| Course Name | Code | Semester | T+U Hours | Credit | ECTS |
|---|---|---|---|---|---|
| General Mathematics I | IME 107 | 1 | 4 + 0 | 4 | 5 |
| Precondition Courses | |
| Recommended Optional Courses | |
| Course Language | Turkish |
| Course Level | Bachelor's Degree |
| Course Type | Compulsory |
| Course Coordinator | Doç.Dr. MİTHAT TAKUNYACI |
| Course Lecturers | |
| Course Assistants | Research Assistant Özkan Ergene |
| Course Category | Other |
| Course Objective | To improve using concepts as attractive skills by remembering students’ mathematical pre-knowledge. |
| Course Content | Numbers: number systems and properties, inductive methods, range, absolute value. Relation: order pairs, cartesian product, definition of relation, properties of relation, inverse-relation, equivalance relation, order relation. Function: definition of function, properties, function varieties, inverse function, composite function, trigonometric functions, exponentional functions, logarithmic functions, inverse-trigonometric functions, custom defined functions. Limit: limit of a variable and limits on functions, limit of trigonometric functions. Continuity: definition of continuity, continuity from the right and left, properties of continuous functions, continuity varieties. Derivative: definition of derivative, geometric meaning of the derivative, derivative methods, higher ordered derivatives. |
| # | Course Learning Outcomes | Teaching Methods | Assessment Methods |
|---|---|---|---|
| 1 | Express number systems and properties. | Lecture, Discussion, | |
| 2 | Express relation and properties. | Lecture, Discussion, | |
| 3 | Apply problems about concept of function, kinds and related applications. | Lecture, Discussion, | |
| 4 | Interpret graph of basic and custom defined functions. | Lecture, Discussion, | |
| 5 | Express and calculate limit of functions. | Lecture, Discussion, | |
| 6 | Express concept of continuity, varieties and properties of continuous fonctions. | Lecture, Discussion, | |
| 7 | Express definition of derivative, geometric and physical meaning of the derivative. | Lecture, Discussion, | |
| 8 | Calculate derivative methods and its applications. | Lecture, Discussion, |
| Week | Course Topics | Preliminary Preparation |
|---|---|---|
| 1 | Number systems and properties | |
| 2 | Order pairs, cartesian product, definition of relation, properties of relation | |
| 3 | Equivalance relation and order relation | |
| 4 | Definition of function and properties | |
| 5 | Function varieties and their graphs | |
| 6 | Custom defined functions and their graphs | |
| 7 | Limit of a variable and limits on functions, limit of trigonometric functions | |
| 8 | Limit of a variable and limits on functions, limit of trigonometric functions | |
| 9 | Mid –Term Exam | |
| 10 | Definition of continuity, continuity from the right and left, properties of continuous functions and varieties | |
| 11 | Definition of derivative | |
| 12 | Geometric and physical meaning of the derivative and rules of derivative methods | |
| 13 | Rules of derivative methods | |
| 14 | Rules of derivative methods and higher ordered derivatives. |
| Resources | |
|---|---|
| Course Notes | |
| Course Resources | |
| Order | Program Outcomes | Level of Contribution | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Students understand relations among Physical, Chemical, Biological and Mathematical concepts. | X | |||||
| 2 | Students have knowledge of the nature, sources and boundaries science and technology. | X | |||||
| 3 | Students analyze the events related to their field of study by using scientific methods and techniques. | X | |||||
| 4 | Students evaluate the knowledge gained in science and science education with a critical approach, identify the needs in this area, try to maintain their education life-long and use technology effectively to follow up the developments and get up-to-date information. | ||||||
| 5 | Students plan, carry out and evaluate a lesson with the knowledge and skills they have taken in the science program. | ||||||
| 6 | Students choose appropriate teaching methods based on the objectives of the curriculum according to the characteristics of the subjects in science teaching and apply them. | ||||||
| 7 | Students design and develop teaching materials according to the needs of the students and the subjects to be taught in science teaching. | X | |||||
| 8 | Students evaluate students' achievements by using multiple different methods. | ||||||
| 9 | Students have knowledge about the characteristics and difficulties of learning about science and technology depending on the level of development of the students. | ||||||
| 10 | Teachers choose and apply different teaching methods in accordance with the developmental characteristics of the students. | ||||||
| 11 | Students generate ideas and develop projects, solutions and support qualitative and quantitative benefits in areas of science education and in other problem situations. | X | |||||
| 12 | Students communicate verbally and in writing, use information and communication technologies using at least one foreign language, follow developments in this area and develop communication skills with their colleagues. | X | |||||
| 13 | Students develop professional responsibility and ethical awareness. | X | |||||
| 14 | Students recognize the Turkish National Education System, teaching profession and educational sciences in all its aspects. | X | |||||
| 15 | Students know the teacher's guidance duties and learn ways to recognize students. | X | |||||
| # | Contribution of Course Learning Outcomes to Program Outcomes | PÇ 1 | PÇ 2 | PÇ 3 | PÇ 4 | PÇ 5 | PÇ 6 | PÇ 7 | PÇ 8 | PÇ 9 | PÇ 10 | PÇ 11 | PÇ 12 | PÇ 13 | PÇ 14 | PÇ 15 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 1 | Express number systems and properties. | |||||||||||||||
| 2 | Express relation and properties. | |||||||||||||||
| 3 | Apply problems about concept of function, kinds and related applications. | |||||||||||||||
| 4 | Interpret graph of basic and custom defined functions. | |||||||||||||||
| 5 | Express and calculate limit of functions. | |||||||||||||||
| 6 | Express concept of continuity, varieties and properties of continuous fonctions. | |||||||||||||||
| 7 | Express definition of derivative, geometric and physical meaning of the derivative. | |||||||||||||||
| 8 | Calculate derivative methods and its applications. |
| Evaluation System | |
|---|---|
| Semester Studies | Contribution Rate |
| 1. Ara Sınav | 60 |
| 1. Kısa Sınav | 15 |
| 1. Ödev | 10 |
| 2. Kısa Sınav | 15 |
| Total | 100 |
| 1. Yıl İçinin Başarıya | 50 |
| 1. Final | 50 |
| Total | 100 |
| ECTS - Workload Activity | Quantity | Time (Hours) | Total Workload (Hours) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 4 | 64 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 2 | 32 |
| Mid-terms | 1 | 8 | 8 |
| Quiz | 2 | 4 | 8 |
| Assignment | 1 | 3 | 3 |
| Final examination | 1 | 10 | 10 |
| Total Workload | 125 | ||
| Total Workload / 25 (Hours) | 5 | ||
| dersAKTSKredisi | 5 | ||