MATH 102 • Midterm I • Calculus
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Fatma Rana Yıldırım
Ekonomi
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.
Paketi Tamamla
🎓 Koç Üniversitesi öğrencilerinin %92'si tüm paketi alarak çalışıyor.
Konular
Chapter 8.1: Limits of Functions
Limits of Functions
Limits with Absolute Value
Limits Rules
Exam-like Questions 1
Exam-like Questions 2
Exam-like Questions 3
Exam-like Questions 4
Exam-like Questions 5
Exam like Question 6
Exam-like Questions 7
Exam-like Questions 8
Ch.8.2: Limits at Infinity and Infinite Limits
Limits at Infinity I
Limits at Infinity II
Infinite Limits
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Ch. 8.2: Asymptotes
Vertical and Horizontal Asymptotes
Exam like Question 1
Exam like Question 2
Ch.8.3: Continuity
Continuity
Exam like Question 1
Exam like Question 2
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Ch.8.3: Discontinuity
Discontinuity and Continuous Extension
Exam like Question 1
Exam like Question 2
Exam like Question 3
Ch.8.4: The Derivative
Rate of Change: Derivative at a Point
Derivative as a Function
Differentiable or not ?
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Ch.8.5-9.2-9.3: Differentiation Rules
Power Rule
Derivatives of Exponential and Logarithms
Product Rule
Quotient Rule
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam like Question 10
Exam like Question 11
Exam like Question 12
Ch.8.5: Tangent Line Equations
Equation of a Tangent Line
Horizontal and Vertical Tangent
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Ch.9.4: The Chain Rule
Chain Rule I
Chain Rule II
Exam like Question 1
Exam-like Question 2
Exam-like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Ch.9.5: Implicit Differentiation
Implicit Differentiation I
Implicit Differentiation II
Tangent Line of Implicit Functions
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Ch.8.7: Marginal Analysis (Economics and Derivative)
Revenue, Cost, Profit and Price Demand Function
Marginal Analysis in Economics
Exam like Question 1
Exam like Question 2
Ch.9.7: Elasticity of Demand
Elasticity of Demand
Spring 2025 Exam Problem
Ch.10.1: First Derivative and Graphs
Local Extremas & First Derivative Test
Exam like Question 1
Exam like Question 2
Ch.10.2: Second Derivative And Graphs
Second Derivative, Concavity and Inflections
Exam like Question 1
Exam like Question 2
Exam like Question 3
Ch.10.4: Curve Sketching Techniques
Curve Sketching 1
Curve Sketching 2
Curve Sketching 3
Ch.10.5: Absolute Maxima and Minima
Absolute Extrema on a Closed Interval
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Ch. 10.6: Optimization
Optimization 1
Optimization 2
Optimization 3
Sample Midterm 1 Questions 1
Spring 2022 Exam: Limit with Absolute Value
Spring 2024 Exam: Limit with Absolute Value
Fall 2022 Exam: Limit without L'Hopital's Rule
Spring 2024 Exam: Limit without L'Hopital's Rule
Fall 2024 Exam: Limit without L'Hopital's Rule
Fall 2023 Exam: Limit (Infinity, Absolute Value)
Spring 2022 Exam: Limits at Infinity
Spring 2024 Exam: Limit at Infinity
Spring 2022 Exam: Infinite Limits
Fall 2024 Exam: Limits at Infinity
Fall 2022 Exam: Infinite Limits
Fall 2022 Exam: Continuity
Fall 2021 Exam: Continuity
Spring 2024 Exam: Continuity
Fall 2022 Exam: Asymptotes
Spring 2022 Exam: Discontinuity & Asymptotes
Fall 2023 Exam: Discontinuity and Asymptotes
Spring 2024 Exam: Differentiation Rules
Spring 2024 Exam: Differentiation Rules
Fall 2024 Exam: Differentiation Rules
Spring 2024 Exam: Limit Definition of Derivative
Fall 2024 Exam: Limit Definition of Derivative
Sample Midterm 1 Questions 2
Limits without L'Hopital's Rule (Infinity, Absolute Value)
Asymptotes (Vertical, Horizontal)
Equation of a Tangent Line & Differentiation Rules
Derivative & Economics (Marginal Cost, Revenue)
Sample Midterm 1 Questions 3
Absolute Maximum and Minimum
Absolute Maximum and Minimum
Absolute Maximum and Minimum
First Derivative, Local Extremas
Relative (Local) Extremas
Relative and Absolute Extremas
Second Derivative and Concavity
Second Derivative and Concavity
Curve Sketching Techniques
Curve Sketching Techniques
Curve Sketching Techniques
Curve Sketching Techniques
Curve Sketching Techniques
Optimization Problem
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization: Economics Applications
Optimization: Economics Applications
Bonus: Absolute Maxima - Economics Applications
Bonus Part: Her şeyi çözdüm, ek soru yok mu?
Limit of Functions
Limit (Mixed) Problems
Limit (Mixed) Problems
Limits at Infinity and Infinite Limits
Asymptotes
Asymptotes
Continuity and Discontinuity
Continuity and Discontinuity
Continuity and Discontinuity
Differentiation Rules
Differentiation Rules
Equation of a Tangent Line
Equation of Tangent Line
Equation of a Tangent Line
Chain Rule
Chain Rule
Chain Rule & Tangent Line
Implicit Differentiation
Implicit Differentiation & Tangent Line
Implicit Differentiation
Değerlendirmeler
anlatım gayet güzel sadece son gün konu eklenmesi pek hoş olmadı
Sıkça Sorulan Sorular
Örneğin, Koç Üniversitesi - MATH 101 (Calculus) veya başka bir okulun benzer dersi olsun, paketlerimiz tam da o derse göre tasarlanır. Böylece nokta atışı çalışır, zaman kazanırsın.
Sınava özel videolar —konu anlatımları, çıkmış sorular ve çözümleri, özet notlar—içerir. Sınavda sıkça çıkan soruları hedefler. Eğitmenlerimiz, üniversitenin akademik takvimini takip ederek paketleri sürekli günceller. Böylece, gereksiz detaylarla vakit kaybetmeden başarını artırmaya odaklanabilirsin.
Ders İçeriği
Chapter 8.1: Limits of Functions
Limits of Functions
Limits with Absolute Value
Limits Rules
Exam-like Questions 1
Exam-like Questions 2
Exam-like Questions 3
Exam-like Questions 4
Exam-like Questions 5
Exam like Question 6
Exam-like Questions 7
Exam-like Questions 8
Ch.8.2: Limits at Infinity and Infinite Limits
Limits at Infinity I
Limits at Infinity II
Infinite Limits
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Ch. 8.2: Asymptotes
Vertical and Horizontal Asymptotes
Exam like Question 1
Exam like Question 2
Ch.8.3: Continuity
Continuity
Exam like Question 1
Exam like Question 2
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Ch.8.3: Discontinuity
Discontinuity and Continuous Extension
Exam like Question 1
Exam like Question 2
Exam like Question 3
Ch.8.4: The Derivative
Rate of Change: Derivative at a Point
Derivative as a Function
Differentiable or not ?
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Ch.8.5-9.2-9.3: Differentiation Rules
Power Rule
Derivatives of Exponential and Logarithms
Product Rule
Quotient Rule
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam like Question 10
Exam like Question 11
Exam like Question 12
Ch.8.5: Tangent Line Equations
Equation of a Tangent Line
Horizontal and Vertical Tangent
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Ch.9.4: The Chain Rule
Chain Rule I
Chain Rule II
Exam like Question 1
Exam-like Question 2
Exam-like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Ch.9.5: Implicit Differentiation
Implicit Differentiation I
Implicit Differentiation II
Tangent Line of Implicit Functions
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Ch.8.7: Marginal Analysis (Economics and Derivative)
Revenue, Cost, Profit and Price Demand Function
Marginal Analysis in Economics
Exam like Question 1
Exam like Question 2
Ch.9.7: Elasticity of Demand
Elasticity of Demand
Spring 2025 Exam Problem
Ch.10.1: First Derivative and Graphs
Local Extremas & First Derivative Test
Exam like Question 1
Exam like Question 2
Ch.10.2: Second Derivative And Graphs
Second Derivative, Concavity and Inflections
Exam like Question 1
Exam like Question 2
Exam like Question 3
Ch.10.4: Curve Sketching Techniques
Curve Sketching 1
Curve Sketching 2
Curve Sketching 3
Ch.10.5: Absolute Maxima and Minima
Absolute Extrema on a Closed Interval
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Ch. 10.6: Optimization
Optimization 1
Optimization 2
Optimization 3
Sample Midterm 1 Questions 1
Spring 2022 Exam: Limit with Absolute Value
Spring 2024 Exam: Limit with Absolute Value
Fall 2022 Exam: Limit without L'Hopital's Rule
Spring 2024 Exam: Limit without L'Hopital's Rule
Fall 2024 Exam: Limit without L'Hopital's Rule
Fall 2023 Exam: Limit (Infinity, Absolute Value)
Spring 2022 Exam: Limits at Infinity
Spring 2024 Exam: Limit at Infinity
Spring 2022 Exam: Infinite Limits
Fall 2024 Exam: Limits at Infinity
Fall 2022 Exam: Infinite Limits
Fall 2022 Exam: Continuity
Fall 2021 Exam: Continuity
Spring 2024 Exam: Continuity
Fall 2022 Exam: Asymptotes
Spring 2022 Exam: Discontinuity & Asymptotes
Fall 2023 Exam: Discontinuity and Asymptotes
Spring 2024 Exam: Differentiation Rules
Spring 2024 Exam: Differentiation Rules
Fall 2024 Exam: Differentiation Rules
Spring 2024 Exam: Limit Definition of Derivative
Fall 2024 Exam: Limit Definition of Derivative
Sample Midterm 1 Questions 2
Limits without L'Hopital's Rule (Infinity, Absolute Value)
Asymptotes (Vertical, Horizontal)
Equation of a Tangent Line & Differentiation Rules
Derivative & Economics (Marginal Cost, Revenue)
Sample Midterm 1 Questions 3
Absolute Maximum and Minimum
Absolute Maximum and Minimum
Absolute Maximum and Minimum
First Derivative, Local Extremas
Relative (Local) Extremas
Relative and Absolute Extremas
Second Derivative and Concavity
Second Derivative and Concavity
Curve Sketching Techniques
Curve Sketching Techniques
Curve Sketching Techniques
Curve Sketching Techniques
Curve Sketching Techniques
Optimization Problem
Optimization Problems
Optimization Problems
Optimization Problems
Optimization Problems
Optimization: Economics Applications
Optimization: Economics Applications
Bonus: Absolute Maxima - Economics Applications
Bonus Part: Her şeyi çözdüm, ek soru yok mu?
Limit of Functions
Limit (Mixed) Problems
Limit (Mixed) Problems
Limits at Infinity and Infinite Limits
Asymptotes
Asymptotes
Continuity and Discontinuity
Continuity and Discontinuity
Continuity and Discontinuity
Differentiation Rules
Differentiation Rules
Equation of a Tangent Line
Equation of Tangent Line
Equation of a Tangent Line
Chain Rule
Chain Rule
Chain Rule & Tangent Line
Implicit Differentiation
Implicit Differentiation & Tangent Line
Implicit Differentiation