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 Energy Systems Engineering subjects; use theoretical and applied information in these areas to model and solve complex engineering problems. |
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2) |
Ability to identify, formulate, and solve complex Energy Systems Engineering problems; select and apply proper modeling and analysis methods for this purpose.
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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. |
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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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