TÜRKÇE
ENGLISH
Information
| Code | FZK106 |
| Name | Calculus II |
| Term | 2022-2023 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 |
Doç. Dr. DİLEK KAHYALAR
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim of this course is to teach basic mathematics for pyhsics students
Course Content
Definite and undefinite integrals, application of ıntegrals, Series, multiple integral
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. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Evaluate the developmets in the field of Physics by using scientific methods and techniques. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Combine the knowledge in the field of physics with the other scientific area | 5 |
| PLO04 | Bilgi - Kuramsal, Olgusal | Identify problems in the field of physics and for the solutions apply the analytical and simulative methods. | 4 |
| PLO05 | Bilgi - Kuramsal, Olgusal | Explain the methods of producing scientific knowledge in the field of physics | 4 |
| PLO06 | Bilgi - Kuramsal, Olgusal | Reach the Information in the field of physics, for the purpose of classification, and uses. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Use the advanced theoretical and practical knowledge acquired in the field of physics. | 5 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Design experiments in the field of physics. | 3 |
| PLO09 | Bilgi - Kuramsal, Olgusal | Inform the specialist or non-specialist groups, orally or in writing on issues related to physics. | |
| PLO10 | Bilgi - Kuramsal, Olgusal | Use the information technologies in Physics area for their purpose. | 4 |
| PLO11 | Bilgi - Kuramsal, Olgusal | Take responsibility as a team or alone to overcome the problems encountered in the field of physics . | 5 |
| PLO12 | Bilgi - Kuramsal, Olgusal | Plan and manage the activities for the professional developments of emplyees under his/her responsibilities. | 4 |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Classify, use and critically evaluate the knowledg taken by his/her efforts. | 4 |
| PLO14 | Beceriler - Bilişsel, Uygulamalı | Know that learning process is life-long and acts accordingly. | 5 |
| PLO15 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Both with colleagues, as well as off the field of builds relationships ethically use information, communication technologies. Define necessities in learning in scientific, social, cultural and artistic areas and improve himself/herself accordingly. | 3 |
| PLO16 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Have knowledge of a foreign language at least monitoring developments in the field of physics. | |
| PLO17 | Yetkinlikler - Öğrenme Yetkinliği | Know the importance of individual development. | 5 |
| PLO18 | Yetkinlikler - Öğrenme Yetkinliği | Monitor the developments in the field of physics, learn and evaluate in terms of social ethics. | 5 |
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 | ||