Dersin Adı Dersin Seviyesi Dersin Kodu Dersin Tipi Dersin Dönemi Yerel Kredi AKTS Kredisi Ders Bilgileri
MATHEMATICS II Birinci Düzey B-SRV112 2 4.00 4.00 Yazdır
   
Dersin Tanımı
Ön Koşul Dersleri No
Eğitimin Dili İNGİLİZCE
Koordinatör ARAŞTIRMA GÖREVLİSİ ERCAN BALCI
Dersi Veren Öğretim Eleman(lar)ı ARAŞTIRMA GÖREVLİSİ DR. MURAT RUHLUSARAÇ
Yardımcı Öğretim Eleman(lar)ı No
Dersin Veriliş Şekli LECTURE
Dersin Amacı To develop a positive learning attitude toward mathematics. To connect and to enable students to apply and use mathematical concepts and ideas in their branch of study as well as to everyday experiences.. To become effective problem solvers by choosing appropriate methods, employing a variety of strategies, and exploring alternative approaches to solve problems
Dersin Tanımı Multivariable, optimization (with and without restriction), integration, matrices, financial mathematics.

Dersin İçeriği
1 Rules of Derivative (Remember)
2 Derivative of Multivariable Functions (or Partial Derivative)
3 Multivariable Optimization and Restricted Optimization Using Lagrangian Method
4 Optimization Applications from Economics (Cobb-Douglass Production Function and etc)
5 Introduction to İntegration and Indefinite Integral
6 Definite and Improper Integral
7 Integral and Area Under a Curve and Some Economic Applications of Integral
8 MIDTERM EXAM
9 Introduction to Matrices and Matrix Operations and Basic Rules
10 Determinants and Inverse of a Matrix.
11 Solution of System Equations using Matrices (Cramer’s Rule)
12 Solution of System Equations using Matrices (Inverse Matrix)
13 Some Applications of Matrices (Input-Output Model).
14 Introduction to Financial Mathematics 1
15 Introduction to Financial Mathematics 2
16 Final Exam
17 Final Exam
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Dersin Öğrenme Çıktıları
1 Performs Riemann Sums to estimate areas under the curve, and applies Fundamental Theorem of Calculus to evaluate definite integrals.
2 Evaluates accurately definite and indefinite integrations,by using integration by parts, substitution, inverse substitution. Performs the procedures for integrating rational functions. Evaluates the surface area.
3 Discusses multivariable functions, differentials and evaluate extreme value(s) of a bivariate function.
4 Evaluates the double integral of a bivariate function and evaluate the volume of a solid under the graph of the bivariate function over a region.
5 Evaluates the conceptual and visual representation of trigonometric functions, basic differentiation rules and integration techniques for trigonometric functions.
6 Demonstrates analytical and critical thinking skills and to apply and interpret quantitative, qualitative and graphical information in a problem-­-solving context.
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*Dersin Program Yeterliliklerine Katkı Seviyesi
1 Students use theoretical, conceptual and applied knowledge about international relations and its sub-fields such as international politics, political history and international law.
2 Students discuss issues of social studies such as economics, management, public finance, law and public administration.
3 Students analyze world history from an analytical perspective.
4 Students evaluate foreign policies of Turkey and other international actors from a theoretical and methodological perspective.
5 Students analyze the relationship between foreign and domestic policy domains.
6 Students evaluate the functioning of international legal system.
7 Students apply their theoretical and conceptual knowledge of international relations into actual international affairs.
8 Students use their good command of English to follow scientific and contemporary resources.
9 Students analyze theories, concepts and facts of international relations methodologically.
10 Students have communications and computer skills required in the field of international relations.
11 Students contribute to national and international development by becoming aware of ethics, social justice, basic rights and environmental protection.
12 Students use their good command of second foreign language.
13 Students conduct a scientific study in the field of international relations both individually and as a part of a group.
14 Students use their presentation skills on the basis of their theoretical knowledge of international issues.
15 Students use their theoretical applied knowledge of administrative sciences, protocol, public ethics and legislation.
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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 3 42
Sınıf dışı ders çalışma süresi (ön çalışma, pekiştirme) 10 2 20
Ödevler 5 2 10
Sunum / Seminer hazırlama 0 0 0
Kısa sınavlar 0 0 0
Ara sınavlara hazırlık 1 8 8
Ara sınavlar 1 2 2
Proje (Yarıyıl ödevi) 0 0 0
Laboratuvar 0 0 0
Arazi çalışması 0 0 0
Yarıyıl sonu sınavına hazırlık 1 8 8
Yarıyıl sonu sınavı 1 2 2
Araştırma 0 0 0
Toplam iş yükü     92
AKTS     4.00

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

Önerilen Veya Zorunlu Okuma Materyalleri
Ders kitabı UYGULAMALI TEMEL MATEMATİK 2 Prof. Dr. Osman Unutulmaz Detay Yayıncılık
Yardımcı Kaynaklar Lecture Notes

Ders İle İlgili Dosyalar