Course Title | Code | Language | Type | Semester | L+U Hour | Credits | ECTS |
---|---|---|---|---|---|---|---|
Analysis II | MAT124 | Turkish | Compulsory | 2. Semester | 4 + 2 | 5.0 | 6.0 |
Prerequisite Courses | |
Course Level | Undergraduate |
Mode of delivery | Lecturing |
Course Coordinator | Prof. Dr. İlhame AMİRALİ |
Instructor(s) | |
Goals | To provide students the information aboutthe concept of integration, integration techniques, the applications of integrals, sequences and series. |
Course Content | Indefinite Integrals, Integral Methods (Changes of Variables, Integration by Parts, Reduction Formulas), Binom Integral and Its Properties, The Integral of Root Funcitons, Introduction to Definite Integral, The Integral of Step Functions, The Riemann Integral and Its Properties, Fundamental Theorem of Integral and Other Theorems,The Application of Definite Integrals (Area, Arc-Length and Volume Calculations), Series, The Concepts of Convergence and Divergence of Series, Convergence Tests, |
# | Öğrenme Kazanımı |
1 | Be able to understand the fundemental principal of defined integral |
2 | Be able to use integral in real life applications |
3 | Be able to understand series and their convergence at series |
Week | Topics/Applications | Method |
---|---|---|
1. Week | Indefinite Integrals | Class Hours |
2. Week | Integral Methods: Changes of Variables, Integration by Parts | Class Hours |
3. Week | Integration Techniques: Partial Fractions, Reduction Formulas | Class Hours |
4. Week | Binom Integral and Its Properties, The Integral of Root Funcitons | Class Hours |
5. Week | Introduction to Definite Integral, The Integral of Step Functions | Class Hours |
6. Week | The Riemann Integral and Its Properties | Class Hours |
7. Week | The Riemann Integral and Its Properties | Class Hours |
8. Week | midterm | Class Hours |
9. Week | Fundamental Theorem of Integral and Other Theorems | Class Hours |
10. Week | The Application of Definite Integrals: Area and Arc-Length Calculation | Class Hours |
11. Week | The Applicaiton of the Definite Integrals: Volumes by Integration | Class Hours |
12. Week | The Applicaiton of the Definite Integrals: Area of Surfaces of Revolution | Class Hours |
13. Week | The Concept of Series | Class Hours |
14. Week | Convergence Tests | Class Hours |
No | Program Requirements | Level of Contribution | |||||
---|---|---|---|---|---|---|---|
1 | 2 | 3 | 4 | 5 | |||
1 | Acquiring knowledge on theories and practice of education in general, subject teaching in particular, and the basic concepts and theories of the related disciplines, | ✔ | |||||
1 | Acquiring knowledge on theories and practice of education in general, subject teaching in particular, and the basic concepts and theories of the related disciplines, | ✔ | |||||
2 | Knowing how to obtain information geared towards lifelong learning, | ✔ | |||||
3 | Doing effective educational planning, organizing and evaluating based on theoretical and practical content matter and in relation to the needs of the learners, | ✔ | |||||
5 | Analyzing studies in the field with a scientific perspective, assessing the findings and offering solutions, | ✔ | |||||
6 | Acquiring academic literacy and minimum B1 level competence at a foreign language in order to pursue the global developments in the area of study, | ✔ | |||||
7 | Pursuing the scientific discussions in the field and interpreting them through scientific examination, | ✔ | |||||
8 | Forming scientific study platforms in order to solve the problems in practice, | ✔ | |||||
9 | Preparing and conducting solution-based projects in response to social problems in an effort to contribute to the School-Society collaboration | ✔ | |||||
10 | Following the developments in the field through professional activities such as literature reviews, seminars, conferences and workshops, and sharing them with other expert and non-expert individuals, | ✔ | |||||
11 | Being an innovative and self-confident intellectual with a sense of society, environment, social justice and respect for ethical values. | ✔ | |||||
12 | To be able to analyse the notions and ideas in the field by using scientific methods, to identify problems, and to develop solutions based on proofs and researches | ✔ | |||||
13 | To be able to gain ability of doing academic research | ✔ | |||||
14 | To be able to work interactively | ✔ | |||||
15 | To be able gain necessary computer software for further studies | ✔ |
Program Requirements | DK1 | DK2 | DK3 |
---|---|---|---|
PY1 | 4 | 4 | 4 |
PY2 | 3 | 3 | 3 |
PY3 | 4 | 4 | 4 |
PY5 | 4 | 4 | 4 |
PY6 | 1 | 1 | 1 |
PY7 | 4 | 4 | 4 |
PY8 | 2 | 2 | 2 |
PY9 | 4 | 4 | 4 |
PY10 | 4 | 4 | 4 |
PY11 | 2 | 2 | 2 |
PY12 | 5 | 5 | 5 |
PY13 | 3 | 3 | 3 |
PY14 | 5 | 5 | 5 |
PY15 | 1 | 1 | 1 |
Ders Kitabı veya Notu | Ders Kitabı veya Ders Notu bulunmamaktadır. |
---|---|
Diğer Kaynaklar |
|
ECTS credits and course workload | Quantity | Duration (Hour) | Total Workload (Hour) | |
---|---|---|---|---|
Ders İçi |
Class Hours | 14 | 6 | 84 |
Sınavlar |
Midterm 1 | 1 | 2 | 2 |
Homework 1 | 14 | 1 | 14 | |
Homework 2 | 10 | 1 | 10 | |
Quiz 1 | 1 | 1 | 1 | |
Final | 1 | 2 | 2 | |
Practice | 14 | 1.5 | 21 | |
Practice End-Of-Term | 14 | 1 | 14 | |
Classroom Activities | 14 | 1 | 14 | |
Total Workload | 162 | |||
*AKTS = (Total Workload) / 25,5 | ECTS Credit of the Course | 6.0 |