TÜRKÇE
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Information
| Code | FZK106 |
| Name | Calculus II |
| Term | 2024-2025 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 4-2 (T-A) (17 Week) |
| ECTS | 7 ECTS |
| National Credit | 5 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. NERGİZ POYRAZ |
| Course Instructor |
1 2 |
Course Goal / Objective
The aim of this course is to teach basic mathematics for pyhsics students
Course Content
In this course Definite and undefinite integrals, application of ıntegrals, Series, multiple integral are processed.
Course Precondition
None
Resources
Analize Giriş Cilt 2 Fikri Akdeniz, Yusuf ÜNLÜ, Doğan DÖNMEZ
Notes
D. Brannan, A First Course in Mathematical Analysis
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | To get information about the arrays and series |
| LO02 | Learn the applications of the arrays and series |
| LO03 | To learn limits and continuity operations in multivariable functions |
| LO04 | Learn the properties of indefinite integrals |
| LO05 | Learn the properties of definite integrals |
| LO06 | Use definite integrals in calculations of area and volume |
| LO07 | Use definite integrals in calculations of moment and center of mass |
| LO08 | Take the integrals of various functions. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Explain the basic concepts and principles in the field of physics. | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Follows the developments in the field of Physics and uses scientific methods and techniques. | 3 |
| PLO03 | Bilgi - Kuramsal, Olgusal | Combine the knowledge gained in the field of Physics with the knowledge in other scientific fields and explains the method of producing scientific knowledge. | 2 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Identify problems in the field of physics and for the solutions apply the analytical and simulative methods. | 3 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Use the advanced theoretical and practical knowledge he has acquired in the field of Physics and designs experiments related to his field. | 2 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Take responsibility as a team or alone to overcome the problems encountered in the field of physics . | |
| PLO07 | Beceriler - Bilişsel, Uygulamalı | Classify, use and critically evaluate the knowledg taken by his/her efforts. | |
| PLO08 | Beceriler - Bilişsel, Uygulamalı | Improves himself by knowing that the learning process is lifelong. | 4 |
| PLO09 | Yetkinlikler - Öğrenme Yetkinliği | Knowing the importance of individual development, she/he implements what is necessary. | 4 |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Evaluates the developments in the field of physics in terms of social ethics by watching and learning them. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Arrays, Theorems for Calculation of Limits of Arrays | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 2 | Series, Infinite series, Convergence of Series, Ratio and Root Tests | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 3 | Power series, Taylor and Maclaurin series, Binomial Theorem, Applications of Power Series | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 4 | Definition and Properties of Definite Integral, Fundamental Theorem of Calculus | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 5 | Indefinite Integrals and the Transformation Rule | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 6 | Applications of definite integrals, Volume Calculations and Rotation About an Axis I | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 7 | Applications of definite integrals, Volume Calculations and Rotation About an Axis II | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 8 | Mid-Term Exam | prepare themselves for the exam | Öğretim Yöntemleri: Soru-Cevap |
| 9 | Lengths of Plane Curves, Rotary Surface Areas and Papus Theorems | Read the related chapter in the book | Öğretim Yöntemleri: Soru-Cevap, Tartışma |
| 10 | Moments and Weight Centers | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 11 | Integration Techniques, Partial Integration, Integration of Rational Functions | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 12 | Trigonometric Transformations and Trigonometric Integrals | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 13 | Multivariable Calculus, Higher Dimensions Limits and Continuity | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 14 | Double Integrals | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 15 | Triple Integrals | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 16 | Term Exams | Study for the exam | Ölçme Yöntemleri: Yazılı Sınav |
| 17 | Term Exams | Study for the exam | Ölçme Yöntemleri: Yazılı Sınav |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 4 | 56 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 4 | 56 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 18 | 18 |
| Final Exam | 1 | 36 | 36 |
| Total Workload (Hour) | 166 | ||
| Total Workload / 25 (h) | 6,64 | ||
| ECTS | 7 ECTS | ||