MATH 106 • Tüm Sınavlar • Introduction to Calculus II
Üniversitedeki en temel Matematik dersi olan Math 106 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.
Konular
Antiderivative
4 konu anlatımı · 2 soru
Anti-derivative 1
Anti-derivative 2
Exam like Question 1
Integral of Trigonometric Functions 1
Integral of Trigonometric Functions 2
Exam like Question 2
Integration with Substitution
4 konu anlatımı · 9 soru
Integration with Substitution 1
Integration with Substitution 2
Integration with Substitution 3
Integration with Substitution 4
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
Differential Equations: Introduction
2 konu anlatımı · 4 soru
Differential Equations (Initial Value Problem)
Differential Equations (Initial Value Problem)
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Riemann Sum
5 konu anlatımı · 3 soru
Riemann Sum 1
Riemann Sum 2
Riemann Sum 3
Riemann Sum 4
Riemann Sum 5
Exam like Question 1
Exam like Question 2
Exam like Question 3
The Definite Integral & Properties of Integration
1 konu anlatımı · 3 soru
Properties of Integration
Exam like Question 1
Exam like Question 2
Exam like Question 3
Area between Curves
6 konu anlatımı · 4 soru
Area between Curves 1
Area vs Integral
Area Between Curves 2
Area Between Curves 3
Area Between Curves 4
Area Between Curves 5
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Fundamental Theorem of Calculus
4 konu anlatımı
Fundamental Theorem of Calculus 1
Fundamental Theorem of Calculus 2
Fundamental Theorem of Calculus - Area Perspective
Extremum with Fundamental Theorem of Calculus
Mean Value Theorem for Integrals
1 konu anlatımı · 2 soru
MVT for Integrals
Exam like Question 1
Exam like Question 2
Exponential and Logarithmic Functions
4 konu anlatımı · 8 soru
Exponential & Logarithmic Equations
Domain of Exponential Functions
Domain of Logarithmic Functions
Derivatives of Exponential and 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
Exam like Question 7
Exam like Question 8
Logarithmic Differentiation
1 konu anlatımı · 5 soru
Logarithmic Differentiation
Exam like Question 1
Exam like Question 2
Exam like Question 3-4
Exam like Question 5
Exam like Question 6
Integration of Exponential & Logarithm
6 konu anlatımı · 2 soru
Integral of Exponential Functions
Integral of Exponential Functions 2
Integral of Exponential Functions 3
Substitution with Exponential & Logarithm
Substitution with Exponential & Logarithm 2
Substitution with Exponential & Logarithm 3
Substitution with Exponential & Logarithm 4
Integral of sec(x) and csc(x)
Inverse Functions and their Derivatives
2 konu anlatımı
Inverse of Functions
Derivative of Inverse
Inverse Trigonometric Functions
3 konu anlatımı · 5 soru
Inverse Trigonometric Functions
Derivatives of Inverse Trigonometric Functions
Integrals with Inverse Trigonometric Functions
Exam like Question 1
Exam like Questions 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Indeterminate Forms and 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 ^ ∞)
Past Midterm Problems Part I
11 soru
Exponential and Logarithm (Spring 2023)
Exponential and Logarithm (Fall 2019)
Exponential and Logarithm (Spring 2020)
Exponential and Logarithm (Spring 2019)
Logarithmic Differentiation (Fall 2020)
Logarithmic Differentiation (Fall 2019)
Logarithmic Differentiation (Spring 2023)
Logarithmic Differentiation (Summer 2020)
Logarithmic Differentiation
Logarithmic Differentiation 4 (Fall 2022)
Logarithmic Differentiation (Spring 2023)
Past Midterm Problems Part II
34 soru
Differential Equations 1
Differential Equations 2
Differential Equations 3
Differential Equations 4
Differential Equations 5
Differential Equations 6 (Spring 2019)
Differential Equations 7 (Fall 2020)
Differential Equations 8
Differential Equations 9
Area Between Curves 1
Area Between Curves 2
Area Between Curves 3
Area Between Curves 4
Area Between Curves 5 (Fall 2020)
Area Between Curves 6
Fundamental Th. of Calculus 1 (Fall 2019)
Fundamental Th. of Calculus 2
Fundamental Th. of Calculus 3
Fundamental Th. of Calculus 4 (Summer 2021)
Fundamental Th. of Calculus 5 (Fall 2022)
Fundamental Th. of Calculus 6 (Spring 2023)
Invertibility 1 (Fall 2019)
Invertibility 2 (Fall 2019)
Invertibility 3 (Spring 2023)
Invertibility 4 (Spring 2023)
Invertibility 5 (Summer 2021)
Invertibility 6 (Spring 2019)
FTC and Invertibility 1
FTC and Invertibility 2
FTC and Invertibility 3 (Spring 2019)
FTC and Invertibility 4 (Fall 2022)
Fundamental Th. of Calculus 6
Fundamental Th. of Calculus 7
FTC & Differential Equations (Spring 2023)
Past Midterm Problems Part III
18 soru
Substitution Method 1 (Fall 2020)
Substitution Method 2
Substitution Method 3 (Spring 2019)
Substitution Method 4 (Fall 2019)
Substitution Method 5 (Fall 2022)
Substitution Method 6
Substitution Method 7 (Fall 2019)
Substitution Method 8
Substitution Method 9 (Fall 2022)
Substitution Method 10 (Fall 2022)
Riemann Sum 1
Riemann Sum 2
Riemann Sum 3 (Fall 2019)
Riemann Sum 4 (Summer 2021)
Riemann Sum 5
Riemann Sum 6
Mean Value for Integrals 1 (Summer 2021)
Mean Value for Integrals 2
Indeterminate Forms and L'Hopital's Rule Problems
34 soru
Indeterminate Forms 1
Indeterminate Forms 2
Indeterminate Forms 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 (Spring 2021)
Indeterminate Forms 12
Indeterminate Forms 13
Indeterminate Forms 14
Indeterminate Forms 15
Indeterminate Forms 16
Indeterminate Forms 17 (Fall 2019)
Indeterminate Forms 18 (Summer 2020)
Indeterminate Forms 19
Indeterminate Forms 20
Indeterminate Forms 21 (Fall 2019)
Indeterminate Forms 22 (Spring 2023)
Indeterminate Forms 23
Indeterminate Forms 24 (Summer 2021)
Indeterminate Forms 25
FTC & Indeterminate Forms 1
FTC & Indeterminate Forms 2
FTC & Indeterminate Forms 3
FTC & Indeterminate Forms 4
FTC & Indeterminate Forms 5
FTC & Indeterminate Forms 6
FTC & Indeterminate Forms 7
FTC & Indeterminate Forms 8
Bonus: )
Spring 2024 Exam
11 soru
Integral of Trigonometric Functions
Integration with Substitution
Integration with Substitution
Area between Curves
Differential Equations
Logarithmic Differentiation
Logarithmic Differentiation
Properties of Integration
Properties of Integration
Fundamental Th. of Calculus
Inverse Trigonometric Functions
Fall 2024 Exam
10 soru
Integration with Substitution
Integration with Substitution
The Definite Integral and Properties of Integration
The Definite Integral and Properties of Integration
Differential Equations
Area Between Curves
Logarithmic Differentiation
Logarithmic Differentiation
Fundamental Theorem of Calculus
Fundamental Theorem of Calculus
Spring 2025 Exam
11 soru
Integration Rules
The Definite Integral
Integration with Substitution
Integration with Substitution
Differential Equations I
Differential Equations II
Area between Curves
Area between Curves
Logarithmic Differentiation
Logarithmic Differentiation
Fundamental Theorem of Calculus
Fall 2025 Exam
6 soru
Integration
Differential Equations
Area Between Curves
Differentiation
Inverse Functions
Integration by Parts
Trigonometric Integrals
4 konu anlatımı
Trigonometric Integrals 1
Trigonometric Integrals 2
Trigonometric Integrals 3
Trigonometric Integrals 4
Trigonometric Substitution
3 konu anlatımı
Trigonometric Substitution I
Trigonometric Substitution II
Trigonometric Substitution III
Integration by Part
7 konu anlatımı
Integration By Part 1
Integration By Part 2
Integration By Part 3
Integration By Part 4
Integration By Part 5
Integration By Part 6
Integration By Part (Bonus)
Integration of Partial Fractions
2 konu anlatımı · 6 soru
Partial Fractions 1
Partial Fractions 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
Partial Differentiation
4 konu anlatımı · 10 soru
Function with Several Variables
Partial Differentiation Rules 1
Partial Differentiation Rules 2
Higher Order Partial Differentiation
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
The Chain Rule
3 konu anlatımı · 4 soru
Chain Rule 1
Chain Rule 2
Chain Rule 3
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Implicit Differentiation
4 konu anlatımı
Implicit Differentiation I
Implicit Differentiation II
Implicit Differentiation III
Implicit Higher Differentiation
Extreme Values: Maxima and Minima
1 konu anlatımı · 4 soru
Extreme Values
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Lagrange Multipliers
4 konu anlatımı · 1 soru
Lagrange Multipliers I
Lagrange Multipliers II
Optimization with Lagrange Multipliers 1
Optimization with Lagrange Multipliers 2
Lagrange Multipliers with Two Constraints
Past Exams & Sample Final Part I
33 soru
Indeterminate Forms 1
Indeterminate Forms 2
Indeterminate Forms 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 (Spring 2021)
Indeterminate Forms 12
Indeterminate Forms 13
Indeterminate Forms 14
Indeterminate Forms 15
Indeterminate Forms 16
Indeterminate Forms 17 (Fall 2019)
Indeterminate Forms 18 (Summer 2020)
Indeterminate Forms 19
Indeterminate Forms 20
Indeterminate Forms 21 (Fall 2019)
Indeterminate Forms 22 (Spring 2023)
Indeterminate Forms 23
Indeterminate Forms 24
FTC & Indeterminate Forms 1
FTC & Indeterminate Forms 2
FTC & Indeterminate Forms 3
FTC & Indeterminate Forms 4
FTC & Indeterminate Forms 5
FTC & Indeterminate Forms 6
FTC & Indeterminate Forms 7
FTC & Indeterminate Forms 8
Bonus: )
Past Exams & Sample Final Part II
29 soru
Integral of Inverse Trig. Functions 1
Integral of Inverse Trig. Functions 2
Integral of Inverse Trig. Functions 3
Integral of Inverse Trig. Functions 4
Riemann Sum 1 (Integral of Inverse Trig. Functions)
Riemann Sum 2 (Integral of Inverse Trig. Functions)
Riemann Sum & Integration by Part
Integration by Part 1
Integration by Part 2
Integration by Part 3
Integration by Part 4
Integration by Part 5
Integration by Part 6
Integration by Part 7
Integration by Part 8 (Spring 2021)
Riemann Sum & Integration by Part
Partial Fractions 1
Partial Fractions 2
Partial Fractions 3
Partial Fractions 4
Partial Fractions 5
Partial Fractions 6
Partial Fractions 7
Trigonometric Substitution 1
Trigonometric Substitution 2
Trigonometric Substitution 3
Trigonometric Substitution 4
Trigonometric Substitution 5
Trigonometric Substitution 6
Past Exams & Sample Final Part III
19 soru
Chain Rule 1
Chain Rule 2
Chain Rule 3
Chain Rule 4
Chain Rule 5
Chain Rule 6
Chain Rule 7
Chain Rule and Higher Order Derivative 1
Chain Rule and Higher Order Derivative 2
Maxima, Minima and Saddle Points 1
Maxima, Minima and Saddle Points 2
Maxima, Minima and Saddle Points 3
Maxima, Minima and Saddle Points 4
Maxima, Minima and Saddle Points 5
Lagrange Multiplier 1
Lagrange Multiplier 2
Lagrange Multiplier 3
Implicit Differentiation
Implicit Differentiation
Fall 2023 Final Exam
10 soru
Indeterminate Forms and L'Hopital's Rule
Indeterminate Forms and L'Hopital's Rule
Indeterminate Forms and L'Hopital's Rule
Indeterminate Forms and L'Hopital's Rule
Integration by Parts
Trigonometric Substitution
Integration of Partial Fractions
Trigonometric Integrals
Extreme Values
Lagrange Multipliers
Spring 2024 Final Exam
12 soru
Indeterminate Forms
Indeterminate Forms
Indeterminate Forms
FTC and Indeterminate Forms
Integration with Substitution
Integration with Substitution
Integration by Partial Fractions
Integration by Part & Substitution
Higher Order Differentiation
Higher Order Differentiation
Extreme Values, Saddle Points
Lagrange Multipliers
Fall 2024 Final Exam
12 soru
L'Hospital's Rule
L'Hospital's Rule
L'Hospital's Rule
L'Hospital's Rule
Area Between Curves
Chain Rule
Integration by Substitution
Trigonometric Integrals
Integration by Substitution
Integration by Part
Maxima and Minima
Lagrange Multipliers
Spring 2025 Final Exam
4 soru
Indeterminate Forms & Fundamental Theorem of Calculus
Trigonometric Integrals & Partial Fractions
Area between Curves
Partial Derivative & Chain Rule
Her şeyi bitirdim, ek soru yok mu?
6 soru
Extreme Values, Saddle Points
Lagrange Multiplier
Lagrange Multiplier
Lagrange Multiplier
Lagrange Multiplier
Lagrange Multiplier