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BM Sürdürülebilir Kalkınma Amaçları
Duyurular & Dokümanlar
MAT1072 Mathematics 2 (27.05.2025)
Ders Notu
27.05.2025
MAT1072 Mathematics 2 (26.05.2025)
Ders Notu
26.05.2025
MAT1072 Mathematics 2 (20.05.2025)
Ders Notu
20.05.2025
MAT1072 Mathematics 2 (13.05.2025)
Ders Notu
13.05.2025
MAT1072 Mathematics 2 (12.05.2025)
Ders Notu
12.05.2025
MAT1072 Mathematics 2 (06.05.2025)
Ders Notu
6.05.2025
MAT1072 Mathematics 2 (05.05.2025)
Ders Notu
5.05.2025
MAT1072 Mathematics 2 (29.04.2025)
Ders Notu
29.04.2025
MAT1072 Mathematics 2 (28.04.2025)
Ders Notu
28.04.2025
MAT1072 Mathematics 2 / 2nd Midterm Subjects
Duyuru
24.04.2025
The subjects for which you will be accountable on the second midterm examination are until the end of line integrals in week 10, and they are as follows:
| Week | Subjects | Related Preparation |
|---|---|---|
| 1 | Functions of Several Variables: Functions of Two and Three Variables: Domain and Range, Graphs, Level Curves and Level Surfaces, Limits and Continuity in Functions of Two Variables (Two-Way Test for the Absence of Limit, Continuity of Composite Functions), | Textbook 1 (Chapter 14) |
| 2 | A Brief Look at Quadratic Surfaces (plane, sphere, ellipsoid, elliptic paraboloid, cylinder, cone), Functions of More Than Two Variables. Partial Derivatives: Partial Derivatives of Functions of Two and Three Variables, Partial Derivatives and Continuity, Equality of Second Order Partial Derivatives and Mixed Derivatives, Higher Order Partial Derivatives, Differentiability, | Textbook 1 (Chapter 14) |
| 3 | Chain Rule for Functions of Two and Three Variables [For Functions with One and Two Independent Variables], Implicit Derivative , Directional Derivatives and Gradient Vector: Definition and Calculation of Directional Derivative in the Plane, Gradient Vector, Tangents to Level Curves and Gradients, Directional Derivative in Space,. | Textbook 1 (Chapter 14) |
| 4 | Tangent Planes and Differentials: Tangent Plane and Normal Line to a Surface. Linearization a Function of Two Variables, Differentials, Extreme Values: Local Extreme Values, Necessary Conditions for Local Extreme Values, Critical and Saddle Points, Second Derivative Test for Local Extreme Values. | Textbook 1 (Chapter 14) |
| 5 | Multiple Integrals: Double Integrals over Rectangles, Double Integrals by Volume, Evaluation of Double Integrals: Fubini's Theorem (First Form), Double Integrals over General Regions, | Textbook 1 (Chapter 15) |
| 6 | Double Integrals over Non-rectangular Bounded Regions, Volumes (volume between two surfaces), Fubini's Theorem (More Comprehensive Figure) Finding the Limits of Integration, Using Orthogonal Sections, Using Horizontal Sections, Properties of Double Integrals, Calculating Area in Double Integrals,. | Textbook 1 (Chapter 15) |
| 7 | Mean Value Theorem. Double Integrals in Polar Form: Finding the limits of integration, Converting Cartesian Integrals to Polar Integrals, Area and volume calculations using polar coordinates (volume between two surfaces), | Textbook 1 (Chapter 15) |
| 8 | Midterm 1 | |
| 9 | Change of Variables in Double Integrals. Vector Valued Functions in Space: Definition, Limit and Continuity of Vector Valued Functions, Derivatives (Velocity and Acceleration Vectors), Arc Length Along a Space Curve, Vector Fields. | Textbook 1 (Chapter 15,13) |
| 10 | Line Integrals: Line Integral of Vector Fields, Line Integral with Respect to Coordinates. | Textbook 1 (Chapter 16,10) |
MAT1072 Mathematics 2 (22.04.2025)
Ders Notu
22.04.2025
MAT1072 Mathematics 2 (21.04.2025)
Ders Notu
21.04.2025
MAT1072 Mathematics 2 (15.04.2025)
Ders Notu
15.04.2025
MAT1072 Mathematics 2 (14.04.2025)
Ders Notu
14.04.2025
Postponement of MAT1072 Mathematics 2 midterm date
Duyuru
27.03.2025
Dear students,
The first midterm exam of the MAT1072 Mathematics 2 course, initially scheduled for Saturday, April 5, 2025, at 10:00 a.m., has been postponed to Saturday, April 19, 2025, at 6:00 p.m. due to the holiday.
MAT1072 Mathematics 2 (25.03.2025)
Ders Notu
25.03.2025
MAT1072 Mathematics 2 (24.03.2025)
Ders Notu
24.03.2025
MAT1072 Mathematics 2 (18.03.2025)
Ders Notu
18.03.2025
MAT1072 Mathematics 2 (17.03.2025)
Ders Notu
17.03.2025
MAT1072 Mathematics 2 / 1st Midterm Subjects
Duyuru
16.03.2025
| Week | Subjects | Related Preparation |
|---|---|---|
| 1 | Functions of Several Variables: Functions of Two and Three Variables: Domain and Range, Graphs, Level Curves and Level Surfaces, Limits and Continuity in Functions of Two Variables (Two-Way Test for the Absence of Limit, Continuity of Composite Functions), | Textbook 1 (Chapter 14) |
| 2 | A Brief Look at Quadratic Surfaces (plane, sphere, ellipsoid, elliptic paraboloid, cylinder, cone), Functions of More Than Two Variables. Partial Derivatives: Partial Derivatives of Functions of Two and Three Variables, Partial Derivatives and Continuity, Equality of Second Order Partial Derivatives and Mixed Derivatives, Higher Order Partial Derivatives, Differentiability, | Textbook 1 (Chapter 14) |
| 3 | Chain Rule for Functions of Two and Three Variables [For Functions with One and Two Independent Variables], Implicit Derivative , Directional Derivatives and Gradient Vector: Definition and Calculation of Directional Derivative in the Plane, Gradient Vector, Tangents to Level Curves and Gradients, Directional Derivative in Space,. | Textbook 1 (Chapter 14) |
| 4 | Tangent Planes and Differentials: Tangent Plane and Normal Line to a Surface. Linearization a Function of Two Variables, Differentials, Extreme Values: Local Extreme Values, Necessary Conditions for Local Extreme Values, Critical and Saddle Points, Second Derivative Test for Local Extreme Values. | Textbook 1 (Chapter 14) |
| 5 | Multiple Integrals: Double Integrals over Rectangles, Double Integrals by Volume, Evaluation of Double Integrals: Fubini's Theorem (First Form), Double Integrals over General Regions, | Textbook 1 (Chapter 15) |
| 6 | Double Integrals over Non-rectangular Bounded Regions, Volumes (volume between two surfaces), Fubini's Theorem (More Comprehensive Figure) Finding the Limits of Integration, Using Orthogonal Sections, Using Horizontal Sections, Properties of Double Integrals, Calculating Area in Double Integrals,. | Textbook 1 (Chapter 15) |
MAT1072 Mathematics 2 (11.03.2025)
Ders Notu
11.03.2025
MAT1072 Mathematics 2 (10.03.2025)
Ders Notu
10.03.2025
MAT1072 Mathematics 2 (04.03.2025)
Ders Notu
4.03.2025
MAT1072 Mathematics 2 (03.03.2025)
Ders Notu
3.03.2025
MAT1072 Mathematics 2 (25.02.2025)
Ders Notu
25.02.2025
MAT1072 Mathematics 2 (24.02.2025)
Ders Notu
24.02.2025
MAT1072 Mathematics 2 / Weekly Subjects
Duyuru
19.02.2025
| Week | Subjects | Related Preparation |
|---|---|---|
| 1 | Functions of Several Variables: Functions of Two and Three Variables: Domain and Range, Graphs, Level Curves and Level Surfaces, Limits and Continuity in Functions of Two Variables (Two-Way Test for the Absence of Limit, Continuity of Composite Functions), | Textbook 1 (Chapter 14) |
| 2 | A Brief Look at Quadratic Surfaces (plane, sphere, ellipsoid, elliptic paraboloid, cylinder, cone), Functions of More Than Two Variables. Partial Derivatives: Partial Derivatives of Functions of Two and Three Variables, Partial Derivatives and Continuity, Equality of Second Order Partial Derivatives and Mixed Derivatives, Higher Order Partial Derivatives, Differentiability, | Textbook 1 (Chapter 14) |
| 3 | Chain Rule for Functions of Two and Three Variables [For Functions with One and Two Independent Variables], Implicit Derivative , Directional Derivatives and Gradient Vector: Definition and Calculation of Directional Derivative in the Plane, Gradient Vector, Tangents to Level Curves and Gradients, Directional Derivative in Space,. | Textbook 1 (Chapter 14) |
| 4 | Tangent Planes and Differentials: Tangent Plane and Normal Line to a Surface. Linearization a Function of Two Variables, Differentials, Extreme Values: Local Extreme Values, Necessary Conditions for Local Extreme Values, Critical and Saddle Points, Second Derivative Test for Local Extreme Values. | Textbook 1 (Chapter 14) |
| 5 | Multiple Integrals: Double Integrals over Rectangles, Double Integrals by Volume, Evaluation of Double Integrals: Fubini's Theorem (First Form), Double Integrals over General Regions, | Textbook 1 (Chapter 15) |
| 6 | Double Integrals over Non-rectangular Bounded Regions, Volumes (volume between two surfaces), Fubini's Theorem (More Comprehensive Figure) Finding the Limits of Integration, Using Orthogonal Sections, Using Horizontal Sections, Properties of Double Integrals, Calculating Area in Double Integrals,. | Textbook 1 (Chapter 15) |
| 7 | Mean Value Theorem. Double Integrals in Polar Form: Finding the limits of integration, Converting Cartesian Integrals to Polar Integrals, Area and volume calculations using polar coordinates (volume between two surfaces), | Textbook 1 (Chapter 15) |
| 8 | Midterm 1 | |
| 9 | Change of Variables in Double Integrals. Vector Valued Functions in Space: Definition, Limit and Continuity of Vector Valued Functions, Derivatives (Velocity and Acceleration Vectors), Arc Length Along a Space Curve, Vector Fields. | Textbook 1 (Chapter 15,13) |
| 10 | Line Integrals: Line Integral of Vector Fields, Line Integral with Respect to Coordinates. Infinite Sequences: Convergence and Divergence of Sequences (definitions), Calculation of Limits of Sequences, Squeeze Theorem for Sequences, Continuous Function Theorem on Sequences, | Textbook 1 (Chapter 16,10) |
| 11 | Frequently Encountered Limits, Successively Defined Sequences, Bounded Monotone Sequences, Monotone Sequence Theorem. Infinite Series: Geometric Series, n. Term Test for Divergent Series, Combining Series, Adding or Deleting Term, Convergence Tests for Series with Positive Terms: Integral Test, p Series, | Textbook 1 (Chapter 10) |
| 12 | Quiz; Harmonic Series, Comparison Test, Limit Comparison Test. Ratio and Root Tests. Alternating Series, Alternating Series Test,. | Textbook 1 (Chapter 10) |
| 13 | Absolute and Conditional Convergence. Power Series: Radius of Convergence of a Power Series, Derivative and Integral of Power Series, Taylor and Maclaurin Series: Maclaurin and Taylor Polynomials, Maclaurin and Taylor Series, | Textbook 1 (Chapter 10) |
| 14 | Applications of Taylor Series: Approximation, Limit, Non-Elementary Integrals. | Textbook 1 (Chapter 10) |
| 15 | General Applications | Textbook 1 |
| 16 | Final |
MAT1072 Mathematics 2 (17.02.2025)
Ders Notu
17.02.2025
Dosya İndir
Eğitim Bilgileri
2020 - 2024
2020 - 2024Doktora
Yıldız Teknik Üniversitesi, Fen Bilimleri Enstitüsü, Matematik, Türkiye
2019 - 2023
2019 - 2023Lisans
Anadolu Üniversitesi, İşletme Fakültesi, İşletme Bölümü, Türkiye
2017 - 2020
2017 - 2020Yüksek Lisans
Yıldız Teknik Üniversitesi, Fen Bilimleri Enstitüsü, Matematik, Türkiye
2014 - 2017
2014 - 2017Lisans
Yıldız Teknik Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Türkiye
Yaptığı Tezler
2024
2024Doktora
Dinamik Yapıda Yeni Bir Genetik Algoritma Önerisi: Seçilim Operatörü Kararcı Genetik Algoritma (SOKGA) ve Asimetrik Kapasiteli Araç Rotalama Problemi Üzerine Bir Uygulama
Yıldız Teknik Üniversitesi, Fen Bilimleri Enstitüsü, Matematik
2020
2020Yüksek Lisans
Aralık Yapıdaki Tip 2 Bulanık Kümelere Dayanan Bazı Çok Kriterli Karar Verme Yaklaşımları ve Uygulamaları
Yıldız Teknik Üniversitesi, Fen Bilimleri Enstitüsü, Matematik
Yabancı Diller
B2 Orta Üstü
B2 Orta Üstüİngilizce
Sertifika, Kurs ve Eğitimler
2018
2018Pedagojik Formasyon Eğitimi
Eğitim Yönetimi ve Planlama
YILDIZ TEKNİK ÜNİVERSİTESİ/Eğitim Fakültesi
Araştırma Alanları
İşletme
Sayısal Yöntemler
Sayısal Algoritmalar
Evrimsel Hesaplama
Endüstri Mühendisliği
Çok Kriterli Karar Verme
Matematik
Bilgisayar Bilimleri
Optimizasyon
Temel Bilimler
Akademik Unvanlar / Görevler
2024 - Devam Ediyor
2024 - Devam EdiyorDr. Öğr. Üyesi
Yıldız Teknik Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü
2024 - 2024
2024 - 2024Araştırma Görevlisi Dr.
Yıldız Teknik Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü
2018 - 2024
2018 - 2024Araştırma Görevlisi
Yıldız Teknik Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü
SCI, SSCI ve AHCI İndekslerine Giren Dergilerde Yayınlanan Makaleler
2025
2025Integration of Type-2 fuzzy TOPSIS and Quality Function Deployment to address patient satisfaction in healthcare
Meniz B., Usun S., Akın Baş S., Yafez E., Özkök B.
Applied Soft Computing
, cilt.177, 2025 (SCI-Expanded)
2025
2025Genetic Algorithm Optimization with Selection Operator Decider
Meniz B., Tiryaki F.
Arabian Journal for Science and Engineering
, cilt.50, sa.10, ss.6931-6941, 2025 (SCI-Expanded)
2024
2024Passenger satisfaction assessment in the aviation industry using Type-2 fuzzy TOPSIS
Usun S., Akın Baş S., Meniz B., Özkök B.
Journal of Air Transport Management
, cilt.119, 2024 (SSCI)
2023
2023Vaccine selection for COVID-19 by AHP and novel VIKOR hybrid approach with interval type-2 fuzzy sets.
Meniz B., Özkan E. M.
Engineering applications of artificial intelligence
, cilt.119, ss.105812, 2023 (SCI-Expanded)
2022
2022A Note on Fuzzy Cosine Function
Meniz B.
INTERNATIONAL JOURNAL OF FUZZY SYSTEMS
, cilt.24, sa.1, ss.216-217, 2022 (SCI-Expanded)
2021
2021An advanced TOPSIS method with new fuzzy metric based on interval type-2 fuzzy sets
MENİZ B.
Expert Systems with Applications
, cilt.186, 2021 (SCI-Expanded)
2021
2021Multilevel AHP approach with interval type-2 fuzzy sets to portfolio selection problem
Meniz B., Bas S. A., Ozkok B. A., Tiryaki F.
Journal of Intelligent and Fuzzy Systems
, cilt.40, sa.5, ss.8819-8829, 2021 (SCI-Expanded)
Diğer Dergilerde Yayınlanan Makaleler
2024
2024Genetic algorithm approach to asymmetric capacitated vehicle routing: A case study on bread distribution in Istanbul, Türkiye
Meniz B., Tiryaki F.
DECISION SCIENCE LETTERS , cilt.13, sa.3, ss.605-616, 2024 (ESCI)
Hakemli Bilimsel Toplantılarda Yayımlanmış Bildiriler
2024
2024Comparative Analysis of Interpolation Methods
Altun D., Meniz B.
International Conference on Mathematics and Mathematics Education (ICMME-2024), Nevşehir, Türkiye, 3 - 05 Ekim 2024, ss.103-104, (Özet Bildiri)
2024
2024Evaluating the Video Communication Platforms with Fuzzy Linguistic based Mathematical Analysis
Meniz B., Altun D.
International Conference on Mathematics and Mathematics Education (ICMME-2024), Nevşehir, Türkiye, 3 - 05 Ekim 2024, ss.223-224
2023
2023Havalimanı Hizmet Memnuniyetinin Makine Öğrenmesi Teknikleri Kullanılarak Değerlendirilmesi
Öztürk Uşun S., Özkök B., Akın Baş S., Meniz B.
42. Yöneylem Araştırması ve Endüstri Mühendisliği Ulusal Kongresi, Gaziantep, Türkiye, 1 - 03 Kasım 2023, ss.101, (Özet Bildiri)
2023
2023Havayolu Endüstrisinde Yolcu Memnuniyetinin Bulanık Çok Kriterli Karar Verme Teknikleri Kullanılarak Değerlendirilmesi
Özkök B., Öztürk Uşun S., Meniz B., Akın Baş S.
42. Yöneylem Araştırması ve Endüstri Mühendisliği Ulusal Kongresi, Gaziantep, Türkiye, 1 - 03 Kasım 2023, ss.102, (Özet Bildiri)
2023
2023Lineer Kesirli Programlama İle Perakende Sektöründe Çevre Dostu Araç Rotalama Uygulaması
Akın Baş S., Özkök B., Meniz B., Öztürk Uşun S.
42. Yöneylem Araştırması ve Endüstri Mühendisliği Ulusal Kongresi, Gaziantep, Türkiye, 1 - 03 Kasım 2023, ss.124, (Özet Bildiri)
2023
2023Genetik Algoritmada Yeni Bir Seçilim Yaklaşımı Ve Kapasiteli Araç Rotalama Problemi Örneklemesi
Meniz B., Tiryaki F.
42. Yöneylem Araştırması ve Endüstri Mühendisliği Ulusal Kongresi, Gaziantep, Türkiye, 1 - 03 Kasım 2023, ss.96, (Özet Bildiri)
2020
2020Mobile app evaluation application with AHP method based on interval type-2 fuzzy sets
Meniz B., Tiryaki F.
5th International Conference on Analysis and Applied Mathematics, ICAAM 2020, Mersin, Türkiye, 23 - 30 Eylül 2020, cilt.2325
2020
2020Interval type-2 fuzzy AHP method with multilevel hierarchical structure: An Application on car selection
Meniz B., Tiryaki F.
3. Uluslararası İstatistik Matematik ve Analitik Yöntemler Kongresi, İstanbul, Türkiye, 12 - 13 Mart 2020, ss.54, (Özet Bildiri)
2020
2020A risk assessment application comparison with interval type-2 fuzzy TOPSIS method
Meniz B., Tiryaki F.
3. Uluslararası İstatistik Matematik ve Analitik Yöntemler Kongresi, İstanbul, Türkiye, 12 - 13 Mart 2020, ss.53, (Özet Bildiri)
Desteklenen Projeler
2023 - 2024
2023 - 2024
Dinamik Yapıda Yeni Bir Genetik Algoritma Önerisi: Seçilim Operatörü Kararcı Genetik Algoritma (SOKGA) ve Asimetrik Kapasiteli Araç Rotalama Problemi Üzerine Bir Uygulama
Yükseköğretim Kurumları Destekli Proje
(Proje Özeti)
TİRYAKİ F. (Yürütücü), MENİZ B.
Bilimsel Yayınlarda Hakemlikler
Ekim 2024
Ekim 2024INTERNATIONAL JOURNAL OF FUZZY SYSTEM APPLICATIONS
Diğer İndekslerce Taranan Dergi
Eylül 2024
Eylül 2024IEEE ACCESS
SCI-E Kapsamındaki Dergi
Ağustos 2024
Ağustos 2024HELIYON
SCI-E Kapsamındaki Dergi
Ağustos 2024
Ağustos 2024IEEE ACCESS
SCI-E Kapsamındaki Dergi
Temmuz 2024
Temmuz 2024INTERNATIONAL JOURNAL OF FUZZY SYSTEM APPLICATIONS
Diğer İndekslerce Taranan Dergi
Ocak 2024
Ocak 2024INTERNATIONAL JOURNAL OF FUZZY SYSTEM APPLICATIONS
Diğer İndekslerce Taranan Dergi
Aralık 2023
Aralık 2023INFORMATION SCIENCES
SCI-E Kapsamındaki Dergi
Temmuz 2023
Temmuz 2023ANNALS OF OPERATIONS RESEARCH
SCI-E Kapsamındaki Dergi
Nisan 2023
Nisan 2023FUZZY SETS AND SYSTEMS
SCI-E Kapsamındaki Dergi
Aralık 2022
Aralık 2022JOURNAL OF INTELLIGENT AND FUZZY SYSTEMS
SCI-E Kapsamındaki Dergi
Aralık 2022
Aralık 2022INFORMATION SCIENCES
SCI-E Kapsamındaki Dergi
Ekim 2022
Ekim 2022JOURNAL OF INTELLIGENT AND FUZZY SYSTEMS
SCI-E Kapsamındaki Dergi
Ekim 2022
Ekim 2022JOURNAL OF INTELLIGENT AND FUZZY SYSTEMS
SCI-E Kapsamındaki Dergi
Mayıs 2022
Mayıs 2022International Journal of Fuzzy System Applications
Diğer İndekslerce Taranan Dergi
Mayıs 2022
Mayıs 2022JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
SCI-E Kapsamındaki Dergi
Nisan 2022
Nisan 2022International Journal of Fuzzy System Applications
Diğer İndekslerce Taranan Dergi
Haziran 2021
Haziran 2021JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
SCI-E Kapsamındaki Dergi
Mayıs 2021
Mayıs 2021