Week |
Subject |
Related Preparation |
1) |
Classification of differential equations, Explicit solution, implicit solution, Initial Value Problems, Integrals as General and Particular Solutions. |
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2) |
Existence and Uniqueness of Solution. Separable Differential Equations.
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3) |
First Order Linear Differential Equations.
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4) |
Substitutions methods. Homogeneous Differential Equations. Bernoulli Differential Equations.
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5) |
Exact Differential Equations.
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6) |
Population models. Reducible second order equations.
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7) |
Theory of Higher Order Linear Differential Equations, Existence and Uniqueness Theorem, Linear Dependence and Independence, Representation of Solutions for Homogeneous and Nonhomogeneous Cases. |
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8) |
Homogeneous Linear Equations with Constant Coefficients. Euler Equations. |
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9) |
Solution of Nonhomogeneous Linear Differential Equations. Method of Undetermined Coefficients. |
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10) |
Solution of Nonhomogeneous Linear Differential Equations. Method of Variation of Parameters. |
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11) |
Theory of Systems of Linear Differential Equations. |
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12) |
The Eigenvalue Method for Systems of Linear Differential Equations. |
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13) |
Laplace Transforms: Definition of the Laplace Transform, Properties of the Laplace Transform. Inverse Laplace Transform. |
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14) |
Solution of Differential Equations by using Laplace Transform. |
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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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