| Course Name | Code | Semester | T+U Hours | Credit | ECTS |
|---|---|---|---|---|---|
| Fundamentals Of Mathematics | IME 506 | 0 | 3 + 0 | 3 | 6 |
| Precondition Courses | |
| Recommended Optional Courses | |
| Course Language | Turkish |
| Course Level | yuksek_lisans |
| Course Type | Optional |
| Course Coordinator | Dr.Öğr.Üyesi ERCAN MASAL |
| Course Lecturers | |
| Course Assistants | Res.Asst.Mithat TAKUNYACI |
| Course Category | Field Proper Education |
| Course Objective | Introduce students of elementary mathematics with concepts of basic mathematics and inform them about construction of number system by the help of their historical evolution |
| Course Content | Natural numbers, Peano Axioms , ordering natural numbers, countable, integers and features, Tamsayılar ve özellikleri , definition of rational numbers and features, rational number sequences, positive real numbers, real number sequences, principle of supremum, decimal presentation, number axis and extended real number system,, definition of complex numbers, conjugate and absolute value, basic theorem of algebra. |
| # | Course Learning Outcomes | Teaching Methods | Assessment Methods |
|---|---|---|---|
| 1 | Explain construction of national numbers. | Lecture, Question-Answer, Discussion, | Testing, Homework, |
| 2 | Express construction of rational numbers and their properties and relate them with integers. | Lecture, Question-Answer, Discussion, | Testing, Homework, |
| 3 | Express the properties of rational numbers and construction of rational numbers and relate with whole numbers. | Lecture, Question-Answer, Discussion, | Testing, Homework, |
| 4 | Explain the construction of real numbers. | Lecture, Question-Answer, Discussion, | Testing, Homework, |
| 5 | Express the complex numbers and subjects of operations on complex numbers. | Lecture, Question-Answer, Discussion, | Testing, Homework, |
| 6 | Solve problems related solution of equation and inequality by the help of definited operations on given construction of every number system. | Lecture, Question-Answer, Discussion, | Testing, Homework, |
| Week | Course Topics | Preliminary Preparation |
|---|---|---|
| 1 | Natural numbers, Peano indications | |
| 2 | Ordering natural numbers, countable | |
| 3 | Definitions of integers and their properties | |
| 4 | Integers and their properties | |
| 5 | Definition of rational numbers | |
| 6 | Properties of rational numbers | |
| 7 | Sequences of rational numbers, Cauchy sequences | |
| 8 | Definitions of real numbers and their properties | |
| 9 | Mid – Term Exam | |
| 10 | Positive real numbers, sequences of real number | |
| 11 | Principle of least upper bound (L.U.B), decimal notation | |
| 12 | Number axis and extended real number system | |
| 13 | Definition of complex numbers, conjugate and absolute value | |
| 14 | Basic Theorem of Algebra |
| Resources | |
|---|---|
| Course Notes | |
| Course Resources | |
| Evaluation System | |
|---|---|
| Semester Studies | Contribution Rate |
| 1. Ara Sınav | 50 |
| 1. Kısa Sınav | 15 |
| 1. Ödev | 20 |
| 2. Kısa Sınav | 15 |
| Total | 100 |
| 1. Yıl İçinin Başarıya | 60 |
| 1. Final | 40 |
| Total | 100 |
| ECTS - Workload Activity | Quantity | Time (Hours) | Total Workload (Hours) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 3 | 48 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 4 | 64 |
| Mid-terms | 1 | 5 | 5 |
| Quiz | 2 | 5 | 10 |
| Assignment | 1 | 10 | 10 |
| Final examination | 1 | 10 | 10 |
| Total Workload | 147 | ||
| Total Workload / 25 (Hours) | 5.88 | ||
| dersAKTSKredisi | 6 | ||