TÜRKÇE
ENGLISH
Information
| Unit | FACULTY OF EDUCATION |
| COMPUTER EDUCATION AND INSTRUCTIONAL TECHNOLOGY PR. | |
| Code | BTE145 |
| Name | Calculus I |
| Term | 2017-2018 Academic Year |
| Semester | 1. Semester |
| Duration (T+A) | 2-2 (T-A) (17 Week) |
| ECTS | 4 ECTS |
| National Credit | 3 National Credit |
| Teaching Language | Türkçe |
| Level | Belirsiz |
| Type | Normal |
| Label | C Compulsory |
| Mode of study | Yüz Yüze Öğretim |
| Catalog Information Coordinator | Prof. Dr. AYTEN PINAR BAL |
| Course Instructor |
Prof. Dr. AYTEN PINAR BAL
(Güz)
(A Group)
(Ins. in Charge)
|
Course Goal / Objective
The general purpose of this course is to help teacher candidates to gain basic concepts and principles of mathematics
Course Content
The structure of mathematics and its relationship with other disciplines. Sets and operations with sets. Setting binary system, natural numbers. Numbers with different bases, integers numbers Divisibility rules, Lowest Common Multiple (LCM) and Highest Common Factor (HCF) concepts Ratio and Proportion, Compound Variation concepts Real numbers and exponential numbers Rational exponents. Cartesian product and relation concepts. Equivalence relations and ordered relations; Function. Drawing graphics of some special functions
Course Precondition
Resources
Notes
Course Learning Outcomes
| Order | Course Learning Outcomes |
|---|---|
| LO01 | Composite functions, special functions (trigonometry, inverse functions, logarithm and exponential function, closed function) |
| LO02 | Solves problems with Composite functions, special functions (trigonometry, inverse functions, logarithm and exponential function, closed function) |
| LO03 | Explains Limit |
| LO04 | Explains limit in functions |
| LO05 | Explains Limit of Trigonometric functions, solves problems with the concept of Limit |
| LO06 | Explains the concept of Continuity and their properties, Explains the types of Continuity, solving problems with continuous functions and continuity types |
| LO07 | Explains Derivatives and their geometric applications |
| LO08 | Application of Derivatives |
| LO09 | Solves problems with second degree derivatives |
| LO10 | Solving problems with second degree derivatives. |
| LO11 | Solving problems with second degree derivatives. |
| LO12 | Derivatives geometric applications. |
| LO13 | Derivatives geometric applications. |
| LO14 | General evaluation |
| LO15 | Exams |
Relation with Program Learning Outcome
| Order | Type | Program Learning Outcomes | Level |
|---|---|---|---|
| PLO01 | - | Explain sub-fields of instructional technologies and integral structure of its process and also its relation to the other fields. Explain the integral structure of instructional technologies and information technologies or computer science applications. Explain concepts that constitutes the basis for scientific thinking in the scope of the field and the related fields. | |
| PLO02 | - | Apply the processes of analysis, design, development, and evaluation on the basis of knowledge of instructional technologies. Utilize information technologies and computer science applications in order to create an effective and productive learning environment. 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. | |
| PLO03 | - | Apply the processes of analysis, design, development, and evaluation on the basis of knowledge of instructional technologies. Utilize information technologies and computer science applications in order to create an effective and productive learning environment. 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. | |
| PLO04 | - | 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. Put forward new products or processes on the basis of components of instructional technologies, computer science, for the related situations. | |
| PLO05 | - | 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. Take responsibility of an individual or group projects and accomplishing his/her undertaken missions. | |
| PLO06 | - | Follow current problems and applications and determining information and skills to undertake learning missions for the following stage. Apply the solution for the problem on the basis of scientific and ethical values when she/he confronts a learning problem. | |
| PLO07 | - | Build a healthy communication with students, teachers, school administration, and the individuals in the study group. Comprehend a foreign language in order to follow the international resources that can be utilized for the solution of problems related to the field. Take responsibilities for the distribution and dissemination of the developments in the field on local or national range. | |
| PLO08 | - | Act on the basis of scientific and ethical values in her/his works and also support preservation and learning of these values. Develop and evaluate strategic views on topic related to the future of the field. Transfer related progresses in other related fields to the field of instructional technologies. Create and maintain a cooperative and productive working environment by developing an insight related to the behaviors of the shareholders. |
Week Plan
| Week | Topic | Preparation | Methods |
|---|---|---|---|
| 1 | Numbers, number systems and their properties | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) | |
| 2 | Functions and their properties | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) | |
| 3 | Composite functions and inverse functions | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) | |
| 4 | Trigonometry and inverse trigonometry functions | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) | |
| 5 | Logarithm, exponential functions and closed functions | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) | |
| 6 | Solving problems with special functions (trigonometry, inverse functions, logarithm and exponential function, closed function) | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) | |
| 7 | Limit concept, limit in functions. | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) | |
| 8 | Mid-Term Exam | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) | |
| 9 | Limit of Trigonometric functions | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) | |
| 10 | Solving problems with the concept of limit | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) | |
| 11 | Continuity and their properties | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) | |
| 12 | Types of Continuity, solving problems with continuity types | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) | |
| 13 | Derivatives and application of derivatives | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) | |
| 14 | Derivatives geometric applications | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) | |
| 15 | Solving problems with second degree derivatives | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) | |
| 16 | Term Exams | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) | |
| 17 | Term Exams | Kadıoğlu, E.ve Kamali, M. (2005); Akdeniz , F. Ünlü, Y., Dönmez, D. (2007); Balcı, M. (2000) |
Assessment (Exam) Methods and Criteria
| Assessment Type | Midterm / Year Impact | End of Term / End of Year Impact |
|---|---|---|
| 1. Midterm Exam | 50 | 20 |
| 1. Homework | 50 | 20 |
| General Assessment | ||
| Midterm / Year Total | 100 | 40 |
| 1. Final Exam | - | 60 |
| Grand Total | - | 100 |