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Information
| Unit | FACULTY OF EDUCATION |
| ELEMENTARY MATHEMATICS EDUCATION PR. | |
| Code | MATZ103 |
| Name | Calculus I |
| Term | 2019-2020 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | FE Field Education Courses C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. PERİHAN DİNÇ ARTUT |
| Course Instructor |
Prof. Dr. PERİHAN DİNÇ ARTUT
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The main objective of this course is the development of mathematical thinking ways, the concept of function, limit and derivate.
Course Content
Function, Inverse function, Trigonmetric Functions, Inverse Trigonmetric Functions Exponential Functions and Logarithmic functions Limits, The Definition of the Limit, Limit Properties Computing Limit of functions Trigonmetric Functions Limits Infinite Limits Continuity Derivatives, The Definition of the Derivative, Interpretations of the Derivative Derivatives of Trig Functions Derivatives of Exponential and Logarithm Functions Derivatives of Inverse Trig Functions Derivatives of Hyperbolic Functions Higher Order Derivatives, Application of derivetions (Extreme Values of Functions, The Mean Value Theorem, Monotonic Functions and the First Derivative Test, Concavity
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains function at the application level. |
| LO02 | Explains limit at the application level. |
| LO03 | Explains derivative at the application level. |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Has enough knowledge about mathematics. | 5 |
| PLO02 | Bilgi - Kuramsal, Olgusal | Has pedagogical knowledge about teaching profession and field. | |
| PLO03 | Bilgi - Kuramsal, Olgusal | Implements classroom management approaches to be used in educational environments effectively. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Prepares the learning environments in which appropriate teaching methods are used for effective mathematics education in accordance with development and age levels. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Knows the relationship between Mathematics-Society-Environment-History and uses it in professional and daily life. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Uses Turkish properly and effectively according to the rules. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Selects and designs appropriate materials, in mathematics teaching. | |
| PLO08 | Bilgi - Kuramsal, Olgusal | Monitors students' progress using different assessment and evaluation methods and techniques. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Takes responsibility as an individual and as a team member to solve problems related to the field. | |
| PLO10 | Beceriler - Bilişsel, Uygulamalı | Has life-long learning awareness. | |
| PLO11 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Shares his/her knowledge and skills, problems and solutions that he/she identified by means of oral and written communication with the expert and non-expert people. | |
| PLO12 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Uses information and communication technologies and other related materials for an effective mathematics teaching. | |
| PLO13 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Has enough foreign language knowledge to follow foreign resources related to the field. | |
| PLO14 | Yetkinlikler - Öğrenme Yetkinliği | Has the knowledge of the purpose, structure and functioning of the Turkish education system. | |
| PLO15 | Yetkinlikler - Öğrenme Yetkinliği | Becomes a teacher who adheres to Atatürk's principles and revolutions. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Function, definition of function, properties of function types of functions, inverse function. | Kadıoğlu ve Kamali (2005), s.29-46; Akdeniz , Ünlü ve Dönmez (2007), s. 44-71; Balcı (2000) s. 35-44; Kaçar, (2006), s. 93-115 | |
| 2 | Composition of function, Step function, Sign function | Kadıoğlu ve Kamali (2005), s.46-56; Akdeniz , Ünlü ve Dönmez (2007), s. 71-64; Balcı (2000) s. 44-54; | |
| 3 | Exponential Functions, Logarithmic functions | Kadıoğlu ve Kamali (2005), s.51-56; Akdeniz , Ünlü ve Dönmez (2007), s. 71-64; Balcı (2000) s. 44-54; | |
| 4 | Exponential Functions, Logarithmic functions | Kadıoğlu ve Kamali (2005), s.51-56; Balcı (2000) s. 69-79.; | |
| 5 | Trigonmetric Functions, | Kadıoğlu ve Kamali (2005), s. 56-71, Balcı (2000) s. 54-69, | |
| 6 | Trigonmetric Functions, Inverse Trigonmetric Functions | Kadıoğlu ve Kamali (2005), s. 56-79, Balcı (2000) s. 54-69, | |
| 7 | Inverse Trigonmetric Function, Hiperbolic and Inverse hiperbolic function | Kadıoğlu ve Kamali (2005), s.79-82, Balcı (2000) s. 54-69, | |
| 8 | Mid-Term Exam | preparing exam | |
| 9 | Limit: Limits of functions of one variable | Kadıoğlu ve Kamali (2005), s. 87-120, Balcı (2000) s. 100-110. | |
| 10 | Limits of Trigonometric Functions | Kadıoğlu ve Kamali (2005), s.120-128; Akdeniz , Ünlü ve Dönmez (2007), s. 145-163; Balcı (2000) s. 105-110. | |
| 11 | Continuity: Definition of continuity, continuous on left and continuous on right, Properties of continuous function, types of continuity | Kadıoğlu ve Kamali (2005), s.131-148; Akdeniz , Ünlü ve Dönmez (2007), s. 171-189; Balcı (2000) s. 113-123. | |
| 12 | Derivative: Definition of derivative, geometric interpretations of the derivative, differentiation formulas | Kadıoğlu ve Kamali (2005), s.148-170; Akdeniz , Ünlü ve Dönmez (2007), s. 191-197; Balcı (2000) s. 123-143. | |
| 13 | Derivatives of trigonometric functions, derivatives of exponential and logarithm functions , derivatives of inverse trigonometric functions, derivatives of hyperbolic and inversehyperbolic functions | Kadıoğlu ve Kamali (2005), s.170-174; Akdeniz , Ünlü ve Dönmez (2007), s. 235-297; Balcı (2000) s. 143-148. | |
| 14 | Derivatives of trigonometric functions, derivatives of exponential and logarithm functions , derivatives of inverse trigonometric functions, derivatives of hyperbolic and inversehyperbolic functions | Kadıoğlu ve Kamali (2005), s.170-174; Akdeniz , Ünlü ve Dönmez (2007), s. 235-297; Balcı (2000) s. 143-148. | |
| 15 | Higher Order Derivatives, Application of derivetions (Extreme Values of Functions, The Mean Value Theorem, Monotonic Functions and the First Derivative Test, Concavity. | Kadıoğlu ve Kamali (2005), s.170-179; Akdeniz , Ünlü ve Dönmez (2007), s. 165-226; | |
| 16 | Term Exams | preparing exam | |
| 17 | Term Exams | preparing exam |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 6 | 6 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 78 | ||
| Total Workload / 25 (h) | 3,12 | ||
| ECTS | 3 ECTS | ||