MATH 1131MidtermCalculus I

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Dorukhan Özcan

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

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

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.

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Konular

Ders Tanıtımı

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)

Ücretsiz

Graph of Functions I

Ücretsiz

Graph of Functions II

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Graph of Exponential Functions

Graph of Logarithmic Functions

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Ücretsiz

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Limits of Functions

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Limits with Absolute Value

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Limits Rules

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The Squeeze (Sandwich) Theorem

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Ücretsiz

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Limits at Infinity I

Limits at Infinity II

Limits at Infinity III

Infinite Limits

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Vertical and Horizontal Asymptotes

Oblique Asymptotes

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Limit of Trigonometric Functions I

Limit of Trigonometric Functions II

Limit of Trigonometric Functions III

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Continuity

Discontinuity and Continuous Extension

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Intermediate Value Theorem I

Intermediate Value Theorem II

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Rate of Change: Derivative at a Point

Ücretsiz

Derivative as a Function I

Derivative as a Function II

"Hidden" Derivative

Ücretsiz

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Differentiability (with Limit Definition)

Differentiability (without using Limit Definition)

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Power Rule

Derivatives of Exponentials

Product Rule

Quotient Rule

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Higher Order Derivative

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Derivatives of Trigonometric Functions

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Chain Rule I

Chain Rule II

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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 I

Implicit Differentiation II

Tangent Lines & Implicit Functions

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Parametric Equations 1

Parametric Equations 2

Parametric Equations 3

Calculus with Parametric Equations

Domain of a Functions

Ücretsiz

Graphing Operations (Shifting, Scaling)

Ücretsiz

Limits of Functions

The Squeeze Theorem

Differentiability at a Point

Differentiation Rules

Tangent Line Equations

Parametric Differentiation

Domain and Graph of Functions

Derivative of Functions

Limits of Functions

Tangent Lines & Implicit Differentiation

Domain of Functions

Graphing Operations (Shifting, Scaling)

Graphing Operations (Shifting, Scaling)

Graphing Operations (Translations and Reflections)

Limit of Functions

Limits of Functions

Limit of Functions

Limit of Functions

Limit of Functions

Limit of Functions

Limits of Trigonometric Functions

Limits at Infinity

The Squeeze Theorem

Limit Definition of Derivative

The Limit Definition of Derivative

The Limit Definition of Derivative

Differentiation Rules

Differentiation Rules

Differentiation Rules

Differentiation Rules

Implicit Differentiation

Implicit Differentiation

Implicit Differentiation

Implicit Differentiation

Implicit Differentiation

Tangent Line to Implicit Function

Tangent Line to Implicit Functions

Tangent Line to Implicit Functions

Parametric Curves & Tangent Lines

Parametric Curves & Tangent Lines

Parametric Curves & Tangent Lines

Değerlendirmeler

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