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.
Geçme Garantisi
Derslerimize güveniyoruz. Olur da sınavlarına bizimle hazırlandığın halde dersten kalırsan, iade alabilirsin. Koşullar
Konular
Functions (Domain-Composite-Inverse)
5 konu anlatımı
Domain of Functions
Even and Odd Functions
The Vertical & Horizontal Line Tests
Composite Functions
Inverse of Functions
Trigonometric Functions (Periodic Functions)
2 konu anlatımı
Periodic Functions
Inverse Trigonometric Functions
Exponential and Logarithmic Functions
4 konu anlatımı
Exponential Equations
Logarithmic Equations
Domain of Exponential & Logarithms
Inverse of Exponential & Logarithms
Graph of Functions (Shifting & Scaling)
8 konu anlatımı · 8 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
Graph of Trigonometric Functions 1
Graph of Trigonometric Functions 2
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
Limits of Functions
3 konu anlatımı · 10 soru
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 Question 5
Exam-like Question 6
Exam-like Questions 7
Exam-like Question 8
Exam-like Question 9
Exam-like Question 10
The Formal Definition of Limit (Epsilon-Delta)
1 konu anlatımı
Formal Definition of Limit
The Squeeze (Sandwich) Theorem
1 konu anlatımı · 5 soru
The Squeeze (Sandwich) Theorem
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Limits of Trigonometric Functions
3 konu anlatımı · 8 soru
Limit of Trigonometric Functions I
Limit of Trigonometric Functions II
Limit of Trigonometric Functions III
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
Continuity and Discontinuity
2 konu anlatımı · 10 soru
Continuity
Discontinuity and Continuous Extension
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
Intermediate Value Theorem
2 konu anlatımı · 6 soru
Intermediate Value Theorem I
Intermediate Value Theorem 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
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
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
Asymptotes
2 konu anlatımı · 4 soru
Vertical and Horizontal Asymptotes
Oblique Asymptotes
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
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
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
Differentiability
2 konu anlatımı · 9 soru
Differentiability (with Limit Definition)
Differentiability (without using Limit Definition)
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
Differentiation Rules (Product, Quotient, Exponential)
4 konu anlatımı · 12 soru
Power Rule
Derivatives of Exponentials
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
Higher Order Differentiation
1 konu anlatımı · 3 soru
Higher Order Derivative
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3-4-5
Derivative of Trigonometric Functions
1 konu anlatımı · 5 soru
Derivatives of Trigonometric Functions
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
The Chain Rule
2 konu anlatımı · 15 soru
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
Exam-like Question 7
Exam-like Question 8
Exam-like Question 9
Exam-like Question 10
Exam-like Question 11
Exam-like Question 12
Exam-like Question 13
Exam-like Question 14
Exam-like Question 15
Tangent Line Equations
4 konu anlatımı · 13 soru
Equation of a Tangent Line I
Equation of a Tangent Line II
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
Exam-like Question 8
Exam-like Question 9
Exam-like Question 10
Exam-like Question 11
Challenging: Tangent Line Passes through a Point
Exam-like Question 12
Exam-like Question 13
Implicit Differentiation
3 konu anlatımı · 9 soru
Implicit Differentiation I
Implicit Differentiation II
Tangent Lines & Implicit Functions
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
Logarithmic Differentiation
2 konu anlatımı · 7 soru
Logarithmic Differentiation I
Logarithmic Differentiation II
Exam-like Question 1-2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Exam-like Question 6
Exam-like Question 7
Exam-like Question 8
Derivative of Inverse Function
1 konu anlatımı · 5 soru
Derivative of Inverse
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Derivative of Inverse Trigonometric Functions
2 konu anlatımı · 10 soru
Inverse Trigonometric Functions
Derivatives of Inverse Trigonometric Functions
Exam-like Question 1-2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Exam-like Question 6
Exam-like Question 7
Exam-like Question 8
Implicit & Inverse Trigonometric Functions I
Implicit & Inverse Trigonometric Functions II
Implicit & Inverse Trigonometric Functions III
Related Rates
3 konu anlatımı · 4 soru
Related Rates I
Related Rates II
Related Rates III
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Linear Approximation (Linearization)
1 konu anlatımı · 5 soru
Linear Approximation
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Extreme Values and Critical Points
1 konu anlatımı · 5 soru
Critical Points, Absolute Maximum & Minimum
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
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
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
Concavity and Inflections
2 konu anlatımı · 7 soru
First Derivative Test & Extremum Values
Second Derivative & Concavity
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
Curve Sketching
3 konu anlatımı · 3 soru
Curve Sketching I
Curve Sketching II
Curve Sketching III
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
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
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
Challenging Problem
Past Exam Problems (Konu Sırasıyla)
68 soru
Limits of Functions
Limits of Functions
Limits of Functions
Limits of Functions
Limits of Functions
Limits of Functions
Limits of Functions
Limits of Functions (Fall 2022 Exam)
Formal Definition of Limit
Formal Definition of Limit
Formal Definition of Limit
Continuity
Continuity
Continuity
Continuity
Continuity
Continuity
Continuity (Spring 2021 Exam)
IVT and Asymptotes (Spring 2021 Exam)
Asymptotes
Asymptotes
Asymptotes
Continuity and Differentiability
Continuity and Differentiability
Continuity and Differentiability
Continuity and Differentiability
Continuity and Differentiability
Continuity and Differentiability
Continuity and Differentiability (Fall 2022 Exam)
Chain Rule
Chain Rule
Chain Rule
Chain Rule
Chain Rule (Spring 2021 Exam)
Chain Rule
Chain Rule (Fall 2022 Exam)
Equation of a Tangent Line
Equation of a Tangent Line
Equation of a Tangent Line
Equation of a Tangent Line
Tangent Line and Implicit Differentiation (Spring 2021 Exam)
Tangent Line and Implicit Differentiation (Fall 2022 Exam)
Implicit Differentiation
Implicit Differentiation
Implicit Differentiation
Implicit Differentiation
Implicit Differentiation
Logarithmic & Trigonometric Differentiation
Logarithmic & Trigonometric Differentiation
Logarithmic & Trigonometric Differentiation
Mean Value Theorem
Mean Value Theorem
Mean Value Theorem
Related Rates
Related Rates
Related Rates
Related Rates
Related Rates
Curve Sketching (Spring 2021 Exam)
Curve Sketching
Curve Sketching
Curve Sketching
Curve Sketching
Curve Sketching
Optimization Problems
Optimization Problems (Spring 2021 Exam)
Optimization Problems
Optimization Problems
(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
(NEW) SPRING 2021 Exam
6 soru
Tangent Line and Implicit Differentiation
Continuity
Chain Rule
Intermediate Value Theorem and Asymptotes
Optimization Problems
Curve Sketching
(NEW) FALL 2022 Exam
4 soru
Continuity and Differentiability
Limits of Functions
Chain Rule
Tangent Line and Implicit Differentiation
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MATH 101 Midterm I Hakkında Sıkça Sorulan Sorular
Unicourse Hakkında Sıkça Sorulan Sorular
