TÜRKÇE
ENGLISH
Information
| Code | FZK105 |
| Name | Calculus I |
| Term | 2023-2024 Academic Year |
| Semester | 1. 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 |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Doç. Dr. NERGİZ POYRAZ |
| Course Instructor |
Doç. Dr. NERGİZ POYRAZ
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The aim of this course is to teach basic mathematics for pyhsics students
Course Content
Functions, The rate of change of a function; limits; derivative of algebraic functions; applications of derivative, transcendantal functions; hyperbolic functions; introduction to integration
Course Precondition
None
Resources
Analize Giriş Cilt I Fikri Akdeniz, Yusuf ÜNLÜ, Doğan DÖNMEZ
Notes
D. Brannan, A First Course in Mathematical Analysis
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | recognize and classify numbers and functions. |
| LO02 | define and express limit and derivative |
| LO03 | Associate the derivative with its applications |
| LO04 | find the extremum values of functions |
| LO05 | draw the graphics of the functions |
| LO06 | recognize Taylor Formula and their applications. |
| LO07 | apply Hospital Rule where it is appropriate |
| LO08 | learn the natural logarithma and exponantial 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. | 4 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Evaluate the developmets in the field of Physics by using scientific methods and techniques. | 4 |
| 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 | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Reach the Information in the field of physics, for the purpose of classification, and uses. | 4 |
| PLO07 | Bilgi - Kuramsal, Olgusal | Use the advanced theoretical and practical knowledge acquired in the field of physics. | 3 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Design experiments in the field of physics. | 2 |
| 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. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Take responsibility as a team or alone to overcome the problems encountered in the field of physics . | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Plan and manage the activities for the professional developments of emplyees under his/her responsibilities. | 3 |
| 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. | 4 |
| 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. | 3 |
| PLO18 | Yetkinlikler - Öğrenme Yetkinliği | Monitor the developments in the field of physics, learn and evaluate in terms of social ethics. | 4 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Basic Concepts, Real Numbers, Number Axis, Intervals, Inequalities | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Tartışma |
| 2 | Functions, Composition, Functions Inverse Functions and Graphs | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Tartışma |
| 3 | trigonometric Functions | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 4 | Definition and Calculation Limit, Limit theorems, Infinite Limits, Uncertainties | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 5 | Continuity, discontinuity, and their types | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 6 | Derivatives and Derivative Rules | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 7 | Derivatives of Trigonometric Functions | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap |
| 8 | Mid-Term Exam | Study for the exam | Öğretim Yöntemleri: Soru-Cevap |
| 9 | Enhancements and Differentials | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 10 | Extreme Values of Functions | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 11 | Rolle Theorem, Mean Value Theorem | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 12 | Ambiguous Figures and Hopital Rule, Taylor Remainder Theorem and Applications | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 13 | Inverse Functions and Their Derivatives | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 14 | Logarithm function, properties of the logarithm and Their Derivatives | Read the related chapter in the book | Öğretim Yöntemleri: Anlatım, Soru-Cevap, Tartışma |
| 15 | Exponential function, Properties of the exponential function and Their Derivatives | 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 | ||