| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Geometry | IME 104 | 2 | 3 + 0 | 3 | 5 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Lisans |
| Dersin Türü | Zorunlu |
| Dersin Koordinatörü | Doç.Dr. AYŞE ZEYNEP AZAK |
| Dersi Verenler | |
| Dersin Yardımcıları | Res.Assist.Mithat TAKUNYACI |
| Dersin Kategorisi | Alanına Uygun Temel Öğretim |
| Dersin Amacı | Improve structure of mathematical thinking by the help of concept and theorems of basic geometry |
| Dersin İçeriği | Definition of geometry, its’ struction and using in real life. Axiom, non-defining concept, explanation of theorem. Euclid and non-euclide geometries. Basic axioms of euclid geometry. Relations between point in space, line and plane. Angle concept, kinds of angle, equation of angles and equality axioms, applications on angles. Definition of poligon concept. Definition of trianngle concept, kinds of triangles, basic and aide-components of triangle. Equality axiom and theorems about triangles, applications about equality on triangles, similarity theorems about triangles, applications about similarity on triangles. Proof of trapezoid, parallelogram, equilateral quadrangle, rectangle, square. Applications on quadrangle. Concepts of circle and disk, theorems and proofs of angle and length on circle and disk, applications on angle and length on circle and disk. Properties of matters in space, areas and volumes of solid matters |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 1 | Explain and apply definition of geometry,its structure and usage in real life | Lecture, Drilland Practice, | Testing, Homework, |
| 2 | Solve problems related definition of trianngle concept, kinds of triangles, basic and aide-components of triangle, equality axiom and theorems about triangles, applications about equality on triangles. | Drilland Practice, Lecture, | Homework, Testing, |
| 3 | Solve problems related similar triangles, similarity theorems, applications about similarity on triangles. | Lecture, Drilland Practice, | Testing, Homework, |
| 4 | Express relations between concepts of line, plane and point. | Drilland Practice, Lecture, | Homework, Testing, |
| 5 | Explain concepts of angle, poligon, triangle, disk and their applications. | Lecture, Drilland Practice, | Testing, Homework, |
| 6 | Solve problems related properties of matter in space, area and volume of solid matters. | Lecture, Drilland Practice, | Testing, Homework, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 1 | Definition of geometry, its’ struction and using in real life. Axiom, non-defining concept, explanation of theorem. Euclid and non-euclide geometries. Basic axioms of euclid geometry. Relations between point in space, line and plane. | |
| 2 | Angle concept, kinds of angle, equation of angles and equality axioms, bisector, theorems related angles and applications on angles | |
| 3 | Definition of trianngle concept, kinds of triangles, basic and aide-components of triangle. Equality axiom and theorems about triangles, applications about equality on triangles. | |
| 4 | Basic theorems and applcations related isosceles triangle, equilateral triangle, right-angled triangle | |
| 5 | Similar triangles, similarity theorems, applications about similarity on triangles, metric relations on right-angled triangle | |
| 6 | I., II. Thales Theorems, bisector theorem, Menelaus Theorem, Ceva Theorem. | |
| 7 | Definition of poligon concept, proof of related theorems as on quadrangle, parallelogram, equilateral quadrangle, rectangle, square, deltoid, trapezoid, isosceles trapezoid, applications related quadrangles | |
| 8 | Concepts of circle and disk, angle, arc, chord, tangent, theorems and proofs related length on circle and disk, applications related angle and length on circle and disk. | |
| 9 | Mid – Term Exam | |
| 10 | Inscribed quadrilateral, calculation on length of circle and arc, tangent quadrangle, common tangent of two circle, power of point according to circle, concept of geometrical place, basic drawings ( as drawing triangle given some elements…) | |
| 11 | Areas of polygonal regions, areas of polygons, areas of regular polygons, calculations on disk, properties of matters in space, solid matter, prisms, right and oblique prisms | |
| 12 | Areas and volumes of prisms, pyramids, areas and volumes of pyramids, applications related prisms and pyramids | |
| 13 | Conic, area and volume of conic, cutting pyramids, area and volumes of cutting pyramids, applications related conic and cutting pyramids | |
| 14 | Sphere, slice of sphere, concept of sphere cover, their area and volumes, applications related sphere. |
| Kaynaklar | |
|---|---|
| Ders Notu | |
| Ders Kaynakları | |
| 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. Ödev | 100 |
| Toplam | 100 |
| 1. Yıl İçinin Başarıya | 40 |
| 1. Final | 60 |
| Toplam | 100 |
| AKTS - İş Yükü Etkinlik | Sayı | Süre (Saat) | Toplam İş Yükü (Saat) |
|---|---|---|---|
| Course Duration (Including the exam week: 16x Total course hours) | 16 | 3 | 48 |
| Hours for off-the-classroom study (Pre-study, practice) | 16 | 3 | 48 |
| Mid-terms | 1 | 10 | 10 |
| Quiz | 2 | 4 | 8 |
| Assignment | 1 | 5 | 5 |
| Final examination | 1 | 15 | 15 |
| Toplam İş Yükü | 134 | ||
| Toplam İş Yükü / 25 (Saat) | 5,36 | ||
| Dersin AKTS Kredisi | 5 | ||