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Information
| Unit | FACULTY OF EDUCATION |
| SCIENCE TEACHING PR. | |
| Code | FENZ103 |
| Name | Mathematics I |
| Term | 2018-2019 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 2 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)
Prof. Dr. PERİHAN DİNÇ ARTUT (Güz) (B 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 | Explain definition of the Limit |
| LO02 | Explain limit Properties |
| LO03 | Explain computing limit of functions trigonmetric functions, |
| LO04 | Explain limits of absolute value function, sign function and greatest integer function, |
| LO05 | Explain infinite limit |
| LO06 | Explain continuity and the types of continuity. |
| LO07 | Explain definition of derivative, geometric interpretations of the derivative, differentiation formulas |
| LO08 | Derivatives of trigonometric functions and inverse trigonometric functions |
| LO09 | Derivatives of exponential and logarithm functions and derivatives of hyperbolic and inversehyperbolic functions |
| LO10 | Explain derivative of special defined functions (Greatest higher functions, e absolute value functions, Sign functions), Higher Order Derivatives |
| LO11 | Explain increasing and decreasing functions |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | Bilgi - Kuramsal, Olgusal | Explains the basic concepts and relationships between concepts in science. | |
| PLO02 | Bilgi - Kuramsal, Olgusal | Explains the basic concepts of effective classroom management. | |
| PLO03 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Recognizes students´ developmental and learning characteristics and difficulties. | |
| PLO04 | Bilgi - Kuramsal, Olgusal | Explains programs, strategies, methods and techniques related to the science and technology teaching. | |
| PLO05 | Bilgi - Kuramsal, Olgusal | Explains application areas of science in everyday life. | |
| PLO06 | Bilgi - Kuramsal, Olgusal | Offers solutions to problem situations encountered in classroom management. | |
| PLO07 | Bilgi - Kuramsal, Olgusal | Uses appropriate methods and techniques for the development of students´ critical thinking, creative thinking and problem solving skills. | 5 |
| PLO08 | Bilgi - Kuramsal, Olgusal | Designs materials from the stuff around in accordance with the requirements of science and technology program and students. | |
| PLO09 | Bilgi - Kuramsal, Olgusal | Queries information in the field of science and technology using scientific methods . | |
| PLO10 | Yetkinlikler - Öğrenme Yetkinliği | Uses laboratory according to science and technology program in an appropriate and efficient manner. | |
| PLO11 | Bilgi - Kuramsal, Olgusal | Applies contemporary teaching methods and techniques by which the student can construct their own knowledge. | |
| PLO12 | Bilgi - Kuramsal, Olgusal | Takes responsibility as an individual and as a team member to solve problems related to the field. | 3 |
| PLO13 | Beceriler - Bilişsel, Uygulamalı | Has life-long learning awareness. | |
| PLO14 | 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. | |
| PLO15 | Bilgi - Kuramsal, Olgusal | Uses information and communication technologies effectively. | |
| PLO16 | Beceriler - Bilişsel, Uygulamalı | Uses English sufficiently to follow developments in science and technology education.s . | |
| PLO17 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Sensitive to the agenda of the world and society events / developments . | |
| PLO18 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | In addition to proffesional development,he/she improves himself/herself consistently for individual development in the scientific, social, cultural and sports areas in line with educational requirements. | |
| PLO19 | Bilgi - Kuramsal, Olgusal | Has national and international sensibilities expressed in the Fundamental Law of National Education. | |
| PLO20 | Yetkinlikler - Bağımsız Çalışabilme ve Sorumluluk Alabilme Yetkinliği | Behaves in accordance with democracy, human rights, and social, scientific and proffesional ethical values |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Function, definition of function, properties of function types of functions, inverse function | Kadıoğlu ve Kamali (2005), p.29-46; Akdeniz , Ünlü ve Dönmez (2007), p. 44-71; Balcı (2000) p. 35-44; Kaçar, (2006), p. 93-115 | |
| 2 | Composition of function, Step function, Sign function | Kadıoğlu ve Kamali (2005), p.46-56; Akdeniz , Ünlü ve Dönmez (2007), p. 71-64; Balcı (2000), p. 44-54; | |
| 3 | Exponential Functions, | Kadıoğlu ve Kamali (2005), p.51-53; Akdeniz , Ünlü ve Dönmez (2007), p. 71-64; Balcı (2000) p. 44-54; | |
| 4 | Logarithmic functions | Kadıoğlu ve Kamali (2005), p.54-56; Balcı (2000) p. 69-79. | |
| 5 | Trigonmetric Functions, | Kadıoğlu ve Kamali (2005), p. 56-71, Balcı (2000) p. 54-69, | |
| 6 | Trigonmetric Functions, Inverse Trigonmetric Functions | Kadıoğlu ve Kamali (2005), p. 56-79, Balcı (2000) p. 54-69, | |
| 7 | Inverse Trigonmetric Function, Hiperbolic and Inverse hiperbolic function | Kadıoğlu ve Kamali (2005), p.79-82, Balcı (2000) p. 54-69 | |
| 8 | Mid-Term Exam | Preparing exam | |
| 9 | Limit: Limits of functions of one variable | Kadıoğlu ve Kamali (2005), p. 87-120, Balcı (2000) p. 100-110. | |
| 10 | Limits of Trigonometric Function | Kadıoğlu ve Kamali (2005), p.120-128; Akdeniz , Ünlü ve Dönmez (2007), p. 145-163; Balcı (2000) p. 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), p.131-148; Akdeniz , Ünlü ve Dönmez (2007), p. 171-189; Balcı (2000) p. 113-123. | |
| 12 | Derivative: Definition of derivative, geometric interpretations of the derivative, differentiation formulas | Kadıoğlu ve Kamali (2005), p.148-170; Akdeniz , Ünlü ve Dönmez (2007), p. 191-197; Balcı (2000) p. 123-143. | |
| 13 | Derivatives of trigonometric functions, derivatives of exponential functions , derivatives of inverse functions | Kadıoğlu ve Kamali (2005), p.170-174; Akdeniz , Ünlü ve Dönmez (2007), p. 235-297; Balcı (2000) p. 143-148. | |
| 14 | Derivatives of inverse trigonometric functions, derivatives of logarithm functions , derivatives of inverse trigonometric functions, derivatives of hyperbolic and inversehyperbolic functions | Kadıoğlu ve Kamali (2005), p.170-174; Akdeniz , Ünlü ve Dönmez (2007), p. 235-297; Balcı (2000) p. 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), p.174-179; Akdeniz , Ünlü ve Dönmez (2007), p. 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 | 1 | 14 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 4 | 4 |
| Final Exam | 1 | 8 | 8 |
| Total Workload (Hour) | 54 | ||
| Total Workload / 25 (h) | 2,16 | ||
| ECTS | 2 ECTS | ||