MATH 151 • Midterm I • Calculus I
“Hocaların konuşmaları gayet güzel ve diksiyonları da güzeldi ki anlamakta ben neredeyse hiçbir problem yaşamadım.”
Ömer Faruk Usul
Elektrik-Elektronik Mühendisliği
Eğitmenler
Dorukhan Özcan
Co-Founder & CEO
Unicourse şirketinin kurucu ortağıyım. 2016 senesinde Galatasaray Lisesinden mezun oldum. Geçtiğimiz dört sene içerisinde 2000 saatten fazla ders anlattım. Anlattığım dersler sırasıyla; Calculus, Çok değişkenli Calculus, Lineer Cebir, Differansiyel Denklemler, Uygulamalı İstatistik ve Stokastik Modelleme dersleridir. Doping Hafıza şirketinde 2017 - 2022 seneleri arasında CEO danışmanlığı yaptım. Koç Üniversitesi Endüstri Mühendisliği ve Ekonomi çift anadal programını tam burslu olarak, 3.96/4.00 not ortalamasıyla bitirdim. Kadıköy Modalıyım.
Tolga Temiz
Eğitmen
2016 senesinde başladığım Koç Üniversitesi Matematik bölümünden 2020 senesinde fakülte üçüncüsü olarak mezun oldum. Lisans ve yüksek lisans eğitimlerim boyunca çeşitli derslerde asistanlık yaptım. 2021'de Koç Üniversitesi'nde Matematik yüksek lisansına başladım ve 2023 yılında mezun oldum. Şimdi Michigan State Üniversitesi'nde doktora yapıyorum. Topoloji alanıyla ilgilenmekteyim.
Kerem Başol
Eğitmen
2019 senesinde Koç Üniversitesi Matematik bölümüne başladım. Geçtiğimiz senelerde Calculus ve Linear Algebra derslerinde Tutor ve Teaching Assistant pozisyonlarında görev aldım. Halen Koç Üniversitesi Matematik ve Bilgisayar Mühendisliği çift anadal programını 4.00/4.00 ortalamayla fakülte birincisi olarak sürdürüyorum. Trigonometrik fonksiyonların elips üzerinde nasıl tanımlanabileceğini merak etmemle başlayan Matematik tutkumu aktarmak için Unicourse Matematik Zümresine katıldım.
Konular
Functions (Domain-Composite-Inverse)
7 konu anlatımı
Domain of Functions
Domain of Exponential & Logarithms
Even and Odd Functions
The Vertical & Horizontal Line Tests
Composite Functions
Inverse of Functions
Inverse of Exponential & Logarithms
Graph of Functions (Shifting & Scaling)
6 konu anlatımı · 9 soru
Graph of Functions (Shifting & Scaling)
Graph of Functions I
Graph of Functions II
Graph of Functions III
Graph of Exponential Functions
Graph of Logarithmic Functions
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Limits of Functions
3 konu anlatımı · 10 soru
Limits of Functions
Limits with Absolute Value
Limits Rules
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The Squeeze (Sandwich) Theorem
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The Squeeze (Sandwich) Theorem
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Limits at Infinity and Infinite Limits
4 konu anlatımı · 8 soru
Limits at Infinity I
Limits at Infinity II
Limits at Infinity III
Infinite Limits
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Asymptotes
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Vertical and Horizontal Asymptotes
Oblique Asymptotes
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Limits of Trigonometric Functions
3 konu anlatımı · 6 soru
Limit of Trigonometric Functions I
Limit of Trigonometric Functions II
Limit of Trigonometric Functions III
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Continuity and Discontinuity
2 konu anlatımı · 10 soru
Continuity
Discontinuity and Continuous Extension
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Intermediate Value Theorem
2 konu anlatımı · 6 soru
Intermediate Value Theorem I
Intermediate Value Theorem II
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The Limit Definition of Derivatives
4 konu anlatımı · 8 soru
Rate of Change: Derivative at a Point
Derivative as a Function I
Derivative as a Function II
"Hidden" Derivative
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Differentiability
2 konu anlatımı · 9 soru
Differentiability (with Limit Definition)
Differentiability (without using Limit Definition)
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Differentiation Rules (Product, Quotient, Exponential)
4 konu anlatımı · 12 soru
Power Rule
Derivatives of Exponentials
Product Rule
Quotient Rule
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Higher Order Differentiation
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Higher Order Derivative
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Derivative of Trigonometric Functions
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Derivatives of Trigonometric Functions
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The Chain Rule
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Chain Rule I
Chain Rule II
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Tangent Line Equations
4 konu anlatımı · 13 soru
Equation of a Tangent Line I
Equation of a Tangent Line II
Horizontal and Vertical Tangent
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Challenging: Tangent Line Passes through a Point
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Implicit Differentiation
3 konu anlatımı · 9 soru
Implicit Differentiation I
Implicit Differentiation II
Tangent Lines & Implicit Functions
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The Mean Value Theorem
4 konu anlatımı · 11 soru
Mean Value Theorem I
Mean Value Theorem II
Mean Value Theorem III
Mean Value Theorem IV
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Increasing, Decreasing Functions and Derivative of Inverse Function
2 konu anlatımı · 4 soru
Increasing and Decreasing Functions
Derivative of Inverse
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Fall 2024 Exam
12 soru
Limit without L'Hopital's Rule
Limit with Absolute Value
Limit of Trigonometric Functions
Limit at Infinity
Intermediate Value Theorem
Continuity and Differentiability
Derivative of Inverse Function
Equation of a Tangent Line
Higher Order Differentiation
The Chain Rule
Implicit Differentiation
Mean Value Theorem
Spring 2022 Exam
10 soru
Limit without L'Hopital's Rule
Limit at Infinity
Infinite Limits
Limits of Trigonometric Functions
The Chain Rule
Logarithmic Differentiation
Continuity and Differentiability
Tangent Line and Implicit Differentiation
Mean Value Theorem
Derivative of Inverse
Değerlendirmeler
8 öğrenci değerlendirmesi
Değerlendirme yapmak için bu derse sahip olman gerekiyor.
Mehmet Efe Gürkaş
Bilgisayar Mühendisliği
soruları hızla ve anlaşılır şekilde çözdükleri için hocalarıma teşekkür ediyorum, sınava daha hızlı hazırlanmamı sağladılar.
Onur Ata Oral
Makine Mühendisliği
okuldaki derslere katılmamıştım bu sebeple satın aldım ve faydasını gördüm.
Ömer Faruk Usul
Elektrik-Elektronik Mühendisliği
Hocaların konuşmaları gayet güzel ve diksiyonları da güzeldi ki anlamakta ben neredeyse hiçbir problem yaşamadım.
Yusuf Berkay Dostbil
Elektrik-Elektronik Mühendisliği
Elif Gozutok
Makine Mühendisliği
Fahad Marwan Mousa Alabdı
Pilotaj
Doruk Saylam
Otomotiv Mühendisliği
Duygu Yıldız
Bilgisayar Mühendisliği
Paketi Tamamla
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