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| Course Description |
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| Course Name |
: |
Mathematics I |
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| Course Code |
: |
FTÖ109 |
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| Course Type |
: |
Compulsory |
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| Level of Course |
: |
First Cycle |
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| Year of Study |
: |
1 |
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| Course Semester |
: |
Fall (16 Weeks) |
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| ECTS |
: |
4 |
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| Name of Lecturer(s) |
: |
Assoc.Prof.Dr. PERİHAN DİNÇ ARTUT
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| Learning Outcomes of the Course |
: |
Explains function at the application level.
Explains limit at the application level
Explains derivative at the application level
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| Mode of Delivery |
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Face-to-Face |
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| Prerequisites and Co-Prerequisites |
: |
None |
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| Recommended Optional Programme Components |
: |
None |
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| Aim(s) of Course |
: |
The main objective of this course is the development of mathematical thinking ways, the concept of function, limit and derivate. |
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| Course Contents |
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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 |
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| Language of Instruction |
: |
Turkish |
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| Work Place |
: |
Classroom |
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Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
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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 |
Lecturing, answer and questions tecnics and problem solving. |
|
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; |
Lecturing, answer and questions tecnics and problem solving. |
|
3 |
Exponential Functions, Logarithmic functions |
Kadıoğlu ve Kamali (2005), p.51-56;
Akdeniz , Ünlü ve Dönmez (2007), p. 71-64;
Balcı (2000) p. 44-54;
|
Lecturing, answer and questions tecnics and problem solving. |
|
4 |
Exponential Functions, Logarithmic functions |
Kadıoğlu ve Kamali (2005), p.51-56;
Balcı (2000) p. 69-79.; |
Lecturing, answer and questions tecnics and problem solving. |
|
5 |
Trigonmetric Functions, |
Kadıoğlu ve Kamali (2005), p. 56-71,
Balcı (2000) p. 54-69, |
Lecturing, answer and questions tecnics and problem solving. |
|
6 |
Trigonmetric Functions, Inverse Trigonmetric Functions |
Kadıoğlu ve Kamali (2005), p. 56-79,
Balcı (2000) p. 54-69, |
Lecturing, answer and questions tecnics and problem solving. |
|
7 |
Inverse Trigonmetric Function, Hiperbolic and Inverse hiperbolic function |
Kadıoğlu ve Kamali (2005), p.79-82,
Balcı (2000) p. 54-69, |
Lecturing, answer and questions tecnics and problem solving. |
|
8 |
Midterm exam |
preparing exam |
written exam |
|
9 |
Limit: Limits of functions of one variable
|
Kadıoğlu ve Kamali (2005), p. 87-120,
Balcı (2000) p. 100-110. |
Lecturing, answer and questions tecnics and problem solving. |
|
10 |
Limits of Trigonometric Functions |
Kadıoğlu ve Kamali (2005), p.120-128;
Akdeniz , Ünlü ve Dönmez (2007), p. 145-163;
Balcı (2000) p. 105-110. |
Lecturing, answer and questions tecnics and problem solving. |
|
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.
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Lecturing, answer and questions tecnics and problem solving. |
|
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. |
Lecturing, answer and questions tecnics and problem solving. |
|
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), p.170-174;
Akdeniz , Ünlü ve Dönmez (2007), p. 235-297;
Balcı (2000) p. 143-148. |
Lecturing, answer and questions tecnics and problem solving. |
|
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), p.170-174;
Akdeniz , Ünlü ve Dönmez (2007), p. 235-297;
Balcı (2000) p. 143-148. |
Lecturing, answer and questions tecnics and 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), p.170-179;
Akdeniz , Ünlü ve Dönmez (2007), p. 165-226;
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Lecturing, answer and questions tecnics and problem solving. |
|
16/17 |
Final exam |
preparing exam |
written exam |
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Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Mustafa Balcı (2000) Genel Matematik (Cilt I) Ankara: Balcıyayınevi.
Ekrem Kadıoğlu ve Muhammet Kamali (2005)Genel Matematik. Erzurum: Kültür ve Eğitim Vakfı yayınları
Fikri Akdeniz , Yusuf Ünlü ve Doğan Dönmez (2007) Analize Girş (Cilt I) Adana: Nobel yayınevi.
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| Required Course Material(s) | |
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Assessment Methods and Assessment Criteria |
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Semester/Year Assessments |
Number |
Contribution Percentage |
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Mid-term Exams (Written, Oral, etc.) |
1 |
100 |
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Homeworks/Projects/Others |
0 |
0 |
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Total |
100 |
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Rate of Semester/Year Assessments to Success |
40 |
| |
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Final Assessments
|
100 |
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Rate of Final Assessments to Success
|
60 |
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Total |
100 |
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| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Explains the basic concepts and relationships between concepts in science. |
3 |
|
2 |
Explains the basic concepts of effective classroom management. |
0 |
|
3 |
Recognizes students´ developmental and learning characteristics and difficulties. |
0 |
|
4 |
Explains programs, strategies, methods and techniques related to the science and technology teaching. |
0 |
|
5 |
Explains application areas of science in everyday life. |
0 |
|
6 |
Offers solutions to problem situations encountered in classroom management. |
0 |
|
7 |
Uses appropriate methods and techniques for the development of students´ critical thinking, creative thinking and problem solving skills. |
5 |
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8 |
Designs materials from the stuff around in accordance with the requirements of science and technology program and students. |
0 |
|
9 |
Queries information in the field of science and technology using scientific methods . |
4 |
|
10 |
Uses laboratory according to science and technology program in an appropriate and efficient manner. |
0 |
|
11 |
Applies contemporary teaching methods and techniques by which the student can construct their own knowledge. |
0 |
|
12 |
Takes responsibility as an individual and as a team member to solve problems related to the field. |
0 |
|
13 |
Has life-long learning awareness. |
0 |
|
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. |
0 |
|
15 |
Uses information and communication technologies effectively. |
0 |
|
16 |
Uses English sufficiently to follow developments in science and technology education. |
0 |
|
17 |
Sensitive to the agenda of the world and society events / developments . |
0 |
|
18 |
Has national and international sensibilities expressed in the Fundamental Law of National Education. |
0 |
|
19 |
Behaves in accordance with democracy, human rights, and social, scientific and proffesional ethical values |
0 |
|
20 |
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. |
0 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
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| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
|
Class Time (Exam weeks are excluded) |
14 |
4 |
56 |
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Out of Class Study (Preliminary Work, Practice) |
14 |
2 |
28 |
| Assesment Related Works |
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Homeworks, Projects, Others |
0 |
0 |
0 |
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Mid-term Exams (Written, Oral, etc.) |
1 |
2 |
2 |
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Final Exam |
1 |
2 |
2 |
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Total Workload: | 88 |
| Total Workload / 25 (h): | 3.52 |
| ECTS Credit: | 4 |
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