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) |
As a world citizen, she is aware of global economic, political, social and ecological developments and trends. |
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2) |
He/she is equipped to closely follow the technological progress required by global and local dynamics and to continue learning. |
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3) |
Absorbs basic economic principles and analysis methods and uses them to evaluate daily events. |
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4) |
Uses quantitative and statistical tools to identify economic problems, analyze them, and share their findings with relevant stakeholders. |
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5) |
Understands the decision-making stages of economic units under existing constraints and incentives, examines the interactions and possible future effects of these decisions. |
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6) |
Comprehends new ways of doing business using digital technologies. and new market structures. |
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7) |
Takes critical approach to economic and social problems and develops analytical solutions. |
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8) |
Has the necessary mathematical equipment to produce analytical solutions and use quantitative research methods. |
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9) |
In the works he/she contributes, observes individual and social welfare together and with an ethical perspective. |
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10) |
Deals with economic problems with an interdisciplinary approach and seeks solutions by making use of different disciplines. |
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11) |
Generates original and innovative ideas in the works she/he contributes as part of a team. |
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