|
| Course Description |
|
| Course Name |
: |
Calculus II |
|
| Course Code |
: |
BTE138 |
|
| Course Type |
: |
Compulsory |
|
| Level of Course |
: |
First Cycle |
|
| Year of Study |
: |
1 |
|
| Course Semester |
: |
Spring (16 Weeks) |
|
| ECTS |
: |
4 |
|
| Name of Lecturer(s) |
: |
Asst.Prof.Dr. AYTEN PINAR BAL
|
|
| Learning Outcomes of the Course |
: |
Increasing and decreasing functions; solves problems with them
Curve functions and derivated functions, explains and solves problems with these concepts
Draws graphics of functions
Do some applications with derivatives
The concept of Indefinite Integral, solves problems with its formulas
Calculates the integral of rational functions
Calculates the integral of trigonometric and rational trigonometric functions
Riemann Integral, explains a definite integral
Applies the basic theorems of integral calculation
Applies the methods of taking integral
Calculates area and circumference with the help of a specific integral
|
|
| 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 |
: |
Increasing and decreasing functions; solving problems with them, curve functions and derivate functions, explaining and solving problems with these concepts, drawing graphics of functions, some applications with derivatives, the concept of indefinite integral, solving problems with its formulas, calculating the integral of rational functions, calculating the integral of trigonometric and rational trigonometric functions, Riemann integral, explaining a definite integral, applying the basic theorems of integral calculation, applying the methods of taking integral, calculating area and circumference with the help of a specific integral |
|
| 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 |
Increasing and decreasing functions; solving problems with them |
Kadıoğlu, E. & Kamali, M. (2005). s.179-193;
Akdeniz , F. Ünlü, Y., Dönmez, D. (2007). s. 233-243;
Balcı, M. (2000). s. 44-54 |
Lecturing; Question-answer techniques |
|
2 |
Curve functions and derivated functions, explaining with these concepts |
Kadıoğlu, E. & Kamali, M. (2005). s.193-202;
Akdeniz , F. Ünlü, Y., Dönmez, D. (2007). s. 243-263 |
Lecturing; Question-answer techniques |
|
3 |
Curve functions and derivated functions solving problems with these concepts |
Kadıoğlu, E. & Kamali, M. (2005). s.202-216;
Akdeniz , F. Ünlü, Y., Dönmez, D. (2007). s.263-271 Balcı, M. (2000). s. 54-79 |
Lecturing; Question-answer techniques |
|
4 |
Drawing graphics of functions |
Kadıoğlu, E. & Kamali, M. (2005). s.216-242;
Akdeniz , F. Ünlü, Y., Dönmez, D. (2007). s.263-271 |
Lecturing; Question-answer techniques |
|
5 |
Some applications with derivatives |
Kadıoğlu, E. & Kamali, M. (2005). s.242-255;
Balcı, M. (2000). s. 151-208 |
Lecturing; Question-answer techniques |
|
6 |
The concept of indefinite Integral |
Kadıoğlu, E. & Kamali, M. (2005). s.255-264;
Balcı, M. (2000). s.211-262 |
Lecturing; Question-answer techniques |
|
7 |
Calculating the integral of rational functions |
Kadıoğlu, E. & Kamali, M. (2005). s.268-282;
Balcı, M. (2000). s.211-262 |
Lecturing; Question-answer techniques |
|
8 |
Mid term exam |
|
Essay |
|
9 |
Calculating the integral of rational functions |
Kadıoğlu, E. & Kamali, M. (2005). s.298-345;
Balcı, M. (2000). s.211-262 |
Lecturing; Question-answer techniques |
|
10 |
Calculating the integral of trigonometric functions |
Kadıoğlu, E. & Kamali, M. (2005). s.347-356;
Balcı, M. (2000). s.265-290 |
Lecturing; Question-answer techniques |
|
11 |
Calculating the integral of rational trigonometric functions |
Kadıoğlu, E. & Kamali, M. (2005). s.347-356;
Balcı, M. (2000). s.265-290 |
Lecturing; Question-answer techniques |
|
12 |
Riemann Integral, definite integral |
Kadıoğlu, E. & Kamali, M. (2005). s.347-356;
Balcı, M. (2000). s.265-290 |
Lecturing; Question-answer techniques |
|
13 |
Applying the basic theorems of integral calculation |
Kadıoğlu, E. & Kamali, M. (2005). s.374-407;
Balcı, M. (2000). s. 293-314 |
Lecturing; Question-answer techniques |
|
14 |
Applying the methods of taking integral |
Kadıoğlu, E. & Kamali, M. (2005). s.374-407;
Balcı, M. (2000). s. 293-314 |
Lecturing; Question-answer techniques |
|
15 |
Calculating area and circumference with the help of a specific integral |
Kadıoğlu, E. & Kamali, M. (2005). s.374-407;
Balcı, M. (2000). s. 293-314 |
Lecturing; Question-answer techniques |
|
16/17 |
Final exam |
|
Essay |
|
|
|
Required Course Resources |
| Resource Type | Resource Name |
| Recommended Course Material(s) |
 Balcı, M. (2000). Genel Matematik (Cilt I) Ankara: Balcı yayınevi
Kadıoğlu, E. & Kamali, M. (2005). Genel Matematik. Erzurum: Kültür ve eğitim vakfı yayınları.
Akdeniz , F. Ünlü, Y., Dönmez, D. (2007). Analize Giriş (Cilt I) Adana: Nobel 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. |
3 |
|
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. |
3 |
|
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. |
0 |
|
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 |
|
|
|