Week |
Subject |
Related Preparation |
1) |
Errors, Big O Notation, Stability and Condition Number, Taylor’s Theorem. |
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2) |
The Solution of Nonlinear Equations in the form of f(x)=0: Bisection Method, Fixed Point Iteration. |
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3) |
Newton-Rapson Method, Secant Method. |
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4) |
The Solution of Linear System : Solving Triangular System, Gauss Elimination and Pivoting. |
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5) |
LU Factorization, Tridiagonal System, Vector and Matrix Norms |
|
6) |
Sensitivity of Linear Equations. Condition Number and Stability. |
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7) |
Iterative Methods for Linear Systems: Jacobi Method. |
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8) |
Gauss Seidel Method. Diagonally Dominant Matrix. Errors in Solving Linear Systems. |
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9) |
Eigenvalues and Eigenvectors: The Power Method. The Inverse Power Method. |
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10) |
System of Nonlinear Equations: Newton’s Method. |
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11) |
Interpolating and Polynomial Approximation: Lagrange interpolation polynomial, Newton Interpolation. |
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12) |
Piecewise Linear Interpolation, Cubic Spline. |
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13) |
Least Square Approximation: Curve Fitting. |
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14) |
Inconsistent System of Equations. Errors in Interpolation . |
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Program Outcomes |
Level of Contribution |
1) |
Build up a body of knowledge in mathematics, science and engineering subjects; use theoretical and applied information in these areas to model and solve engineering problems. |
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2) |
identify, formulate, and solve complex engineering problems; select and apply proper analysis and modeling methods for this purpose. |
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3) |
Design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; apply modern design methods for this purpose. (Realistic constraints and conditions may include factors such as economic and environmental issues, sustainability, manufacturability, ethics, health, safety issues, and social and political issues, according to the nature of the design.) |
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4) |
Devise, select, and use modern techniques and tools needed for engineering management practice; employ information technologies effectively. |
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5) |
Design and conduct experiments, collect data, analyze and interpret results for investigating engineering management problems. |
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6) |
Cooperate efficiently in intra-disciplinary and multi-disciplinary teams; and show self-reliance when working independently. |
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7) |
Demonstrate effective communication skills in both oral and written English and Turkish. |
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8) |
Recognize the need for lifelong learning; show ability to access information, to follow developments in science and technology, and to continuously educate him/herself. |
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9) |
Develop an awareness of professional and ethical responsibility. |
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10) |
Know 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) |
Know contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; recognize the legal consequences of engineering solutions. |
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12) |
Develop effective and efficient managerial skills. |
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