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) |
Grasp basic theoretical and conceptual knowledge about the field and relations between them at the level of practice. |
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2) |
Possess basic knowledge about the causes and effects of political transformations in societies. |
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3) |
Possess knowledge about quantitative, qualitative and mixed research methods in social and behavioral sciences. |
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4) |
Recognize historical patterns while evaluating contemporary political and social developments. |
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5) |
Demonstrate interdisciplinary and critical approach while analyzing, synthesizing and forecasting domestic and foreign policy. |
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6) |
Conduct studies in the field professionally, both independently or as a team member. |
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7) |
Possess consciousness about lifelong learning based on Research & Development. |
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8) |
Communicate with peers both orally and in writing, by using a foreign language at least at a level of European Language Portfolio B1 General Level and the necessary informatics and communication technologies. |
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9) |
Apply field-related knowledge and competences into career advancement, projects for sustainable development goals, and social responsibility initiatives. |
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10) |
Possess the habit to monitor domestic and foreign policy agenda as well as international developments. |
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11) |
Possess competence to interpret the new political actors, theories and concepts in a global era. |
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12) |
Evaluate the legal and ethical implications of advanced technologies on politics. |
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