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) |
To be able to use advanced theoretical and practical knowledge acquired in the field |
1 |
2) |
To be able to interpret and evaluate data using advanced knowledge and skills acquired in the field, to be able to identify and analyze problems, to be able to develop solutions based on research and evidence. |
1 |
3) |
To be able to plan and manage activities for the development of employees under his/her responsibility within the framework of a project. |
2 |
4) |
To act in accordance with social, scientific, cultural and ethical values in the stages of collecting, interpreting, applying and announcing the results of data related to the field. |
1 |
5) |
To be able to carry out an advanced level study related to the field independently. |
2 |
6) |
To be able to take responsibility individually and as a team member to solve complex and unforeseen problems encountered in applications related to the field. |
1 |
7) |
To have advanced theoretical and practical knowledge supported by textbooks, application tools and other resources containing up-to-date information in the field. |
2 |
8) |
To have sufficient awareness of the universality of social rights, social justice, quality culture and protection of cultural values, environmental protection, occupational health and safety. |
1 |
9) |
To be able to inform the relevant people and institutions about the issues related to the field; to be able to convey his / her thoughts and suggestions for solutions to problems in written and orally. |
2 |
10) |
To be able to share his/her thoughts and suggestions for solutions to problems related to his/her field with experts and non-experts by supporting them with quantitative and qualitative data. |
1 |
11) |
To be able to organize and implement projects and activities for the social environment in which he/she lives with a sense of social responsibility |
1 |
12) |
To be able to evaluate the advanced knowledge and skills acquired in the field with a critical approach |
1 |
13) |
To be able to identify their learning needs and direct their learning |
1 |