| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Fundamentals Of Mathematıcs | IME 405 | 7 | 2 + 0 | 2 | 5 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Lisans |
| Dersin Türü | Seçmeli |
| Dersin Koordinatörü | Dr.Öğr.Üyesi NURAY ÇALIŞKAN DEDEOĞLU |
| Dersi Verenler | |
| Dersin Yardımcıları | Res.Assist. Özkan Ergene |
| Dersin Kategorisi | Alanına Uygun Öğretim |
| Dersin Amacı | 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 |
| Dersin İçeriği | 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. |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 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. | Question-Answer, Discussion, Problem Solving, | Testing, Homework, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 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 |
| Kaynaklar | |
|---|---|
| Ders Notu | |
| Ders Kaynakları | [1] Karakaş, H.İbrahim (2001). Matematiğin Temelleri, Ankara: Metu Press |
| Sıra | Program Çıktıları | Katkı Düzeyi | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Have general information about basic concept, theory and applicaitons on mathematics | X | |||||
| 2 | Have ability of mathematical thinking and apply to real life | X | |||||
| 3 | Classify a problem systematically also create comprehensible, understandable and objective solutions | X | |||||
| 4 | Establish relationship among events looked different | X | |||||
| 5 | Get clear and exact ideas about relationships among time, place and numbers | X | |||||
| 6 | Use principles of scientific method on problem solving | X | |||||
| 7 | Have character on explorer, impartial, disinterested, give sound decisions, open mind and believe that spreading information is needed | X | |||||
| 8 | Think creative and critical | X | |||||
| 9 | Improve methods as fast, understandable and practical to faced problems | X | |||||
| 10 | Have information about national and international modern problems | ||||||
| 11 | Get life long learning behaviour | X | |||||
| 12 | Know and apply approach, aim, goal, principle and techniques of teaching program on special field with basic value and principles of Turkish National Education System | X | |||||
| 13 | Evaluate development and learning of students, provide to evaluate self-assessment and other students. Use the assessment results to better instruction; share the results with student, parent, administrators and teachers. | ||||||
| 14 | Endeavor for constant development by making self-evaluation. Open the new knowledge and ideas, have a role to develop himself/herself and his/her institution. Have enough knowledge and conscious to protection subjects on society values and environment. | ||||||
| 15 | Interrogator ( get habit to find source of knowledge by asking “Why?” question instead of direct acceptance to given knowledges ) | X | |||||
| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ara Sınav | 40 |
| 1. Kısa Sınav | 20 |
| 1. Ödev | 20 |
| 2. Kısa Sınav | 20 |
| Toplam | 100 |
| 1. Yıl İçinin Başarıya | 50 |
| 1. Final | 50 |
| Toplam | 100 |
| AKTS - İş Yükü Etkinlik | Sayı | Süre (Saat) | Toplam İş Yükü (Saat) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 2 | 32 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 3 | 48 |
| Mid-terms | 1 | 10 | 10 |
| Quiz | 2 | 2 | 4 |
| Assignment | 1 | 10 | 10 |
| Final examination | 1 | 20 | 20 |
| Toplam İş Yükü | 124 | ||
| Toplam İş Yükü / 25 (Saat) | 4,96 | ||
| Dersin AKTS Kredisi | 5 | ||