MATH 101 • Midterm I • Calculus I
“çok faydalı ve Boğaziçi sınavlarına yönelik”
Azra Işık
Kimya
Üniversitedeki en temel Matematik dersi olan Math 101 dersi artık düşündüğün kadar zor değil! Dersimizde önce özet konu anlatımları ve ders kitabındaki soruların çözümleriyle öğrenecek, sonrasında son yılların çıkmış sınav sorularıyla antreman yapabileceksin.
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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.
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Konular
Limits of Functions
3 konu anlatımı · 10 soru
Limits of Functions
Limits with Absolute Value
Limits Rules
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The Formal Definition of Limit (Epsilon-Delta)
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Formal Definition of Limit
The Squeeze (Sandwich) Theorem
1 konu anlatımı · 5 soru
The Squeeze (Sandwich) Theorem
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Limits at Infinity and Infinite Limits
4 konu anlatımı · 9 soru
Limits at Infinity I
Limits at Infinity II
Limits at Infinity III
Infinite Limits
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Limits of Trigonometric Functions
3 konu anlatımı · 8 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
1 konu anlatımı · 3 soru
Higher Order Derivative
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Derivative of Trigonometric Functions
1 konu anlatımı · 5 soru
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 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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The Mean Value Theorem
4 konu anlatımı · 12 soru
Mean Value Theorem I
Mean Value Theorem II
Mean Value Theorem III
Mean Value Theorem IV
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Linear Approximation (Linearization)
1 konu anlatımı · 5 soru
Linear Approximation
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Related Rates
3 konu anlatımı · 4 soru
Related Rates I
Related Rates II
Related Rates III
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Extreme Values and Critical Points
1 konu anlatımı · 5 soru
Critical Points, Absolute Maximum & Minimum
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Concavity and Inflections
2 konu anlatımı · 7 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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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
Indeterminate Forms (L'Hopital's Rule)
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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 ^ ∞)
(NEW) General Exam Review
11 soru
Increasing & Decreasing & Relative Extrema
Increasing & Decreasing & Relative Extrema
Absolute Extrema on a Closed Interval
Absolute Extrema On a Closed Interval
Extreme Values & Inflection Point
Curve Sketching
Curve Sketching
Optimization Problems
L'Hopital's Rule
L'Hôpital's Rule
L'Hopital's Rule
Değerlendirmeler
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Azra Işık
Kimya
çok faydalı ve Boğaziçi sınavlarına yönelik
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