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 and statistics, to use them, to understand how the mechanism of economy –both at micro and macro levels – works. |
3 |
2) |
Understand the common as well as distinctive characters of the markets, industries, market regulations and policies. |
2 |
3) |
Develop an awareness of different approaches to the economic events and why and how those approaches have been formed through the Economic History and understand the differences among those approaches by noticing at what extent they could explain the economic events. |
1 |
4) |
Analyze the interventions of politics to the economics and vice versa. |
3 |
5) |
Apply the economic analysis to everyday economic problems and evaluate the policy proposals for those problems by comparing opposite approaches. |
2 |
6) |
Understand current and new economic events and how the new approaches to the economics are formed and evaluating. |
2 |
7) |
Develop the communicative skills in order to explain the specific economic issues/events written, spoken and graphical form. |
3 |
8) |
Know how to formulate the economics problems and issues and define the solutions in a well-formed written form, which includes the hypothesis, literature, methodology and results / empirical evidence. |
2 |
9) |
Demonstrate the quantitative and qualitative capabilities and provide evidence for the hypotheses and economic arguments. |
2 |
10) |
Understand the information and changes related to the economy by using a foreign language and communicate with colleagues. |
3 |