|
| Course Description |
|
| Course Name |
: |
Calculus I |
|
| Course Code |
: |
BTE137 |
|
| Course Type |
: |
Compulsory |
|
| Level of Course |
: |
First Cycle |
|
| Year of Study |
: |
1 |
|
| Course Semester |
: |
Fall (16 Weeks) |
|
| ECTS |
: |
4 |
|
| Name of Lecturer(s) |
: |
Asst.Prof.Dr. AYTEN PINAR BAL
|
|
| Learning Outcomes of the Course |
: |
Composite functions, special functions (trigonometry, inverse functions, logarithm and exponential function, closed function)
Solves problems with Composite functions, special functions (trigonometry, inverse functions, logarithm and exponential function, closed function)
Explains Limit
Explains limit in functions
Explains Limit of Trigonometric functions, solves problems with the concept of Limit
Explains the concept of Continuity and their properties
Explains the types of Continuity, solving problems with continuous functions and continuity types
Explains Derivatives and their geometric applications
Application of Derivatives
Solves problems with second degree derivatives
|
|
| Mode of Delivery |
: |
Face-to-Face |
|
| Prerequisites and Co-Prerequisites |
: |
None |
|
| Recommended Optional Programme Components |
: |
None |
|
| Aim(s) of Course |
: |
The general purpose of this course is to gain basic concepts and principles of mathematics to the teacher candidates attending to computer technologies department.
|
|
| Course Contents |
: |
Numbers, number systems and their properties, functions and their properties, composite functions and inverse functions, trigonometry and inverse trigonometry functions, logarithm, exponential functions and closed functions, solving problems with special functions (trigonometry, inverse functions, logarithm and exponential function, closed function) limit concept, limit in functions, limit of trigonometric functions, solving problems with the concept of limit, continuity and their properties, types of continuity, solving problems with continuity types, derivatives and application of derivatives, derivatives geometric applications, solving problems with second degree derivatives. |
|
| Language of Instruction |
: |
Turkish |
|
| Work Place |
: |
Classroom |
|
|
Course Outline /Schedule (Weekly) Planned Learning Activities |
| Week | Subject | Student's Preliminary Work | Learning Activities and Teaching Methods |
|
1 |
Numbers, number systems and their properties |
Kadıoğlu, E. & Kamali, M. (2005). s.10-16;
Akdeniz , F. Ünlü, Y., Dönmez, D. (2007). s. 13-34;
Balcı, M. (2000). s. 2-14;
Kaçar, K. (2006). s. 22-61 |
Lecturing; Question-answer techniques |
|
2 |
Functions and their properties |
Kadıoğlu, E. & Kamali, M. (2005). s.29-46;
Akdeniz , F. Ünlü, Y., Dönmez, D. (2007). s. 44-71;
Balcı, M. (2000). s. 35-44; Kaçar, K. (2006). s. 93-115 |
Lecturing; Question-answer techniques |
|
3 |
Composite functions and inverse functions |
Kadıoğlu, E. & Kamali, M. (2005). s.29-56;
Akdeniz , F. Ünlü, Y., Dönmez, D. (2007). s.71-84;
Balcı, M. (2000). s. 44-54 |
Lecturing; Question-answer techniques |
|
4 |
Trigonometry and inverse trigonometry functions |
Kadıoğlu, E. & Kamali, M. (2005). s.56-79;
Balcı, M. (2000). s. 54-69 |
Lecturing; Question-answer techniques |
|
5 |
Logarithm, exponential functions and closed functions |
Kadıoğlu, E. & Kamali, M. (2005). s.79-82;
Balcı, M. (2000). s. 69-79 |
Lecturing; Question-answer techniques |
|
6 |
Solving problems with special functions (trigonometry, inverse functions, logarithm and exponential function, closed function) |
Kadıoğlu, E. & Kamali, M. (2005). s.87-120;
Akdeniz , F. Ünlü, Y., Dönmez, D. (2007). s. 95-135;
Balcı, M. (2000). s. 81-95 |
Lecturing; Question-answer techniques |
|
7 |
Limit concept, limit in functions. |
Kadıoğlu, E. & Kamali, M. (2005). s.87-120;
Balcı, M. (2000). s. 95-100 |
Lecturing; Question-answer techniques |
|
8 |
Mid term exam |
|
Essay |
|
9 |
Limit of Trigonometric functions |
Kadıoğlu, E. & Kamali, M. (2005). s.87-120;
Balcı, M. (2000). s. 95-100 |
Lecturing; Question-answer techniques |
|
10 |
Solving problems with the concept of limit. |
Kadıoğlu, E. & Kamali, M. (2005). s.87-120;
Balcı, M. (2000). s. 100-110 |
Lecturing; Question-answer techniques |
|
11 |
Continuity and their properties |
Kadıoğlu, E. & Kamali, M. (2005). s.120-128;
Akdeniz , F. Ünlü, Y., Dönmez, D. (2007). s. 145-163;
Balcı, M. (2000). s.100-105 |
Lecturing; Question-answer techniques |
|
12 |
Types of Continuity, solving problems with continuity types. |
Kadıoğlu, E. & Kamali, M. (2005). s.128-131;
Balcı, M. (2000). s. 105-110 |
Lecturing; Question-answer techniques |
|
13 |
Derivatives and application of derivatives |
Kadıoğlu, E. & Kamali, M. (2005). s.131-148;
Akdeniz , F. Ünlü, Y., Dönmez, D. (2007). s. 171-189;
Balcı, M. (2000). s. 113-123 |
Lecturing; Question-answer techniques |
|
14 |
Derivatives geometric applications. |
Kadıoğlu, E. & Kamali, M. (2005). s.148-170;
Akdeniz , F. Ünlü, Y., Dönmez, D. (2007). s. 191-197;
Balcı, M. (2000). s. 123-143 |
Lecturing; Question-answer techniques |
|
15 |
Solving problems with second degree derivatives. |
Kadıoğlu, E. & Kamali, M. (2005). s.170-174;
Akdeniz , F. Ünlü, Y., Dönmez, D. (2007). s. 197-120;
Balcı, M. (2000). s. 143-148 |
Lecturing; Question-answer techniques |
|
16/17 |
Final exam |
|
Essay |
|
|
|
Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Akdeniz , F. Ünlü, Y., Dönmez, D. (2007). Analize Giriş (Cilt I) Adana: Nobel yayınevi.
Kaçar, K. (2006). Temel Matematik I-II: Ankara: Pegem A yayınevi.
Kadıoğlu, E. & Kamali, M. (2005). Genel Matematik. Erzurum: Kültür ve eğitim vakfı yayınları.
Balcı, M. (2000). Genel Matematik (Cilt I) Ankara: Balcı yayınevi.
|
| |
| Required Course Material(s) | |
|
|
|
Assessment Methods and Assessment Criteria |
|
Semester/Year Assessments |
Number |
Contribution Percentage |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
80 |
|
Homeworks/Projects/Others |
1 |
20 |
|
Total |
100 |
|
Rate of Semester/Year Assessments to Success |
40 |
| |
|
Final Assessments
|
100 |
|
Rate of Final Assessments to Success
|
60 |
|
Total |
100 |
|
|
| Contribution of the Course to Key Learning Outcomes |
| # | Key Learning Outcome | Contribution* |
|
1 |
Utilize concepts and applications of scientific research and basic statistics, which are the basis of scientific thinking, for the conditions in the scope of the field and related fields. |
0 |
|
2 |
Explain sub-fields of instructional technologies and integral structure of its process and also its relation to the other fields. |
0 |
|
3 |
Put forward the complex structure of the problems related to learning and teaching for the given situations based on the knowledge of instructional technologies and related fields. |
0 |
|
4 |
Develop a plan, apply the plan and assess the results based on scientific view for the solution of the problems presented in the scope of the field or related fields. |
0 |
|
5 |
Put forward new products or processes on the basis of components of instructional technologies, computer science, for the related situations. |
0 |
|
6 |
Develop a personal proposal, a product or a group of processes for the solution of a problem related to the field as an indicator of the skills of working independently and taking responsibility. |
0 |
|
7 |
Take responsibility of an individual or group projects and accomplishing his/her undertaken missions. |
0 |
|
8 |
Follow current problems and applications and determining information and skills to undertake learning missions for the following stage. |
0 |
|
9 |
Explain the integral structure of instructional technologies and information technologies or computer science applications. |
0 |
|
10 |
Explain concepts that constitutes the basis for scientific thinking in the scope of the field and the related fields. |
3 |
|
11 |
Apply the processes of analysis, design, development, and evaluation on the basis of knowledge of instructional technologies. |
0 |
|
12 |
Utilize information technologies and computer science applications in order to create an effective and productive learning environment. |
0 |
|
13 |
Apply the solution for the problem on the basis of scientific and ethical values when she/he confronts a learning problem. |
3 |
|
14 |
Build a healthy communication with students, teachers, school administration, and the individuals in the study group. |
0 |
|
15 |
Comprehend a foreign language in order to follow the international resources that can be utilized for the solution of problems related to the field. |
0 |
|
16 |
Take responsibilities for the distribution and dissemination of the developments in the field on local or national range. |
0 |
|
17 |
Act on the basis of scientific and ethical values in her/his works and also support preservation and learning of these values. |
0 |
|
18 |
Develop and evaluate strategic views on topic related to the future of the field. |
0 |
|
19 |
Transfer related progresses in other related fields to the field of instructional technologies. |
0 |
|
20 |
Create and maintain a cooperative and productive working environment by developing an insight related to the behaviors of the shareholders. |
0 |
| * Contribution levels are between 0 (not) and 5 (maximum). |
|
|
| Student Workload - ECTS |
| Works | Number | Time (Hour) | Total Workload (Hour) |
| Course Related Works |
|
Class Time (Exam weeks are excluded) |
14 |
4 |
56 |
|
Out of Class Study (Preliminary Work, Practice) |
14 |
2 |
28 |
| Assesment Related Works |
|
Homeworks, Projects, Others |
1 |
5 |
5 |
|
Mid-term Exams (Written, Oral, etc.) |
1 |
10 |
10 |
|
Final Exam |
1 |
10 |
10 |
|
Total Workload: | 109 |
| Total Workload / 25 (h): | 4.36 |
| ECTS Credit: | 4 |
|
|
|