| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Lınear Algebra I | IME 203 | 3 | 3 + 1 | 4 | 5 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Lisans |
| Dersin Türü | Zorunlu |
| Dersin Koordinatörü | Prof.Dr. MELEK MASAL |
| Dersi Verenler | Prof.Dr. MELEK MASAL, |
| Dersin Yardımcıları | Assist.Emine Nur BILGIC |
| Dersin Kategorisi | Alanına Uygun Temel Öğretim |
| Dersin Amacı | To show application fields of mathematics by getting mathematics easier and pleasurable by means of this course which contain basic equipment in mathematics and engineer and most important concepts of mathematical language |
| Dersin İçeriği | Vectors in R^2 and R^3, m x n matrices; addition and scaler product in matrices space, linear independence in matrice space, introduction to concept of vector space. Linear equation systems, Gauss elimination, subspaces. Linear independence and dimension. Linear transformations, relationship between linear transformations and matrices, matrices product, inverse of matrices and applications. |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 1 | Explain matrixes and linear equations systems | Lecture, Drilland Practice, | Testing, |
| 2 | Express solution of linear equation systems by the help of elemanter operations and solve with this method | Drilland Practice, Lecture, | Testing, |
| 3 | Express solution of linear equation systems by the help of Gauss – Jordan Elimination Method and solve with this method | Lecture, Drilland Practice, | Testing, |
| 4 | Express concept of linear independence, linear dependance, basis, dimension and apply their applications | Lecture, Drilland Practice, | Testing, |
| 5 | Express and apply isomorphism and do applications | Lecture, Drilland Practice, | Testing, |
| 6 | Express and apply rank of a matrix and do applications | Drilland Practice, Lecture, | Testing, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 1 | Short definition of group, ring, field | |
| 2 | Matrixes, addition and scaler product in matrix space, matrix product and applications | |
| 3 | Square matrix, inverse of a matrix, tranposition of a matrix, some special matrix and exercises | |
| 4 | Echolon form of a matrix, elemanter operations, elemanter matrixes, theorem of factorisation | |
| 5 | Matrix and linear equations system, solution of linear equation systems by the help of elemanter operations | |
| 6 | Gauss – Jordan Elimination Method and exercises | |
| 7 | Vectors on R^2 and R^3, vector spaces, subspaces, trivial space, proper subsapace | |
| 8 | Linear independence, linear dependance, basis, dimension, applications | |
| 9 | Mid – Term Exam | |
| 10 | Theorem of basis complementation, quotient spaces | |
| 11 | Direct sum | |
| 12 | Isomorphisms and exercises | |
| 13 | Rank of a matrix and related exercises | |
| 14 | Application of rank ( solutions of linear equation systems ) |
| 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 | ||||||
| 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 | 10 |
| 1. Ara Sınav | 50 |
| 1. Kısa Sınav | 20 |
| 2. Kısa Sınav | 20 |
| 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 | 5 | 5 |
| Quiz | 3 | 5 | 15 |
| Final examination | 1 | 5 | 5 |
| Toplam İş Yükü | 121 | ||
| Toplam İş Yükü / 25 (Saat) | 4,84 | ||
| Dersin AKTS Kredisi | 5 | ||