TÜRKÇE
ENGLISH
Information
| Code | FZK105 |
| Name | Calculus I |
| Term | 2024-2025 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 |
| 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
In this course Functions, The rate of change of a function; limits; derivative of algebraic functions; applications of derivative, transcendantal functions; hyperbolic functions; introduction to integration are processed.
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. | |
| 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. | 4 |
| 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 | Use the advanced theoretical and practical knowledge he has acquired in the field of Physics and designs experiments related to his field. | 3 |
| 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. | 3 |
| 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 | 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 | ||