| Course Description |
|
| Course Name |
: |
General Mathematics II |
|
| Course Code |
: |
FTÖ110 |
|
| Course Type |
: |
Compulsory |
|
| Level of Course |
: |
First Cycle |
|
| Year of Study |
: |
1 |
|
| Course Semester |
: |
Spring (16 Weeks) |
|
| ECTS |
: |
4 |
|
| Name of Lecturer(s) |
: |
Assoc.Prof.Dr. PERİHAN DİNÇ ARTUT
|
|
| Learning Outcomes of the Course |
: |
Explains applications of the derivative
Explains the integral and its applications
|
|
| Mode of Delivery |
: |
Face-to-Face |
|
| Prerequisites and Co-Prerequisites |
: |
None |
|
| Recommended Optional Programme Components |
: |
None |
|
| Aim(s) of Course |
: |
The main purpose of this course is to provide students to learn mathematical thiking methods , develop application of derivation and integral concept. |
|
| Course Contents |
: |
Application of derivetions (Extreme Values of Functions, The Mean Value Theorem, Monotonic Functions and the First Derivative Test, Concavity and Curve Sketching, Applied Optimization, ), İntegrals (Techniques of Integration, Applications of Integration, Further Applications of Integration, Definite Integral, arc length, area and volum) |
|
| 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 |
Monotonic function and Minimum and Maximum Values, Critical Points |
Kadıoğlu ve Kamali (2005) related chapter
Akdeniz , Ünlü ve Dönmez (2007) related chapter
|
Lecturing, answer and questions techniiques and problem solving |
|
2 |
Monotonic function and Minimum and Maximum Values, Critical Points |
Kadıoğlu ve Kamali (2005) related chapter
Akdeniz , Ünlü ve Dönmez (2007) related chapter
|
Lecturing, answer and questions techniques and problem solving |
|
3 |
L’Hospital’s Rule and Indeterminate Forms |
Kadıoğlu ve Kamali (2005) related chapter
Akdeniz , Ünlü ve Dönmez (2007) related chapter
Balcı (2000) related chapter |
Lecturing, answer and questions techniques and problem solving |
|
4 |
Graph of functions |
Kadıoğlu ve Kamali (2005) related chapter
Akdeniz , Ünlü ve Dönmez (2007) related chapter
|
Lecturing, answer and questions techniques and problem solving |
|
5 |
Some aplications about derivation |
Kadıoğlu ve Kamali (2005) related chapter
Balcı (2000) related chapter |
Lecturing, answer and questions techniques and problem solving |
|
6 |
Indefinite Integrals and Computing Indefinite Integrals, integrations formulas |
Kadıoğlu ve Kamali (2005) related chapter
Balcı (2000) related chapter |
Lecturing, answer and questions techniques and problem solving |
|
7 |
Substitution Rule for Indefinite Integrals |
Kadıoğlu ve Kamali (2005) related chapter
Balcı (2000) related chapter |
Lecturing, answer and questions techniques and problem solving |
|
8 |
Integrating Rational Functions by Partial Fractions |
Kadıoğlu ve Kamali (2005) related chapter
Balcı (2000) related chapter |
Lecturing, answer and questions techniques and problem solving |
|
9 |
Midterm exam |
preparing exam |
written exam |
|
10 |
Integrals Involving Trigonometric Functions |
Kadıoğlu ve Kamali (2005) related chapter
Balcı (2000) related chapter |
Lecturing, answer and questions techniques and problem solving |
|
11 |
Riemann sum, definite integrals |
Kadıoğlu ve Kamali (2005) related chapter
Balcı (2000) related chapter |
Lecturing, answer and questions techniques and problem solving |
|
12 |
Fundemantal İntegrals Theorems |
Kadıoğlu ve Kamali (2005) related chapter
Balcı (2000) related chapter |
Lecturing, answer and questions techniques and problem solving |
|
13 |
İntegration method and definite integrals |
Kadıoğlu ve Kamali (2005) related chapter
Balcı (2000) related chapter |
Lecturing, answer and questions techniques and problem solving |
|
14 |
arc length, area |
Kadıoğlu ve Kamali (2005) related chapter
Balcı (2000) related chapter |
Lecturing, answer and questions techniques and problem solving |
|
15 |
Area and Volume Formulas |
Kadıoğlu ve Kamali (2005) related chapter
Balcı (2000) related chapter |
Lecturing, answer and questions techniques and problem solving |
|
16/17 |
Final exam |
preparing exam |
written exam |
|
|
| 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 |
|
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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