MATH 106 • Tüm Sınavlar • Calculus
Calculus dersi düşündüğün kadar zor değil! Bu dersimizle, ders kitabının bölüm sonundaki en önemli soruları, konu anlatım videolarımızda öğrenecek; daha sonrasında geçmiş senelerde sorulmuş 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.
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.
Konular
Calculus Preliminaries
4 konu anlatımı
Domain of Functions
Composite Functions
Inverse of Functions
Inverse Trigonometric Functions
Limits of Functions
2 konu anlatımı · 8 soru
Limits of Functions
Limits with Absolute Value
Exam-like Questions 1-2-3
Exam-like Questions 4
Exam-like Questions 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam like Question 10
The Squeeze 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 at Infinity and Infinite Limits
4 konu anlatımı · 5 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
Asymptotes
1 konu anlatımı · 2 soru
Vertical and Horizontal Asymptotes
Exam like Question 1
Exam like Question 2
Limits of Trigonometric Functions
3 konu anlatımı · 5 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
Continuity and Discontinuity
2 konu anlatımı · 8 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
Intermediate Value Theorem
2 konu anlatımı · 8 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
Exam like Question 7
Exam like Question 8
The Limit Definition of Derivatives
3 konu anlatımı · 8 soru
Rate of Change: Derivative at a Point
Derivative as a Function
"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 · 6 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
Differentiation Rules
4 konu anlatımı
Power Rule
Product Rule
Quotient Rule
Derivatives of Trigonometric Functions
The Chain Rule
3 konu anlatımı · 7 soru
Chain Rule I
Chain Rule II
Chain Rule 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
Tangent Line and Their Slopes
4 konu anlatımı · 8 soru
Equation of a Tangent Line I
Equation of a Tangent Line II
Horizontal and Vertical Tangent
Tangent Line Passes through a Point
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
Higher Order Derivative
1 konu anlatımı · 4 soru
Higher Order Derivatives
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
The Mean Value Theorem
4 konu anlatımı · 10 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
Implicit Differentiation
2 konu anlatımı · 5 soru
Implicit Differentiation
Tangent Lines & Implicit Functions
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Past Exams Problems (Konu Sırasıyla)
31 soru
Fall 2022 Exam: Limit without L'Hopital's
Spring 2024 Exam: Limit without L'Hopital's
Spring 2024 Exam: Limit without L'Hopital's
Fall 2021 Exam: Limits without L'Hopital
Fall 2021 Exam: Limits at Infinity
Fall 2022 Exam: The Squeeze Theorem
Limits at Infinity & The Squeeze Theorem
Fall 2022 Exam: Limits at Infinity & The Squeeze Theorem
Spring 2024 Exam: Limit at Infinity & The Squeeze Theorem
Fall 2021 Exam: Intermediate Value Theorem
Fall 2024 Sample Exam: Intermediate Value Theorem
Fall 2024 Sample Exam: Hidden Derivative
Spring 2015 Exam: Hidden Derivative
Spring 2022 Exam: Hidden Derivative
Fall 2022 Exam: Hidden Derivative
Fall 2018 Exam: The Limit Definition of Derivative
Fall 2024 Sample Exam: The Limit Definition of Derivative
Fall 2024 Sample Exam: The Limit Definition of Derivative
Fall 2024 Sample Exam: The Limit Definition of Derivative
Fall 2021 Exam: Differentiability
Spring 2024 Exam: Differentiability (using definition)
Fall 2022 Exam: Differentiability (without definition)
Fall 2021 Exam: Equation of a Tangent Line
Fall 2021 Exam: Horizontal Tangent Lines
Fall 2024 Sample Exam: Tangent Line Pass through a Point
Fall 2024 Sample Exam: The Chain Rule
Spring 2024 Exam: The Chain Rule
Fall 2021 Exam: The Chain Rule
The Chain Rule
Fall 2024 Sample Exam: The Mean Value Theorem
Spring 2024 Exam: Mean Value Theorem
Sınav Provası I: Fall 2023 Exam
5 soru
Limit without L'Hopital's (Squeeze, Infinity)
Intermediate Value Theorem
Horizontal Tangent Line
Differentiability
The Chain Rule
Sınav Provası II: Fall 2024 Exam
6 soru
Limit of Functions (Squueze, Trigonometric, Infinity)
The Squeeze Theorem
Intermediate Value Theorem
Differentiability
Tangent Line Passing Through a Point
Mean Value Theorem
(NEW) Sınav Provası III: Spring 2025 Exam
5 soru
Limit of Functions (Squueze, Trigonometric, Infinity)
Continuity & Differentiability
Equation of a Tangent Line & Chain Rule
The Mean Value Theorem
Intermediate Value & Mean Value Theorem
(Bonus) Her şeyi çözdüm, zor soru yok mu?
26 soru
The Squeeze Theorem
The Squeeze Theorem
The Squeeze Theorem
Limit at Infinity
Limits of Trigonometric Functions
Limits of Trigonometric Functions
Limits of Trigonometric Functions
Limits of Trigonometric Functions & IVT
Continuity & Squeeze Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
The Limit Definition of Derivative
Limit Definition of Derivative
Limit Definition of Derivative
Differentiability and The Limit Definition of Derivative
Mean Value Theorem
Mean Value Theorem
Mean Value Theorem
Mean Value Theorem & Intermediate Value Theorem
Mean Value Theorem
Mean Value Theorem & Intermediate Value Theorem
Mean Value Theorem
Mean Value Theorem
Implicit Differentiation
3 konu anlatımı · 5 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
Derivative of Exponentials and Logarithms
1 konu anlatımı · 6 soru
Derivatives of Exponential & Logarithmic 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
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
1 konu anlatımı · 3 soru
Derivative of Inverse
Exam like Question 1
Exam like Question 2
Exam like Question 3
Derivative of Inverse Trigonometric Functions
2 konu anlatımı · 9 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
Exam like Question 9
Exam like Question 10
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 ^ ∞)
Extreme Values
3 konu anlatımı · 5 soru
Absolute Maximum & Minimum
First Derivative Test & Relative Extremas
Concavity & Second Derivative Test
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Sketching the graph of a function
4 konu anlatımı
Function Sketching 1
Function Sketching 2
Function Sketching 3
Function Sketching 4
Optimization (Extreme Values) Problems
4 konu anlatımı · 6 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
Sample Exam Problems Part I
35 soru
Implicit Differentiation & Tangent Line
Implicit Differentiation & Tangent Line
Implicit Differentiation & Tangent Line
Implicit Differentiation & Tangent Line
Implicit Differentiation & Tangent Line
Logarithmic Differentiation
Logarithmic Differentiation
Logarithmic Differentiation
Absolute Maximum and Minimum
Absolute Maximum and Minimum
Absolute Maximum and Minimum
Relative Extremas
Relative Extremas
Curve Sketching
Curve Sketching
Curve Sketching
Optimization Problems
Optimization Problems
Optimization Problems
Indeterminate Forms 1
Indeterminate Forms 2-3
Indeterminate Forms 4
Indeterminate Forms 5
Indeterminate Forms 6
Indeterminate Forms 7
Indeterminate Forms 8
Indeterminate Forms 9
Indeterminate Forms 10
Indeterminate Forms 11
Indeterminate Forms 12
Indeterminate Forms 13
Indeterminate Forms 14
Indeterminate Forms 15
Challenging: Implicit Differentiation
Challenging: Implicit Differentiation
Antiderivative & Integration Rules
5 konu anlatımı
Integration Rules I
Integration Rules II
Integral of Trigonometric Functions I
Integral of Trigonometric Functions II
Integral of Exponential Functions
The Substitution Method
7 konu anlatımı · 11 soru
Integration with Substitution
Substitution with Logarithms & Exponentials I
Substitution with Logarithms & Exponentials II
Substitution with Trigonometric Functions 1
Substitution with Trigonometric Functions 2
Substitution with Trigonometric Functions 3
Substitution with Trigonometric Functions 4
Exam like Question 1
Exam like Question 2-3
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
Properties of the Integrals
4 konu anlatımı · 8 soru
Definite Integrals & Properties I
Definite Integrals & Properties II
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Average Value of a Function
Exam like Question 5
Exam like Question 6
Mean Value Theorem for Integrals
Exam like Question 7
Exam like Question 8
Riemann Sum
4 konu anlatımı · 4 soru
Riemann Sum
Lower and Upper Riemann Sum
From Riemann Sum to Integral I
From Riemann Sum to Integral II
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Fundamental Theorem of Calculus
3 konu anlatımı · 6 soru
Fundamental Theorem of Calculus I
Fundamental Theorem of Calculus II
FTC and L'Hospital's 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
Integration by Parts
6 konu anlatımı · 7 soru
Integration by Part I
Integration by Part II
Integration by Part III
Integration by Part IV
Integration By Part V
Faster Method for Integration by Part
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
Integrals of Rational Functions
2 konu anlatımı · 6 soru
Partial Fractions I
Partial Fractions 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
Sample Exam Problems Part II
25 soru
Fundamental Theorem of Calculus
Fall 2017 Exam: Fundamental Theorem of Calculus
FTC & Chain Rule
FTC & Quotient Rule
FTC & L'Hopital's Rule
Fall 2021 Exam: FTC and L'Hospital's Rule
Fall 2023 Exam: FTC and L'Hospital's Rule
Spring 2024 Exam: FTC and L'Hospital's Rule
Fall 2022 Exam: FTC and L'Hospital's Rule
Spring 2023: FTC and L'Hospital's Rule
FTC and Equations
Integration Techniques (By Part, Partial Fractions)
Integration by Part
Integration by Part
Fall 2021 Exam: Integration by Part
Spring 2024 Exam: Integration by Parts
Fall 2017 Exam: Integration by Part
Spring 2023 Exam: Integration by Part
Fall 2023 Exam: Integration by Part
Fall 2018 Exam: Partial Fractions
Partial Fractions
Fall 2021 Exam: Partial Fractions
Fall 2023 Exam: Partial Fractions
Spring 2024 Exam: Partial Fractions
Partial Fractions
Improper Integrals
5 konu anlatımı · 4 soru
Intuition of Improper Integrals
Convergence of Improper Integrals
P test for Improper Integrals
Direct Comparison Test 1
Direct Comparison Test 2
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Sample Exam Problems Part III
16 soru
Improper Integrals
Fall 2018 Exam: Improper Integrals
Spring 2023 Exam: Improper Integrals
Improper Integrals
Spring 2024 Exam: Improper Integrals
Improper Integrals
Comparison Test & Improper Integral
Comparison Test & Improper Integral
Comparison Test & Improper Integral
Comparison Test & Improper Integral
Fall 2022 Exam: Comparison Test & Improper Integral
Fall 2022 Exam: Comparison Test & Improper Integral
Fall 2023 Exam: Comparison Test for Improper Integrals
Spring 2024 Exam: Comparison Test for Improper Integrals
Comparison Test & Improper Integral
Bonus: Comparison Test & Improper Integral
Past Exam Problems (Konu Sırası ve Yıllarıyla)
25 soru
Function Sketching
Function Sketching
Function Sketching
Optimization Problems
Optimization Problems
Optimization Problems
Indeterminate Forms
Indeterminate Forms
Indeterminate Forms
Indeterminate Forms
Indeterminate Forms
Indeterminate Forms
Indeterminate Forms
Indeterminate Forms
Indeterminate Forms
Indeterminate Forms
Indeterminate Forms
Substitution Method
Substitution Method
Substitution Method
Riemann Sum
Riemann Sum
Riemann Sum
Riemann Sum
Riemann Sum
Sınav Provası I: Fall 2024 Exam
6 soru
Curve Sketching
Indeterminate Forms - L'Hopital's Rule
Fundamental Theorem of Calculus- L'Hopital's Rule
Riemann Sum
Optimization Problems
Integration by Part
Sınav Provası II: Fall 2023 Exam
7 soru
Absolute Maximum and Minimum
Curve Sketching
Riemann Sum
FTC and L'Hospital's Rule
Integration by Part
Integration with Partial Fractions
Improper Integral
Sınav Provası III: Spring 2024 Exam
9 soru
Indeterminate Forms
FTC and L'Hospital's Rule
Riemann Sum
Integration by Parts
Integration with Partial Fractions
Area Between Curves
Area Between Curves
Improper Integral
Improper Integral
(NEW) Sınav Provası IV: Spring 2025 Exam
5 soru
Absolute Extremas
Curve Sketching
Optimization Problems
FTC & Riemann Sum & Indeterminate Forms
Integration Techniques
Area between Curves
5 konu anlatımı
Area and Integral
Area between Curves I
Area between Curves II
Area between Curves III
Area between Curves IV
Past Exam Problems Part I
5 soru
Area between Curves
Area between Curves
Area between Curves
Fall 2017 Exam: Area Between Curves
Spring 2024 Exam: Area Between Curves
Sequences & Convergence
6 konu anlatımı · 6 soru
Introduction to Sequences
Bounded Sequences
Limit of a Sequence
Convergence of a Sequence
Recursive Sequences 1
Recursive Sequences 2
Exam like Question 1-2
Exam like Question 3-4
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Infinite Series
5 konu anlatımı
Series: Partial Sums
Geometric Series
Harmonic Series
Telescoping Series
Operations in Series
Convergence Tests for Series
7 konu anlatımı
The Nth-Term Test
The Integral Test
P Test
The Ratio Test
The Root Test
Direct Comparison Test
The Limit Comparison Test
Absolute and Conditional Convergence
6 konu anlatımı
Introduction to Absolute Convergence
Absolute Convergence Theorem
Alternating Series Test I
Alternating Series Test II
Conditional Convergence
Absolute or Conditional or Divergent ??
Power Series
6 konu anlatımı
What is a Power Series?
Radius and Interval of Convergence
Convergence on Endpoints
Term by Term Differentiation & Integration
Finding a Power Series Expansion
Power Series with Different Centers
Taylor and Maclaurin Series
4 konu anlatımı
Taylor Series: Intuition
Taylor and Maclaurin Series
Taylor and Maclaurin Series 2
Finding a Taylor Series Expansion
Applications of Taylor Series
2 konu anlatımı · 6 soru
Applications of Taylor Series 1
Applications of Taylor Series 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 (Önemli)
Taylor Polynomial
2 konu anlatımı · 6 soru
Taylor Polynomial 1
Taylor Polynomial 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
(NEW) Unicourse Special Review Problems
20 soru
Radius and Interval of Convergence
Radius and Interval of Convergence
Convergence Test for Series
Convergence Test for Series
Geometric Series
Geometric Series
Geometric Series
Telescoping Series
Telescoping Series
Telescoping Series
Telescoping Series
Alternating Series Test: Conditional & Absolute Convergence
Alternating Series Test: Conditional & Absolute Convergence
Alternating Series Test: Conditional & Absolute Convergence
Power series Expansion
Power series Expansion
Power Series Expansion
Power Series Expansion
Power Series Expansion
Power series Expansion
Past Exam Problems Part II
38 soru
Fall 2021 Exam: Sequences
Fall 2022 Exam: Sequences
Spring 2023 Exam: Sequences
Spring 2023 Exam: Sequences
Convergence Tests
Convergence Tests
Convergence Tests
Spring 2023 Exam: Convergence Tests
Convergence Tests
Convergence Tests
Convergence Tests
Spring 2023 Exam: Convergence Tests
Spring 2023 Exam: Convergence Tests
Convergence Tests
Convergence Tests
Convergence Tests
Spring 2023 Exam: Alternating Series Test
Spring 2023 Exam: Alternating Series Test
Fall 2021 Exam: Alternating Series Test
Radius of Convergence 1
Radius of Convergence 2
Radius of Convergence 3
Radius of Convergence 4
Interval of Convergence 1 (Spring 2023)
Interval of Convergence 2 (Spring 2023)
Interval of Convergence 3
Taylor Series 1
Taylor Series 2
Taylor Series 3 (Önemli)
Taylor Series 4 (Önemli)
Taylor Series 5 (Önemli)
Taylor Series 6
Taylor Series 7
Limit with Taylor Series 1
Limit with Taylor Series 2
Limit with Taylor Series 3
Limit with Taylor Series 4
Limit with Taylor Series 5
Prova I: Fall 2024 Final Exam
7 soru
Implicit Differentiation
Fundamental Theorem of Calculus
Integration by Part
Improper Integrals
Recursive Sequences
Convergence Test for Series
Interval Convergence
Prova II: Fall 2023 Final Exam
5 soru
Implicit Differentiation & Tangent Lines
Partial Sum and Indeterminate Forms
Recursive Sequences
Convergence of Series
Radius and Interval of Convergence
Prova III: Spring 2024 Final Exam
9 soru
Tangent Line & Implicit Differentiation
Area between Curves
Recursive Sequence
Limit of a Sequence
Limit of a Sequence
Limit of a Sequence
Convergence of Series
Convergence of Series
Convergence of Series