MATH 141 • Midterm II • Basic Calculus I
IYTE derslerinden biri olarak kabul edilen Math 141 dersi artık düşündüğün kadar zor değil! Dersimizde önce özet konu anlatımları ve kitaptaki ödev sorularının çözümleriyle öğrenecek, sonrasında son yılların çıkmış sınav sorularıyla alıştırma yapabileceksin.
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.
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Konular
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
2 konu anlatımı · 15 soru
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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Derivative of Inverse Function
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Derivative of Inverse
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Derivative of Inverse Trigonometric Functions
2 konu anlatımı · 10 soru
Inverse Trigonometric Functions
Derivatives of Inverse Trigonometric Functions
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Implicit & Inverse Trigonometric Functions I
Implicit & Inverse Trigonometric Functions II
Implicit & Inverse Trigonometric Functions III
Logarithmic Differentiation
2 konu anlatımı · 7 soru
Logarithmic Differentiation I
Logarithmic Differentiation II
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Linear Approximation (Linearization)
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Linear Approximation
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Related Rates
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Related Rates I
Related Rates II
Related Rates III
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Extreme Values and Critical Points
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Absolute Maximum & Minimum
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The Mean Value Theorem
4 konu anlatımı · 7 soru
Mean Value Theorem I
Mean Value Theorem II
Mean Value Theorem III
Mean Value Theorem IV
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Derivative Tests & Concavity & Inflections
2 konu anlatımı · 4 soru
First Derivative Test & Extremum Values
Second Derivative & Concavity
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Curve Sketching
3 konu anlatımı · 3 soru
Curve Sketching I
Curve Sketching II
Curve Sketching III
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Indeterminate Forms (L'Hopital's Rule)
7 konu anlatımı
Indeterminate Form 1 (0/0)
Indeterminate Form 2 (∞/∞)
Indeterminate Form 3 (0 x ∞)
Indeterminate Form 4 (∞ - ∞)
Indeterminate Form 5 (0^0)
Indeterminate Form 6 (∞^0)
Indeterminate Form 7 (1 ^ ∞)
Optimization (Extreme Value) Problems
4 konu anlatımı · 13 soru
Optimization Problems I
Optimization Problems II
Optimization Problems III
Optimization Problems IV
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Challenging Problem
Antiderivative & Integration Rules
5 konu anlatımı · 5 soru
Integration Rules I
Integration Rules II
Integral of Trigonometric Functions I
Integral of Trigonometric Functions II
Integral of Exponential Functions
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(NEW) General Exam Review
28 soru
Implicit Differentiation
Implicit Differentiation & Tangent Line
Derivative of Inverse
Derivative of Inverse
Derivation of Inverse Trigonometric Functions
Implicit Differentiation & Derivation of Inverse Trigonometric Functions
Related Rate
Mean Value Theorem
Mean Value Theorem
Mean Value Theorem
Linearization
Linearization
Logarithmic Differentiation
Logarithmic Differentiation
Increasing & Decreasing & Relative Extrema
Increasing & Decreasing & Relative Extrema
Absolute Extrema on a Closed Interval
Absolute Extrema On a Closed Interval
Concavity & Inflection Point
Curve Sketching
Curve Sketching
Curve Sketching
Curve Sketching
Optimization Problems
Optimization Problem
L'Hopital's Rule
L'Hôpital's Rule
L'Hopital's Rule
Değerlendirmeler
3 öğrenci değerlendirmesi
Değerlendirme yapmak için bu derse sahip olman gerekiyor.
Eren Akal
İnşaat Mühendisliği
Dilem Şahin
Fotonik
Defne Güleç
Kimya
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