oral and written form in English at a minimum level of European Language Portfolio Global Scale Level B1. | |||||
10 | Have an aptitude, capability and inclination for life-long learning. | |||||
11 | To be able to use a second foreign language at intermediate level. |
*1 Lowest, 2 Low, 3 Average, 4 High, 5 Highest