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 |
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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) |
Adequate knowledge in mathematics, science and civil engineering; the ability to use theoretical and practical knowledge in these areas in complex engineering problems. |
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2) |
Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modeling methods for this purpose. |
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3) |
Ability to design a complex system, process, structural and/or structural members to meet specific requirements under realistic constraints and conditions; ability to apply modern design methods for this purpose. |
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4) |
Ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems encountered in civil engineering applications; ability to use civil engineering technologies effectively. |
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5) |
Ability to design, conduct experiments, collect data, analyze and interpret results for the study of complex engineering problems or civil engineering research topics. |
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6) |
Ability to work effectively within and multi-disciplinary teams; individual study skills. |
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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. |
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8) |
Awareness of the necessity of lifelong learning; ability to access information to follow developments in civil engineering technology. |
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9) |
To act in accordance with ethical principles, professional and ethical responsibility; having awareness of the importance of employee workplace health and safety. |
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10) |
Information about business life practices such as project management, risk management, and change management; awareness of entrepreneurship, innovation, and sustainable development. |
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11) |
Knowledge about contemporary issues and the global and societal effects of engineering practices on health, environment, and safety; awareness of the legal consequences of civil engineering solutions. |
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