| Course Description |
This course introduces ordinary differential equations, discusses their methods of solutions and introduces vector-valued functions Topics include: First order differential equations, second order linear differential equations, higher order linear differential equations, series solutions of linear differential equations, initial value problems, Laplace transforms and systems of first order linear differential equations. Vector-valued functions, the divergence and curl of vector-valued functions and their geometric applications.
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| Course Description in Turkish |
Bu ders diferansiyel denklemleri, onların çözüm yöntemlerini ve vektör-değerlikli fonksiyonları kapsar. Kapsanan konular: Birinci mertebeden diferansiyel denklemler, ikinci mertebeden diferansiyel denklemler, yüksek mertebeden diferansiyel denklemler, diferansiyel denklemlerin seri çözümü, başlangıç değer problemleri, Laplace dönüşümü ve birinci mertebeden diferansiyel denklem sistemleri. Vektör-değerlikli fonksiyonlar, diverjans, rotasyonel işlemleri ve geometric uygulamaları. |
Course Learning Outcomes and Competences
Upon successful completion of the course, the learner is expected to be able to:
1) an ability to identify, formulate, and solve complex engineering
problems by applying principles of engineering, science, and
mathematics
2) an ability to apply engineering design to produce solutions that meet specified needs with consideration of public health, safety, and welfare, as well as global, cultural, social, environmental, and economic factors
3) an ability to communicate effectively with a range of audiences
4) an ability to recognize ethical and professional responsibilities in engineering situations and make informed judgments, which must consider the impact of engineering solutions in global, economic, environmental, and societal contexts
5) an ability to function effectively on a team whose members together provide leadership, create a collaborative and inclusive environment, establish goals, plan tasks, and meet objectives
6) an ability to develop and conduct appropriate experimentation, analyze and interpret data, and use engineering judgment to draw conclusions
7) an ability to acquire and apply new knowledge as needed, using appropriate learning strategies
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Program Outcomes and Competences |
Level |
Assessed by |
| 1) |
Thorough knowledge of the major concepts, theoretical perspectives, empirical findings, and historical trends in psychology. |
N |
|
| 2) |
Understanding of and ability to apply essential research methods in psychology, including research design, data analysis, and data interpretation. |
N |
|
| 3) |
Competence to use critical and creative thinking, skeptical inquiry and a scientific approach to solving problems related to behavior and mental processes. |
H |
Exam,HW,Participation
|
| 4) |
Understanding and ability to apply psychological principles, skills and values in personal, social, and organizational contexts. |
N |
|
| 5) |
Ability to weigh evidence, to tolerate ambiguity, and to reflect other values that underpin psychology as a discipline. |
N |
|
| 6) |
Internalization and dissemination of professional ethical standards. |
N |
|
| 7) |
Demonstration of competence in information technologies, and the ability to use computer and other technologies for purposes related to the pursuit of knowledge in psychology and the broader social sciences. |
N |
|
| 8) |
Skills to communicate the knowledge of psychological science effectively, in a variety of formats, in both Turkish and in English (in English, at least CEFR B2 level). |
N |
|
| 9) |
Recognition, understanding, and respect for the complexity of sociocultural and international diversity. |
S |
Participation
|
| 10) |
Recognition for the need for, and the skills to pursue, lifelong learning, inquiry, and self-improvement. |
S |
HW,Participation
|
| 11) |
Ability to formulate critical hypotheses based on psychological theory and literature, and design studies to test those hypotheses. |
N |
|
| 12) |
Ability to acquire knowledge independently, and to plan one’s own learning. |
S |
Exam,HW
|
| 13) |
Demonstration of advanced competence in the clarity and composition of written work and presentations. |
H |
Exam,HW
|
| Week |
Subject |
| 1) |
First order differential equations |
| 2) |
First order differential equations |
| 3) |
Second order linear differential equations |
| 4) |
Second order linear differential equations |
| 5) |
Higher order linear differential equations |
| 6) |
Series solutions of linear differential equations |
| 7) |
Series solutions of linear differential equations |
| 8) |
Initial value problems and Laplace transform |
| 9) |
Initial value problems and Laplace transform |
| 10) |
Initial value problems and Laplace transform |
| 11) |
System of linear differential equations |
| 12) |
System of linear differential equations |
| 13) |
Vector-valued functions, the divergence and curl of vector-valued functions and their geometric applications |
| 14) |
Vector-valued functions, the divergence and curl of vector-valued functions and their geometric applications |
| 15) |
Final Examination/Project/Presentation Period |
| 16) |
Final Examination/Project/Presentation Period |
Information Package / Course Catalogue