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) |
To gain both theoretical and practical knowledge about physical, cognitive, social-emotional aspects of child development. |
4 |
2) |
To display actions in professional practice based on ethical principles and values. |
5 |
3) |
To adopt the principle of lifelong learning, using efficient ways for accessing information. |
5 |
4) |
To know the stages of child development and to be able to use models / theories efficiently for supporting children's cognitive, affective and psycho-motor development. |
5 |
5) |
To plan, implement and evaluate professional projects, research and events with a sense of social responsibility, |
5 |
6) |
To be able to use effective communication methods in counseling and child and family-based guidance. |
3 |
7) |
To be sensitive to the child and family-related issues taking into account the child's stages of development, and to implement strategies for personal development of child and education methods which are vital for leading effective and productive life. |
5 |
8) |
To use the education and communication materials according to the child development stage, and to create proper educational environment. |
5 |
9) |
To take responsibilities in the field of child development and education using interdisciplinary approach, and to use information technologies, and to engage in projects and activities. |
5 |
10) |
To use health information technologies for research in the field of child development. |
5 |
11) |
To be able to monitor occupational information using at least one foreign language, to collaborate and communicate with colleagues at international level. |
5 |
12) |
To become a good example for colleagues and society, and represent efficiently the professional identity using advanced knowledge about child development. |
5 |