Week |
Subject |
Related Preparation |
1) |
Entrance; Classification of Differential Equations; First Order Differential Equations; Linear Equations; Integral Factors Method |
W.E. Boyce, R.C. DiPrima, D.B. Meade, Boyce's Elementary Differential Equations and Boundary Value Problems, 11th Edition, John Wiley & Sons, Inc., 2017 |
2) |
Separable Equations; Homogeneous Equations; Exact Differentials and Integral Factor; Existence and Uniqueness Theorem |
W.E. Boyce, R.C. DiPrima, D.B. Meade, Boyce's Elementary Differential Equations and Boundary Value Problems, 11th Edition, John Wiley & Sons, Inc., 2017 |
3) |
Second Order Linear Equations; Homogeneous Equations with Constant Coefficients; Solutions of Linear and Homogeneous Equations; Wronskian |
W.E. Boyce, R.C. DiPrima, D.B. Meade, Boyce's Elementary Differential Equations and Boundary Value Problems, 11th Edition, John Wiley & Sons, Inc., 2017 |
4) |
Complex Roots of Characteristic Equation, Repetitive Roots; Rank Demotion |
W.E. Boyce, R.C. DiPrima, D.B. Meade, Boyce's Elementary Differential Equations and Boundary Value Problems, 11th Edition, John Wiley & Sons, Inc., 2017 |
5) |
Non-homogeneous Differential Equations; Uncertain Coefficients Method, Variation of Parameters |
W.E. Boyce, R.C. DiPrima, D.B. Meade, Boyce's Elementary Differential Equations and Boundary Value Problems, 11th Edition, John Wiley & Sons, Inc., 2017 |
6) |
Higher Order Linear Equations; n. General Theory of Order Linear Equations; Homogeneous Equations with Constant Coefficients |
W.E. Boyce, R.C. DiPrima, D.B. Meade, Boyce's Elementary Differential Equations and Boundary Value Problems, 11th Edition, John Wiley & Sons, Inc., 2017 |
7) |
Uncertain Coefficients Method, Variation of Parameters Method |
W.E. Boyce, R.C. DiPrima, D.B. Meade, Boyce's Elementary Differential Equations and Boundary Value Problems, 11th Edition, John Wiley & Sons, Inc., 2017 |
8) |
Definition of Laplace Transform, Solutions of Initial Value Problems |
W.E. Boyce, R.C. DiPrima, D.B. Meade, Boyce's Elementary Differential Equations and Boundary Value Problems, 11th Edition, John Wiley & Sons, Inc., 2017 |
9) |
Systems of First Order Linear Equations; Review of Matrices, Systems of Linear Algebraic Equations; Linear Independence, Eigenvalues, Eigenvectors |
W.E. Boyce, R.C. DiPrima, D.B. Meade, Boyce's Elementary Differential Equations and Boundary Value Problems, 11th Edition, John Wiley & Sons, Inc., 2017 |
10) |
First Order Linear Equation Basic Theory of Systems; Homogeneous Linear Systems with Constant Coefficients; Complex Eigenvalues |
W.E. Boyce, R.C. DiPrima, D.B. Meade, Boyce's Elementary Differential Equations and Boundary Value Problems, 11th Edition, John Wiley & Sons, Inc., 2017 |
11) |
Fundamental Matrices, Repeated Eigenvalues, Non-homogeneous Linear Systems |
W.E. Boyce, R.C. DiPrima, D.B. Meade, Boyce's Elementary Differential Equations and Boundary Value Problems, 11th Edition, John Wiley & Sons, Inc., 2017 |
12) |
Series Solutions of Quadratic Equations; Series Solutions Near an Ordinary Point |
W.E. Boyce, R.C. DiPrima, D.B. Meade, Boyce's Elementary Differential Equations and Boundary Value Problems, 11th Edition, John Wiley & Sons, Inc., 2017 |
13) |
Euler's Equations; Regular Singular Points |
W.E. Boyce, R.C. DiPrima, D.B. Meade, Boyce's Elementary Differential Equations and Boundary Value Problems, 11th Edition, John Wiley & Sons, Inc., 2017 |
14) |
Series Solutions Near Regular Singular Point |
W.E. Boyce, R.C. DiPrima, D.B. Meade, Boyce's Elementary Differential Equations and Boundary Value Problems, 11th Edition, John Wiley & Sons, Inc., 2017 |
15) |
Final Exam Week |
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16) |
Final Exam Week |
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17) |
Final Exam Week |
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Program Outcomes |
Level of Contribution |
1) |
Ability to utilize advanced theoretical and applied knowledge in the field. |
1 |
2) |
Using the advanced knowledge and skills acquired in the field, being able to interpret and evaluate data, identify problems, analyze them, and develop solution proposals based on research and evidence. |
2 |
3) |
Being able to organize and implement projects and activities for the social environment in which one lives with a sense of social responsibility. |
2 |
4) |
Being able to follow information in one foreign language at least at the European Language Portfolio B1 General Level and communicate with colleagues in the field. |
1 |
5) |
Ability to use information and communication technologies together with at least European Computer Driving License Advanced Level computer software, as required by the field. |
1 |
6) |
Being able to evaluate advanced knowledge and skills in the field critically. |
1 |
7) |
Identifying learning needs and being able to direct learning. |
2 |
8) |
Developing a positive attitude towards lifelong learning. |
1 |
9) |
Acting in accordance with social, scientific, cultural, and ethical values in the stages of collecting, interpreting, applying, and announcing the results related to the field. |
1 |
10) |
Having sufficient awareness about the universality of social rights, social justice, quality culture, preservation of cultural values, as well as environmental protection, occupational health, and safety. |
2 |
11) |
Being able to conduct an advanced study independently in the field. |
2 |
12) |
To take responsibility individually and as a team member to solve complex problems encountered in the field of application, which are unforeseen. |
1 |
13) |
Being able to plan and manage activities for the development of those under their responsibility within the framework of a project. |
2 |
14) |
Possess advanced level theoretical and practical knowledge supported by textbooks with updated information, practice equipments and other resources. |
1 |
15) |
Being able to inform relevant individuals and institutions about the field; expressing their thoughts and solution proposals for problems both in written and verbal form. |
3 |
16) |
Being able to share your thoughts and solutions regarding subjects related to the field with both experts and non-experts, supported by quantitative and qualitative data. |
1 |