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Information
| Unit | FACULTY OF EDUCATION |
| SCIENCE TEACHING PR. | |
| Code | FENZ104 |
| Name | General Mathematics II |
| Term | 2021-2022 Academic Year |
| Semester | 2. Semester |
| Duration (T+A) | 2-0 (T-A) (17 Week) |
| ECTS | 3 ECTS |
| National Credit | 2 National Credit |
| Teaching Language | Türkçe |
| Level | Lisans Dersi |
| Type | Normal |
| Label | FE Field Education Courses C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. PERİHAN DİNÇ ARTUT |
| Course Instructor |
Prof. Dr. PERİHAN DİNÇ ARTUT
(Bahar)
(A Group)
(Ins. in Charge)
Prof. Dr. PERİHAN DİNÇ ARTUT (Bahar) (B Group) (Ins. in Charge) |
Course Goal / Objective
The aim of this course is to develop mathematical thinking ways through derivative and integral concepts and their applications.
Course Content
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)
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Explains applications of the derivative |
| LO02 | The graphs of the functions |
| LO03 | Applies the basic theorems of integral calculus |
| LO04 | Explains the integral and its applications |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Explains the basic concepts and relationships between concepts in science. | 0 |
| PLO02 | - | Explains the basic concepts of effective classroom management. | 0 |
| PLO03 | - | Recognizes students´ developmental and learning characteristics and difficulties. | 0 |
| PLO04 | - | Explains programs, strategies, methods and techniques related to the science and technology teaching. | 0 |
| PLO05 | - | Explains application areas of science in everyday life. | 0 |
| PLO06 | - | Offers solutions to problem situations encountered in classroom management. | 0 |
| PLO07 | - | Uses appropriate methods and techniques for the development of students´ critical thinking, creative thinking and problem solving skills. | 5 |
| PLO08 | - | Designs materials from the stuff around in accordance with the requirements of science and technology program and students. | 0 |
| PLO09 | - | Queries information in the field of science and technology using scientific methods . | 0 |
| PLO10 | - | Uses laboratory according to science and technology program in an appropriate and efficient manner. | 0 |
| PLO11 | - | Applies contemporary teaching methods and techniques by which the student can construct their own knowledge. | 0 |
| PLO12 | - | Takes responsibility as an individual and as a team member to solve problems related to the field. | 0 |
| PLO13 | - | Has life-long learning awareness. | 0 |
| PLO14 | - | 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 |
| PLO15 | - | Uses information and communication technologies effectively. | 0 |
| PLO16 | - | Uses English sufficiently to follow developments in science and technology education.s . | 0 |
| PLO17 | - | Sensitive to the agenda of the world and society events / developments . | 0 |
| PLO18 | - | 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 |
| PLO19 | - | Has national and international sensibilities expressed in the Fundamental Law of National Education. | 0 |
| PLO20 | - | Behaves in accordance with democracy, human rights, and social, scientific and proffesional ethical values | 0 |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Equation of tangent line and Equation of normal line | Kadıoğlu ve Kamali (2005) de ilgili bölüm Akdeniz , Ünlü ve Dönmez (2007) de ilgili bölüm | |
| 2 | Increasing and decreasing functions and Maximum and minimum values of functions | Kadıoğlu ve Kamali (2005) de ilgili bölüm Akdeniz , Ünlü ve Dönmez (2007) de ilgili bölüm | |
| 3 | Concavity and Convexity of Functions | Kadıoğlu ve Kamali (2005) de ilgili bölüm Akdeniz , Ünlü ve Dönmez (2007) de ilgili bölüm | |
| 4 | Some theorems related with differentiable function | Kadıoğlu ve Kamali (2005) de ilgili bölüm Akdeniz , Ünlü ve Dönmez (2007) de ilgili bölüm | |
| 5 | L Hospitals Rule and Indeterminate Forms | Kadıoğlu ve Kamali (2005) de ilgili bölüm Akdeniz , Ünlü ve Dönmez (2007) de ilgili bölüm | |
| 6 | Graph of functions | Kadıoğlu ve Kamali (2005) de ilgili bölüm Akdeniz , Ünlü ve Dönmez (2007) de ilgili bölüm | |
| 7 | Graph of functions | Kadıoğlu ve Kamali (2005) de ilgili bölüm Akdeniz , Ünlü ve Dönmez (2007) de ilgili bölüm | |
| 8 | Mid-Term Exam | preparing exam | |
| 9 | Some aplications about derivation | Kadıoğlu ve Kamali (2005) de ilgili bölüm Akdeniz , Ünlü ve Dönmez (2007) de ilgili bölüm | |
| 10 | Differential and its applications | Kadıoğlu ve Kamali (2005) de ilgili bölüm Akdeniz , Ünlü ve Dönmez (2007) de ilgili bölüm | |
| 11 | Indefinite Integrals and Computing Indefinite Integrals, integrations formulas | Kadıoğlu ve Kamali (2005) de ilgili bölüm Akdeniz , Ünlü ve Dönmez (2007) de ilgili bölüm | |
| 12 | Geometric meaning of the indefinite integral | Kadıoğlu ve Kamali (2005) de ilgili bölüm Akdeniz , Ünlü ve Dönmez (2007) de ilgili bölüm | |
| 13 | Substitution Rule for Indefinite Integrals | Kadıoğlu ve Kamali (2005) de ilgili bölüm Akdeniz , Ünlü ve Dönmez (2007) de ilgili bölüm | |
| 14 | partial integration method | Kadıoğlu ve Kamali (2005) de ilgili bölüm Akdeniz , Ünlü ve Dönmez (2007) de ilgili bölüm | |
| 15 | Integral of rational functions | Kadıoğlu ve Kamali (2005) de ilgili bölüm Akdeniz , Ünlü ve Dönmez (2007) de ilgili bölüm | |
| 16 | Term Exams | preparing exam | |
| 17 | Term Exams | preparing exam |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 100 | 40 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |
Student Workload - ECTS
| Works | Number | Time (Hour) | Workload (Hour) |
|---|---|---|---|
| Course Related Works | |||
| Class Time (Exam weeks are excluded) | 14 | 2 | 28 |
| Out of Class Study (Preliminary Work, Practice) | 14 | 2 | 28 |
| Assesment Related Works | |||
| Homeworks, Projects, Others | 0 | 0 | 0 |
| Mid-term Exams (Written, Oral, etc.) | 1 | 6 | 6 |
| Final Exam | 1 | 16 | 16 |
| Total Workload (Hour) | 78 | ||
| Total Workload / 25 (h) | 3,12 | ||
| ECTS | 3 ECTS | ||