Clusters and number systems; correlation, types of functions, exponential functions and logarithmic functions; limit, continuity concepts and applications; derivative, derivative applications and graphic drawings
Course Content
This course contains; Sets, Number Sets,Cartesian Product,Cartesian coordinate system,Basıc Graphs Drawing,Function concept, Polynomials, Polynomial functions,Rational functions, Trigonometric functions, Exponential and logarithmic functions,Limits,First order indeterminate equation,Special Lİmits,Continuity-Discontinuity, Types of Discontinuity,Derivatives, Geometric Interpretation of Derivatives, Applications of Derivatives,Second order indeterminate equation,Higher-order derivatives, Maximum-Minimum,Graphic Drawings.
Dersin Öğrenme Kazanımları
Teaching Methods
Assessment Methods
10, 12, 16, 6, 9
A
understand the relationships between clusters, cartesian product and graph.
Comprehends simple functions, types of functions and graphic drawings.
Learns limits, special limits and uncertainties in functions.
Learns continuity- discontinuity and the types of discontinuity in functions.
Learns the importance of derivatives in higher mathematics, geometric interpretation of derivatives and applications of the derivative.
Knows the concept of extremum and the extremum derivative relationship in single-variable functions.
Manages graphic drawing in the light of the knowledge and experience gained.
Function concept, Polynomials, Polynomial functions
[1], [2], [3]
6
Rational functions, Trigonometric functions, Exponential and logarithmic functions
[1], [2], [3]
7
Limits
[1], [2], [3]
8
First order indeterminate equation
[1], [2], [3]
9
Special Lİmits
[1], [2], [3]
10
Continuity-Discontinuity, Types of Discontinuity
[1], [2], [3]
11
Derivatives, Geometric Interpretation of Derivatives, Applications of Derivatives
[1], [2], [3]
12
Second order indeterminate equation
[1], [2], [3]
13
Higher-order derivatives, Maximum-Minimum
[1], [2], [3]
14
Graphic Drawings
[1], [2], [3]
Resources
[1] General Mathematics, Prof. Dr. Ahmet Dernek
[2] General Mathematics, Prof. Dr. Ekrem Kadioglu, Prof. Dr. Muhammet Kamali
[3] Analysis I, Prof. Dr. Mustafa Balci
Course Contribution to Program Qualifications
Course Contribution to Program Qualifications
No
Program Qualification
Contribution Level
1
2
3
4
5
1
It verbally refers to the meanings of professional terms and concepts within the scope of primary mathematics teaching.
It verbally refers to the basic concepts, principles and techniques of theories in the field of primary mathematics teaching.
It compares the theories in its field and lists the strengths and weaknesses of each theory verbally.
X
2
In the field of primary mathematics teaching, he applies the necessary intervention in connection with the education he receives regarding the situations or problems he encounters professionally.
X
3
A problem he faces professionally, he analyzes and solves it based on scientific methods.
He solves a problem he faces professionally on his own.
It makes necessary interventions by distinguishing between situations that are within the scope of their duties and responsibilities from a professional point of view and situations that are not.
X
4
Follows new developments related to the profession in line with the principle of lifelong learning from a professional point of view.
X
5
In the process of resolving a problem from a professional point of view, he consults with his colleagues when necessary.
When he encounters a problem, he formulates it in writing or verbally.
He has a sense of social responsibility and uses his professional gains to solve problems in his immediate and distant environment.
He speaks at least B1 level English to monitor international professional developments.
X
6
He knows the basic concepts of his profession.
Applies basic skills related to his profession.
It applies measurement and evaluation tools in accordance with its purpose and in line with ethical principles.
In a professional subject, it conducts research by choosing the appropriate research method.
X
Assessment Methods
Contribution Level
Absolute Evaluation
Rate of Midterm Exam to Success
50
Rate of Final Exam to Success
50
Total
100
ECTS / Workload Table
Activities
Number of
Duration(Hour)
Total Workload(Hour)
Course Hours
2
3
6
Guided Problem Solving
2
2
4
Resolution of Homework Problems and Submission as a Report
0
0
0
Term Project
0
0
0
Presentation of Project / Seminar
0
0
0
Quiz
0
0
0
Midterm Exam
0
0
0
General Exam
0
0
0
Performance Task, Maintenance Plan
0
0
0
Total Workload(Hour)
10
Dersin AKTS Kredisi = Toplam İş Yükü (Saat)/30*=(10/30)
0
ECTS of the course: 30 hours of work is counted as 1 ECTS credit.
Detail Informations of the Course
Course Description
Course
Code
Semester
T+P (Hour)
Credit
ECTS
ANALYSIS I
-
Fall Semester
2+0
2
3
Course Program
Prerequisites Courses
Recommended Elective Courses
Language of Course
Turkish
Course Level
First Cycle (Bachelor's Degree)
Course Type
Required
Course Coordinator
Assist.Prof. Hüseyin KOCAMAN
Name of Lecturer(s)
Assist.Prof. Yücel ÇETİN
Assistant(s)
Aim
Clusters and number systems; correlation, types of functions, exponential functions and logarithmic functions; limit, continuity concepts and applications; derivative, derivative applications and graphic drawings
Course Content
This course contains; Sets, Number Sets,Cartesian Product,Cartesian coordinate system,Basıc Graphs Drawing,Function concept, Polynomials, Polynomial functions,Rational functions, Trigonometric functions, Exponential and logarithmic functions,Limits,First order indeterminate equation,Special Lİmits,Continuity-Discontinuity, Types of Discontinuity,Derivatives, Geometric Interpretation of Derivatives, Applications of Derivatives,Second order indeterminate equation,Higher-order derivatives, Maximum-Minimum,Graphic Drawings.
Dersin Öğrenme Kazanımları
Teaching Methods
Assessment Methods
10, 12, 16, 6, 9
A
understand the relationships between clusters, cartesian product and graph.
Comprehends simple functions, types of functions and graphic drawings.
Learns limits, special limits and uncertainties in functions.
Learns continuity- discontinuity and the types of discontinuity in functions.
Learns the importance of derivatives in higher mathematics, geometric interpretation of derivatives and applications of the derivative.
Knows the concept of extremum and the extremum derivative relationship in single-variable functions.
Manages graphic drawing in the light of the knowledge and experience gained.
Function concept, Polynomials, Polynomial functions
[1], [2], [3]
6
Rational functions, Trigonometric functions, Exponential and logarithmic functions
[1], [2], [3]
7
Limits
[1], [2], [3]
8
First order indeterminate equation
[1], [2], [3]
9
Special Lİmits
[1], [2], [3]
10
Continuity-Discontinuity, Types of Discontinuity
[1], [2], [3]
11
Derivatives, Geometric Interpretation of Derivatives, Applications of Derivatives
[1], [2], [3]
12
Second order indeterminate equation
[1], [2], [3]
13
Higher-order derivatives, Maximum-Minimum
[1], [2], [3]
14
Graphic Drawings
[1], [2], [3]
Resources
[1] General Mathematics, Prof. Dr. Ahmet Dernek
[2] General Mathematics, Prof. Dr. Ekrem Kadioglu, Prof. Dr. Muhammet Kamali
[3] Analysis I, Prof. Dr. Mustafa Balci
Course Contribution to Program Qualifications
Course Contribution to Program Qualifications
No
Program Qualification
Contribution Level
1
2
3
4
5
1
It verbally refers to the meanings of professional terms and concepts within the scope of primary mathematics teaching.
It verbally refers to the basic concepts, principles and techniques of theories in the field of primary mathematics teaching.
It compares the theories in its field and lists the strengths and weaknesses of each theory verbally.
X
2
In the field of primary mathematics teaching, he applies the necessary intervention in connection with the education he receives regarding the situations or problems he encounters professionally.
X
3
A problem he faces professionally, he analyzes and solves it based on scientific methods.
He solves a problem he faces professionally on his own.
It makes necessary interventions by distinguishing between situations that are within the scope of their duties and responsibilities from a professional point of view and situations that are not.
X
4
Follows new developments related to the profession in line with the principle of lifelong learning from a professional point of view.
X
5
In the process of resolving a problem from a professional point of view, he consults with his colleagues when necessary.
When he encounters a problem, he formulates it in writing or verbally.
He has a sense of social responsibility and uses his professional gains to solve problems in his immediate and distant environment.
He speaks at least B1 level English to monitor international professional developments.
X
6
He knows the basic concepts of his profession.
Applies basic skills related to his profession.
It applies measurement and evaluation tools in accordance with its purpose and in line with ethical principles.
In a professional subject, it conducts research by choosing the appropriate research method.
