Dersin Adı Dersin Seviyesi Dersin Kodu Dersin Tipi Dersin Dönemi Yerel Kredi AKTS Kredisi Ders Bilgileri
CALCULUS - III Birinci Düzey MAT 201 Zorunlu 3 6.00 6.00 Yazdır
   
Dersin Tanımı
Ön Koşul Dersleri
Eğitimin Dili English
Koordinatör ARAŞTIRMA GÖREVLİSİ ERCAN BALCI
Dersi Veren Öğretim Eleman(lar)ı
Yardımcı Öğretim Eleman(lar)ı
Dersin Veriliş Şekli
Dersin Amacı Objective of this course is to explain physics and mathematics meaning of a differential and integral calculus, differential equations and vector mathematics. Thereby, all mathematical solution processes will be explained and applications in the mechanical engineering will be given.
Dersin Tanımı There are four mathematics lessons in the mechanical engineering in the undergraduate level. Mathematical Methods in Engineering-I covers all contents of Mathematics I, Mathematics II, Differential Equations and Engineering Mathematics. However, the given samples for topics will be more complex than those of the undergraduate level. Mathematics II will be a background for Mathematical Methods in Engineering-I and II.

Dersin İçeriği
1 Differential integral calculus and numerical methods.
2 Differential elements, differential and integral calculus. Boundary and Initial conditions. Order, linearity and homogenity of ordinary differantial equations.
3 Integral and separation of variables for ordinary differential equations.
4 The undetermined coefficients method for ordinary differential equations.
5 The variation of variables method for ordinary differential equations.
6 1.order differantial equations: linear equations, exact differential equation, Bernoulli and Riccati equations.
7 Higher order linear equations: Homogenous solutions.
8 Higher order linear equations: Non-homogenous solutions.
9 Bernoulli and Riccati Equations.
10 Solutions of ordinary differential equations by Power Series.
11 Homogeneous solution of high order linear variable differential equations with variable coefficients: Euler-Cauchy Equation.
12 Homogeneous solution of high order variable coefficient linear differential equations: Power Series Solution.
13 Simple systems of differential equations and introduction to partial differential equations.
14 Simple systems of differential equations and introduction to partial differential equations.
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Dersin Öğrenme Çıktıları
1 To understand the application of mathematics to the general engineering problems.
2 To learn different mathematical methods of solution of engineering problems.
3 Ability to apply engineering mathematics to the solution of mechanical engineering problems.
4 Ability to explain engineering problems with mathematics.
5 To apply mathematical principles to real world problems.
6 Students with mathematical background to the other courses of Department of Mechanical Engineering with Differential Equations.
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*Dersin Program Yeterliliklerine Katkı Seviyesi
1 Applies engineering knowledge related to mathematics, science, basic engineering, and computer-based calculations to solve engineering problems.
2 Gains the ability to develop engineering solutions using discipline-specific knowledge and methods.
3 Defines complex engineering problems and formulates them using fundamental science and engineering knowledge.
4 Defines and analyzes solutions to problems, taking into account the UN Sustainable Development Goals.
5 Designs creative solutions to complex engineering problems.
6 Gains the ability to design complex systems, processes, devices, or products by considering realistic constraints in the engineering problem-solving process.
7 For the analysis and solution of complex engineering problems, selects and effectively applies appropriate methods, techniques, resources, and modern engineering and computing tools, including estimation and modeling.
8 Aware of the limitations of the methods, techniques, and IT tools used, it produces and implements appropriate solutions.
9 Conducts literature research to examine complex engineering problems and collects data within the scope of these studies.
10 Using research methods, the student designs and conducts experimental or applied studies, analyze and evaluate the results.
11 Within the scope of the UN Sustainable Development Goals, the student is knowledgeable about the impacts of engineering solutions on society, health and safety, the economy, sustainability, and the environment, and analyze these impacts.
12 Gains awareness of the legal consequences of engineering solutions.
13 The student acts in accordance with professional principles and legal regulations in engineering practice and acquires knowledge about ethical responsibilities.
14 Gains awareness about non-discrimination, impartiality, and inclusiveness of diversity.
15 Gains the ability to work effectively as an individual, team member, or team leader in intra-disciplinary or multi-disciplinary team projects.
16 Gains the ability to communicate effectively in technical matters, both verbally and in writing by taking into account the differences in the target audience''s education, language, and profession.
17 Gains the ability to apply project management principles, perform time and resource planning, and conduct economic feasibility analysis.
18 Gains awareness about entrepreneurship and innovation.
19 Gains the ability to adapt to new and emerging technologies and to evaluate technological changes with a questioning and critical perspective.
20 Gains the ability to independently and continuously learn new knowledge and skills.
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Yıldızların sayısı 1’den (en az) 5’e (en fazla) kadar katkı seviyesini ifade eder

Planlanan Öğretim Faaliyetleri, Öğretme Metodları ve AKTS İş Yükü
  Sayısı Süresi (saat) Sayı*Süre (saat)
Yüz yüze eğitim 14 4 56
Sınıf dışı ders çalışma süresi (ön çalışma, pekiştirme) 14 3 42
Ödevler 4 3 12
Sunum / Seminer hazırlama 0 0 0
Kısa sınavlar 0 0 0
Ara sınavlara hazırlık 1 5 5
Ara sınavlar 1 1 1
Proje (Yarıyıl ödevi) 0 0 0
Laboratuvar 0 0 0
Arazi çalışması 0 0 0
Yarıyıl sonu sınavına hazırlık 5 2 10
Yarıyıl sonu sınavı 1 2 2
Araştırma 4 3 12
Toplam iş yükü     140
AKTS     6.00

Değerlendirme yöntemleri ve kriterler
Yarıyıl içi değerlendirme Sayısı Katkı Yüzdesi
Ara sınav 1 100
Kısa sınav 0 0
Ödev 0 0
Yarıyıl içi toplam   100
Yarıyıl içi değerlendirmelerin başarıya katkı oranı   40
Yarıyıl sonu sınavının başarıya katkı oranı   60
Genel toplam   100

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