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This course introduces the basic topics of linear algebra and how they are used in modern engineering systems. Step by step, we will learn the concepts of matrices and vector spaces, emphasizing how they are used for engineering design and applications. We will then proceed with more advanced topics, such as singular value decomposition, and application domains, such as computing with matrices, linear programming, game theory, and artificial intelligence. |
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Introducing Linear Algebra in Modern Engineering Systems |
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1. Matrices and Gaussian Elimination
2. Vector Spaces
3. Matrix Determinants
4. Eigenvalues and Eignvectors
5. Positive Definite Matrices.
6. Special Topics: Diagnolization of Matrices and Jordan Form, Functions of Square Matrices, Cayley Hamilton Theorem, Singular Value Decomposition, Computations with Matrices, Linear Programming and Game Theory
7. Engineering Design |
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Junior Standing in Engineering |
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Class room lectures and notes, textbook, and seminar presentations by students |
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Study upcoming topics to prepare for lectures.
Participate in-class quizzes
Submit homework on time.
Participate in final exams.
Presentations on applications of Linear Algebra. |
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１. Linear Algebra and Its Applications, by Gilbert Strang, 4th (5th Edition), Houghton Mifflin Harcourt (Wellesley-Cambridge Press), Wellesley, MA, 2006 (2016).
2. Farsi tranlation of the above book by Prof. Bozorgnia, FUM press
3. Strang's Videolectures at MIT website |
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Internet, Access to Virtual University and FUM Webinar. |
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Presentations (200 points)
Homework (200 points)
Final Test and quizzes: (600 points) |
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Pdf File |