| 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 |
|
| 16) |
Final Exam Week |
|
| 17) |
Final Exam Week |
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| |
Program Outcomes |
Level of Contribution |
| 1) |
Having advanced theoretical and practical knowledge supported by textbooks, application tools and other resources containing current information in the field. |
|
| 2) |
Ability to use advanced theoretical and practical knowledge acquired in the field. |
|
| 3) |
Ability to interpret and evaluate data, identify and analyze problems, and develop solution suggestions based on research and evidence, using the advanced knowledge and skills acquired in the field. |
|
| 4) |
To be able to inform relevant people and institutions on issues related to the field; Ability to convey thoughts and solution suggestions to problems in written and oral form. |
|
| 5) |
Ability to share one's thoughts on issues related to one's field and solutions to problems, supported by quantitative and qualitative data, with experts and non-experts. |
|
| 6) |
Ability to organize and implement projects and events for the social environment in which one lives with awareness of social responsibility. |
|
| 7) |
Ability to monitor knowledge in the field and communicate with colleagues by using a foreign language at least at the European Language Portfolio B1 General Level. |
|
| 8) |
Ability to use information and communication technologies along with computer software at least at the Advanced Level of the European Computer Usage License required by the field. |
|
| 9) |
Acting in accordance with social, scientific, cultural and ethical values during the collection, interpretation, application and announcement of the results of data related to the field. |
|
| 10) |
Having sufficient awareness about the universality of social rights, social justice, quality culture and protection of cultural values, environmental protection, occupational health and safety. |
|
| 11) |
Ability to evaluate the advanced knowledge and skills acquired in the field with a critical approach. |
|
| 12) |
Ability to identify learning needs and direct learning |
|
| 13) |
Being able to develop a positive attitude towards lifelong learning. |
|
| 14) |
Ability to independently carry out an advanced study related to the field. |
|
| 15) |
Ability to take responsibility individually and as a team member to solve unforeseen complex problems encountered in field-related applications. |
|
| 16) |
Ability to plan and manage activities aimed at the development of the employees under his/her responsibility within the framework of a project. |
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Istanbul Health and Technology University INFORMATION PACKAGE / COURSE CATALOGUE