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) |
Adequate knowledge in mathematics, science, and related engineering discipline; ability to use theoretical and practical knowledge in these areas in complex engineering problems. |
1 |
2) |
An ability to detect, identify, formulate, and solve complex engineering problems; the ability to select and apply appropriate analysis and modelling methods for this purpose. |
1 |
3) |
An ability to design a complex system, process, device, or product to meet specific requirements under realistic constraints and conditions; the ability to apply modern design methods for this purpose. |
2 |
4) |
An ability to develop, select and use modern techniques and tools necessary for the analysis and solution of complex problems in engineering applications. |
2 |
5) |
An ability to use information technologies effectively. |
2 |
6) |
Ability to design, conduct experiments, collect data, analyse, and interpret results to investigate complex engineering problems or discipline-specific research topics. |
1 |
7) |
Ability to work effectively in disciplinary and multidisciplinary teams; ability to work individually. |
1 |
8) |
Ability to communicate effectively in oral and written Turkish. |
2 |
9) |
Knowledge of at least one foreign language. |
1 |
10) |
Ability to write effective reports and understand written reports, to prepare design and production reports, to make effective presentations, to give clear and understandable instructions. |
3 |
11) |
Awareness of the necessity of lifelong learning; ability to access information, follow developments in science and technology and ability to renew themselves. |
2 |