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 engineering subjects pertaining to the relevant discipline; ability to use theoretical and applied knowledge in these areas in complex engineering problems. |
1 |
2) |
Ability to identify, formulate, and solve complex engineering problems; ability to select and apply proper analysis and modelling methods for this purpose. |
2 |
3) |
Ability to design a complex system, process, device or product under realistic constraints and conditions, in such a way as to meet the desired result; ability to apply modern design methods for this purpose. |
1 |
4) |
Ability to devise, select, and use modern techniques and tools needed for analysing and solving complex problems encountered in engineering practice; ability to employ information technologies effectively. |
2 |
5) |
Ability to design and conduct experiments, gather data, analyse and interpret results for investigating complex engineering problems or discipline specific research questions. |
2 |
6) |
Ability to work efficiently in intra-disciplinary and multi-disciplinary teams; ability to work individually. |
1 |
7) |
Ability to communicate effectively in Turkish, both orally and in writing; knowledge of a minimum of one foreign language; ability to write effective reports and comprehend written reports, prepare design and production reports, make effective presentations, and give and receive clear and intelligible instructions. |
2 |
8) |
Recognition of the need for lifelong learning; ability to access information, to follow developments in science and technology, and to continue to educate him/herself. |
1 |
9) |
Consciousness to behave according to ethical principles and professional and ethical responsibility; knowledge on standards used in engineering practice. |
1 |
10) |
Knowledge about business life practices such as project management, risk management, and change management; awareness in entrepreneurship, innovation; knowledge about sustainable development. |
3 |
11) |
Knowledge about the global and social effects of engineering practices on health, environment, and safety, and contemporary issues of the century reflected into the field of engineering; awareness of the legal consequences of engineering solutions |
1 |