Week |
Subject |
Related Preparation |
1) |
Classification of differential equations, Explicit solution, implicit solution, Initial Value Problems, Integrals as General and Particular Solutions. |
|
2) |
Existence and Uniqueness of Solution. Separable Differential Equations.
|
|
3) |
First Order Linear Differential Equations.
|
|
4) |
Substitutions methods. Homogeneous Differential Equations. Bernoulli Differential Equations.
|
|
5) |
Exact Differential Equations.
|
|
6) |
Population models. Reducible second order equations.
|
|
7) |
Theory of Higher Order Linear Differential Equations, Existence and Uniqueness Theorem, Linear Dependence and Independence, Representation of Solutions for Homogeneous and Nonhomogeneous Cases. |
|
8) |
Homogeneous Linear Equations with Constant Coefficients. Euler Equations. |
|
9) |
Solution of Nonhomogeneous Linear Differential Equations. Method of Undetermined Coefficients. |
|
10) |
Solution of Nonhomogeneous Linear Differential Equations. Method of Variation of Parameters. |
|
11) |
Theory of Systems of Linear Differential Equations. |
|
12) |
The Eigenvalue Method for Systems of Linear Differential Equations. |
|
13) |
Laplace Transforms: Definition of the Laplace Transform, Properties of the Laplace Transform. Inverse Laplace Transform. |
|
14) |
Solution of Differential Equations by using Laplace Transform. |
|
|
Program Outcomes |
Level of Contribution |
1) |
Using the theoretical/conceptual and practical knowledge acquired for architectural design, design activities and research. |
|
2) |
Identifying, defining and effectively discussing aesthetic, functional and structural requirements for solving design problems using critical thinking methods. |
|
3) |
Being aware of the diversity of social patterns and user needs, values and behavioral norms, which are important inputs in the formation of the built environment, at local, regional, national and international scales. |
|
4) |
Gaining knowledge and skills about architectural design methods that are focused on people and society, sensitive to natural and built environment in the field of architecture. |
|
5) |
Gaining skills to understand the relationship between architecture and other disciplines, to be able to cooperate, to develop comprehensive projects; to take responsibility in independent studies and group work. |
|
6) |
Giving importance to the protection of natural and cultural values in the design of the built environment by being aware of the responsibilities in terms of human rights and social interests. |
|
7) |
Giving importance to sustainability in the solution of design problems and the use of natural and artificial resources by considering the social, cultural and environmental issues of architecture. |
|
8) |
Being able to convey and communicate all kinds of conceptual and practical thoughts related to the field of architecture by using written, verbal and visual media and information technologies. |
|
9) |
Gaining the ability to understand and use technical information about building technology such as structural systems, building materials, building service systems, construction systems, life safety. |
|
10) |
Being aware of legal and ethical responsibilities in design and application processes. |
|