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Week |
Subject |
Related Preparation |
1) |
- Introduction to Systems of Linear Equations
- Gaussian Elimination and Gauss-Jordan Elimination
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2) |
- Operations with Matrices
- Properties of Matrix Operations
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3) |
- The Inverse of a Matrix |
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4) |
- The Determinant of a Matrix
- Evaluation of a Determinant Using Elementary Operations
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5) |
- Properties of Determinants |
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6) |
- Vectors in R^n
- Vector Spaces \ review.
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7) |
- Subspaces of Vector Spaces
- Spanning Sets and Linear Independence
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8) |
- Basis and Dimension
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9) |
- Rank of a Matrix and Systems of Linear Equations |
|
10) |
- Introduction to Linear Transformations |
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11) |
- The Kernel and Range of a Linear Transformation |
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12) |
- Matrices for Linear Transformations
- Transition Matrices and Similarity \ review.
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13) |
- Eigenvalues and Eigenvectors
- Diagonalization
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14) |
- Symmetric Matrices and Orthogonal Diagonalization |
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Course Notes: |
Elementary Linear Algebra, Howard Anton, Wiley Publishing Co. (2000) |
References: |
1.Lang, S., "Linear Algebra", Addison-Wesley Publishing Company, (1968).
2.Hoffman, K. M., Kunze R. A., "Linear Algebra", Printice Hall, 2. edition, (1971).
3.Koç, C., "Basic Linear Algebra", Matematik Vakfı, (1995).
4. Lipschutz, S., "Linear Algebra, Schaum’s Outline Series", McGraw-Hill, Inc., (1974).
5.Kolman, B., Hill, D. R., "Introductory Algebra with Applications", Prentice Hall |
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Program Outcomes |
Level of Contribution |
1) |
Build up a body of knowledge in mathematics, science and Energy Systems Engineering subjects; use theoretical and applied information in these areas to model and solve complex engineering problems. |
5 |
2) |
Ability to identify, formulate, and solve complex Energy Systems Engineering problems; select and apply proper modeling and analysis methods for this purpose.
|
2 |
3) |
Ability to design complex Energy systems, processes, devices or products under realistic constraints and conditions, in such a way as to meet the desired result; apply modern design methods for this purpose. |
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4) |
Ability to devise, select, and use modern techniques and tools needed for solving complex problems in Energy Systems Engineering practice; employ information technologies effectively. |
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5) |
Ability to design and conduct numerical or pysical experiments, collect data, analyze and interpret results for investigating the complex problems specific to Energy Systems Engineering. |
3 |
6) |
Ability to cooperate efficiently in intra-disciplinary and multi-disciplinary teams; and show self-reliance when working on Energy Systems-related problems |
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7) |
Ability to communicate effectively in English and Turkish (if he/she is a Turkish citizen), both orally and in writing. Write and understand reports, prepare design and production reports, deliver effective presentations, give and receive clear and understandable instructions. |
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8) |
Recognize the need for life-long learning; show ability to access information, to follow developments in science and technology, and to continuously educate oneself. |
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9) |
Develop an awareness of professional and ethical responsibility, and behave accordingly. Be informed about the standards used in Energy Systems Engineering applications. |
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10) |
Learn about business life practices such as project management, risk management, and change management; develop an awareness of entrepreneurship, innovation, and sustainable development. |
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11) |
Acquire knowledge about the effects of practices of Energys Systems Engineering on health, environment, security in universal and social scope, and the contemporary problems of Energys Systems engineering; is aware of the legal consequences of Energys Systems engineering solutions. |
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