| Ders Adı | Kodu | Yarıyıl | T+U Saat | Kredi | AKTS |
|---|---|---|---|---|---|
| Mathematıcs I | MAT 115 | 1 | 3 + 0 | 3 | 3 |
| Ön Koşul Dersleri | |
| Önerilen Seçmeli Dersler | |
| Dersin Dili | Türkçe |
| Dersin Seviyesi | Lisans |
| Dersin Türü | Zorunlu |
| Dersin Koordinatörü | Prof.Dr. AKADEMİK PERSONEL |
| Dersi Verenler | |
| Dersin Yardımcıları | Research Assistants in mathematics department |
| Dersin Kategorisi | Diğer |
| Dersin Amacı | To give fundamental conceptions of mathematical analysis and limit,continuity, derivative and applications of derivative in single-valued functions |
| Dersin İçeriği | Fundamental conceptions of mathematical analysis, set and number conceptions,functions and special functions,sequence of real numbers,convergence,upper nad lower limits,properties of continuous functions,derivative, higher order derivative,geometric and physical meaning of the derivative, theorems related with derivative,indefinite limits, drawing curves |
| # | Ders Öğrenme Çıktıları | Öğretim Yöntemleri | Ölçme Yöntemleri |
|---|---|---|---|
| 1 | He/she defines the set and number conceptions | Problem Solving, Question-Answer, Discussion, Drilland Practice, Lecture, | Testing, Homework, |
| 2 | He/she recognizes functions and some special functions | Drilland Practice, Lecture, Discussion, Question-Answer, Problem Solving, | Homework, Testing, |
| 3 | He/she expresses to take the limit at one point of functions | Problem Solving, Question-Answer, Discussion, Lecture, Drilland Practice, | Testing, Homework, |
| 4 | He/she interprets the sequence and properties of sequences | Drilland Practice, Lecture, Discussion, Question-Answer, Problem Solving, | Homework, Testing, |
| 5 | He/she employs the properties of continuous functions | Problem Solving, Question-Answer, Discussion, Drilland Practice, Lecture, | Testing, Homework, |
| 6 | He/she explains the concept of derivative and applications of derivative | Drilland Practice, Lecture, Discussion, Question-Answer, Problem Solving, | Homework, Testing, |
| 7 | He/she compares the geometric and physical meaning of the derivative | Problem Solving, Question-Answer, Discussion, Lecture, Drilland Practice, | Testing, Homework, |
| 8 | He/she interprets the theorems related with derivative | Drilland Practice, Lecture, Discussion, Question-Answer, Problem Solving, | Homework, Testing, |
| 9 | He/she calculates indefinite limits | Problem Solving, Question-Answer, Discussion, Lecture, Drilland Practice, | Testing, Homework, |
| 10 | He/she explains drawing curves | Drilland Practice, Lecture, Discussion, Question-Answer, Problem Solving, | Homework, Testing, |
| Hafta | Ders Konuları | Ön Hazırlık |
|---|---|---|
| 1 | Sets (operations of set, open sets,closed sets,limit points,etc.,) | |
| 2 | Sets of numbers ( Natural numbers,Integers,Rational numbers,Real numbers and their properties.) | |
| 3 | Conceptions of Supremum, infimum, limsup,liminf, induction, conceptions of functions | |
| 4 | Some special functions and their properties | |
| 5 | Sequence of real numbers,boundedness, convergence,Reel sayı dizileri, sınırlılık, yakınsaklık,Bolzano-Weierstrass theorem,monotonic sequences | |
| 6 | Limit and continuity of Functions | |
| 7 | Properties of continuous (theorems of continuity), uniform continuity | |
| 8 | Derivative, Rules of derivative | |
| 9 | Methods of derivative | |
| 10 | The geometric and physical meaning of the derivative.Theorems related with the derivative | |
| 11 | Theorems related with the derivative | |
| 12 | To compute the indefinite limits | |
| 13 | Differentials and draw the curves (Cartesian coordinates) | |
| 14 | To draw the curves ( Polar Coordinates) |
| Kaynaklar | |
|---|---|
| Ders Notu | |
| Ders Kaynakları | |
| Sıra | Program Çıktıları | Katkı Düzeyi | |||||
|---|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | |||
| 1 | Having necessary knowledge and skills for performing his/her proficiency in the subject of motor Technologies and basic manufacturing processes | X | |||||
| 2 | Having the latest knowledge and skills for theoretical and practical applications of motor systems and principals | ||||||
| 3 | Having the latest knowledge and skills for theoretical and practical applications of vehicle systems | ||||||
| 4 | Having the latest knowledge and skills for performing tests, control and maintenance of motor/vehicle systems and hardware | ||||||
| 5 | Having the latest knowledge and skills for diagnostics and renovation processes of vehicle/motor systems | ||||||
| 6 | Having the latest knowledge in Science and Engineering | X | |||||
| 7 | Having the latest knowledge and skills in the area of electric-electronic-computer for performing tasks related to his/her proficiency | ||||||
| 8 | Having foreign language skills and knowledge for making tasks related to his/her proficiency | ||||||
| 9 | Having the latest knowledge and skills for making design and research projects in his/her area | X | |||||
| 10 | Having the latest knowledge and skills in the area of servicing/management/job security related to his/her proficiency | ||||||
| 11 | Having the latest knowledge and skills for performing tasks in teaching and education in his/her area | ||||||
| 12 | Having necessary knowledge for performing tasks in the automobile industry | ||||||
| Değerlendirme Sistemi | |
|---|---|
| Yarıyıl Çalışmaları | Katkı Oranı |
| 1. Ara Sınav | 70 |
| 1. Kısa Sınav | 10 |
| 1. Ödev | 10 |
| 2. Kısa Sınav | 10 |
| 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 | 2 | 32 |
| Mid-terms | 1 | 4 | 4 |
| Quiz | 2 | 3 | 6 |
| Assignment | 1 | 3 | 3 |
| Final examination | 1 | 10 | 10 |
| Toplam İş Yükü | 87 | ||
| Toplam İş Yükü / 25 (Saat) | 3,48 | ||
| Dersin AKTS Kredisi | 3 | ||