Ders Bilgileri

#### Ders Tanımı

Ders Kodu Yarıyıl T+U Saat Kredi AKTS
DIFFERANTIAL EQUATIONS MAT 231 3 4 + 0 4 5
 Dersin Dili Türkçe Dersin Seviyesi Lisans Dersin Türü ZORUNLU Dersin Koordinatörü Doç.Dr. ALİ ÇORUH Dersi Verenler Doç.Dr. ALİ ÇORUH Dersin Yardımcıları Dersin Kategorisi Dersin Amacı To help students gain the fundamental knowledge of mathematıcs, mechanics and dynamics during their education. Dersin İçeriği Verifying Solutions.Foming Differantial Equations of Families of Curves.Initial Conditions, First –Order Differantial Equations, First –Order Differantial Equations with Variables Separable, First-Order Homogeneous Differantial Equations., Linear Differantial Equations, Miscellaneous Exercises on First-Order Differantial Equations, Linear Differantial Equations of Second Order with Constant Coefcients., First–Order Linear Differantial Equation, Euler´s Equation, Systems of Differantial Equation, Bernoulli’s Equation, Fourier’s Method, Integration of Differential Equations.
 Dersin Öğrenme Çıktıları Öğretim Yöntemleri Ölçme Yöntemleri 1 - Perceives the diferential methods and processes. 1 - 2 - 4 - 15 - A - C - 2 - Progress in problem solving. 1 - 2 - 4 - 15 - A - C - 3 - Applies diferantial calculations to engineering problems. 2 - 4 - 15 - A - C - 4 - Gains competencies in taking derivatives. 4 - 15 - A - C - 5 - Optains the techniques for the use of the diferantials in error calculations. 1 - 4 - 15 - A - C - 6 - Applies the rule of diferentiation to special physical problems. 1 - 2 - 3 - 4 - 15 - A - C -
 Öğretim Yöntemleri: 1:Lecture 2:Question-Answer 4:Drilland Practice 15:Problem Solving 3:Discussion Ölçme Yöntemleri: A:Testing C:Homework

#### Ders Akışı

Hafta Konular ÖnHazırlık
1 Verifying Solutions. Forming Differantial Equations of Families of Curves, Initial Conditions
2 First –Order Differantial Equations
3 First –Order Differantial Equations with Variables Separable.
4 First-Order Homogeneous Differantial Equations.
5 Linear Differantial Equations
6 Miscellaneous Exercises on First-Order Differantial Equations.
7 Linear Differantial Equations of Second Order with Constant Coefficients.
8 First–Order Linear Differantial Equation
9 MIDTERM EXAM
10 Euler´s Equation.
11 Systems of Differantial Equation.
12 Bernoulli’s Equation.
13 Fourier’s Method.
14 Integration of Differential Equations.

#### Kaynaklar

Ders Notu YÜKSEK MATEMATİK Cilt 1,Prof.Dr.Ahmet A.KARADENİZ.-1996.
Ders Kaynakları 1. MATEMATİK ANALİZ ALIŞTIRMA VE PROBLEMLER DERLEMESİ. B. DEMIDOVITCH, 1992.

#### Döküman Paylaşımı

muhendisler-icin-diferansiyel-denklemler
Diferansiyel Denklemler Dönem Ödevi
dif denk cvp anhtr

#### Dersin Program Çıktılarına Katkısı

No Program Öğrenme Çıktıları KatkıDüzeyi
1 2 3 4 5
1 Having enough background in engineering topics related to mathematics, science and their fields. Skill of using theoretical and applied knowledge with engineering solutions in the field, X
2 Identifing, determining, formulating and solving engineering problems. With this purpose choosing and applying analytical methods and modelling techniques, X
3 To analyze a system, a part of a system or a process itself and the skill of design under the given constrains in order to fulfill the specifications. In that direction, the skill of applying modern design techniques X
4 Skill of choosing and applying the modern techniques and vehicles needed by the engineering applications. Skill of using the information technology effectively. X
5 Skill of designing and performing an experiment, data acquisition, analyzing and interpreting results, X
6 Ability of accessing information and doing research. Skill of using databases and other information sources. X
7 Effective working ability both as an individual and as a part of a multi-disciplinary team, self-esteem on taking responsibility,
8 Ability to make oral or written communication in Turkish. At least one foreign language knowledge, X
9 Consciousness of the necessity of the life time learning, following the developments in science and technology and ability of ones’ continous self renewal. X
10 Consciousness of occupational and ethical responsability, X
11 Consciousness on the subjects of project management, field applications, employees health, environment and work safety; awareness on legal consequences of engineering applications, X

#### Değerlendirme Sistemi

YARIYIL İÇİ ÇALIŞMALARI SIRA KATKI YÜZDESİ
AraSinav 1 70
KisaSinav 1 10
KisaSinav 2 10
Odev 1 10
Toplam 100
Yıliçinin Başarıya Oranı 50
Finalin Başarıya Oranı 50
Toplam 100

#### AKTS - İş Yükü

Etkinlik Sayısı Süresi(Saat) Toplam İş yükü(Saat)
Course Duration (Including the exam week: 16x Total course hours) 16 4 64
Hours for off-the-classroom study (Pre-study, practice) 16 3 48
Mid-terms 1 5 5
Quiz 2 4 8
Assignment 1 5 5
Final examination 1 7 7
Toplam İş Yükü 137
Toplam İş Yükü /25(s) 5.48
Dersin AKTS Kredisi 5.48
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