COURSE INFORMATON
Course Title Code Semester L+P Hour Credits ECTS
Calculus- I FTO   115 1 4 4 4

Prerequisites and co-requisites
Recommended Optional Programme Components None

Language of Instruction Turkish
Course Level First Cycle Programmes (Bachelor's Degree)
Course Type
Course Coordinator Prof.Dr. Perihan ARTUT
Instructors
Prof.Dr.PERİHAN ARTUT1. Öğretim Grup:A
Prof.Dr.PERİHAN ARTUT1. Öğretim Grup:B
 
Assistants
Goals
The main objective of this course is the development of mathematical thinking ways, the concept of function, limit and derivate.
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

Learning Outcomes
1) Explains function at the application level.
2) Explains limit at the application level
3) Explains derivative at the application level.
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Course's Contribution To Program
NoProgram Learning OutcomesContribution
12345
1
Explains the basic concepts and relationships between concepts in science.
X
2
Explains the basic concepts of effective classroom management.
X
3
Recognizes students´ developmental and learning characteristics and difficulties.
X
4
Explains programs, strategies, methods and techniques related to the science and technology teaching.
X
5
Explains application areas of science in everyday life.
X
6
Offers solutions to problem situations encountered in classroom management.
X
7
Uses appropriate methods and techniques for the development of students´ critical thinking, creative thinking and problem solving skills.
X
8
Designs materials from the stuff around in accordance with the requirements of science and technology program and students.
X
9
Queries information in the field of science and technology using scientific methods .
X
10
Uses laboratory according to science and technology program in an appropriate and efficient manner.
X
11
Applies contemporary teaching methods and techniques by which the student can construct their own knowledge.
X
12
Takes responsibility as an individual and as a team member to solve problems related to the field.
X
13
Has life-long learning awareness.
X
14
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.
X
15
Uses information and communication technologies effectively.
X
16
Uses English sufficiently to follow developments in science and technology education.s .
X
17
Sensitive to the agenda of the world and society events / developments .
X
18
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.
X
19
Has national and international sensibilities expressed in the Fundamental Law of National Education.
X
20
Behaves in accordance with democracy, human rights, and social, scientific and proffesional ethical values
X

Course Content
WeekTopicsStudy Materials _ocw_rs_drs_yontem
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 Lecture
Question-Answer
Discussion
Drilland Practice
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; Lecture
Question-Answer
Problem Solving
3 Exponential Functions, Logarithmic functions Kadıoğlu ve Kamali (2005), s.51-56; Balcı (2000) s. 69-79.; Lecture
Question-Answer
Problem Solving
4 Exponential Functions, Logarithmic functions Kadıoğlu ve Kamali (2005), s.51-56; Balcı (2000) s. 69-79.; Lecture
Question-Answer
Discussion
Problem Solving
5 Trigonmetric Functions, Kadıoğlu ve Kamali (2005), s. 56-71, Balcı (2000) s. 54-69, Lecture
Question-Answer
Problem Solving
6 Trigonmetric Functions, Inverse Trigonmetric Functions Kadıoğlu ve Kamali (2005), s. 56-71, Balcı (2000) s. 54-69,, Lecture
Question-Answer
Problem Solving
7 Hyperbolic Functions, Inverse hyperbolic Functions Kadıoğlu ve Kamali (2005), s. 79-82, Balcı (2000) s. 69-71 Lecture
Question-Answer
Discussion
Problem Solving
8 Midterm exam
9 Limit: Limits of functions of one variable Kadıoğlu ve Kamali (2005), s. 87-120, Balcı (2000) s. 100-110. Lecture
Question-Answer
Drilland Practice
Problem Solving
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. Lecture
Question-Answer
Drilland Practice
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. Lecture
Question-Answer
Drilland Practice
Problem Solving
12 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.148-174; Akdeniz , Ünlü ve Dönmez (2007), s. 191-197; Balcı (2000) s. 123-143. Lecture
Question-Answer
Discussion
Problem Solving
13 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; Lecture
Question-Answer
Discussion
Problem Solving
14 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; Lecture
Question-Answer
Drilland Practice
Problem Solving
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; Lecture
Question-Answer
Drilland Practice
16-17 Final Exam

Recommended or Required Reading
Textbook
Additional Resources