MATH 101 • Tüm Sınavlar • Calculus I
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.
Konular
Limits of Functions
3 konu anlatımı · 5 soru
Limits of Functions
Limits with Absolute Value
Limits Rules
Exam-like Questions 1
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The Squeeze Theorem
1 konu anlatımı · 6 soru
The Squeeze (Sandwich) Theorem
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Exam like Question 5
Exam like Question 6
Limits at Infinity and Infinite Limits
4 konu anlatımı · 7 soru
Limits at Infinity I
Limits at Infinity II
Limits at Infinity III
Infinite Limits
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Exam like Question 7
Limits of Trigonometric Functions
3 konu anlatımı · 4 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 · 9 soru
Continuity
Discontinuity and Continuous Extension
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Intermediate Value Theorem
2 konu anlatımı · 7 soru
Intermediate Value Theorem I
Intermediate Value Theorem II
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Exam like Question 7
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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Bonus: Challenging Problem
Differentiability
2 konu anlatımı · 3 soru
Differentiability 1
Differentiability 2
Problem 1
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Differentiation Rules
7 konu anlatımı · 9 soru
Power Rule
Derivatives of Exponential & Logarithmic Functions
Product Rule
Quotient Rule
Derivatives of Trigonometric Functions
Chain Rule 1
Chain Rule 2
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Exam like Question 9
Geometric Definition of Derivative
4 konu anlatımı · 3 soru
Geometrical Definition of Derivative
Equation of a Tangent Line 1
Equation of a Tangent line 2
Horizontal and Vertical Tangent
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Exam like Question 3
Implicit Differentiation
3 konu anlatımı · 6 soru
Implicit Differentiation 1
Implicit Differentiation 2
Tangent Lines of Implicit Functions
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Exam like Question 7
Related Rates
3 konu anlatımı · 3 soru
Related Rates-1
Related Rates-2
Related Rates-3
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Linear Approximations and Differentials
1 konu anlatımı · 3 soru
Linear Approximation
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The Mean Value Theorem
4 konu anlatımı · 6 soru
Mean Value Theorem 1
Mean Value Theorem 2
Mean Value Theorem 3
Mean Value Theorem 4
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Exam like Question 6
Maximum and Minimum Values
1 konu anlatımı · 2 soru
Critical Points, Absolute Maximum & Minimum
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Exam like Question 2
Past Exams Problems Part I
14 soru
Fall 2017 Exam: Limit of Functions
Fall 2013 Exam: Limit of Functions
Fall 2016 Exam: Limit of Functions
Fall 2022 Exam: Limit of Functions
Fall 2021 Exam: Limits of Trigonometric Functions
Fall 2019 Exam: Limits & Intermediate Value Theorem
Fall 2017 Exam: Limits of Trigonometric Functions
Fall 2010 Exam: Limits of Trigonometric Functions
Fall 2018 Exam: Limits of Trigonometric Functions
Fall 2000 Exam: The Squeeze Theorem
Fall 2019 Exam: Limits of Function
Fall 2005 Exam: Limits of Functions
Fall 2020 Exam: Intermediate Value Theorem & Limit Definition of Derivative
Fall 2015 Exam: Squeeze Theorem & Limit Definition of Derivative
Past Exam Problems Part II
24 soru
Fall 2022 Exam: Higher Order Differentiation & The Chain Rule
Fall 2012 Exam: Higher Order Differentiation
Fall 2013 Exam: Equation of a Tangent Line
Fall 2010 Exam: Equation of a Tangent Line
Fall 2019 Exam: Tangent Line and Chain Rule
Fall 2016 Exam: Tangent Line and Chain Rule
Fall 2022 Exam: Tangent Line and Chain Rule
Fall 2014 Exam: Tangent Line and Chain Rule
Fall 2015 Exam: Tangent Line and Chain Rule
Fall 2021 Exam: Implicit Higher Differentiation
Fall 2020 Exam: Implicit Higher Differentiation
Fall 2014 Exam: Implicit Higher Differentiation
Fall 2008 Exam: Implicit Higher Differentiation
Fall 2017 Exam: Implicit Higher Differentiation
Fall 2015 Exam: Related Rates
Fall 2017 Exam: Related Rates
Fall 2020 Exam: Related Rates
Fall 2000 Exam: Related Rates
Fall 2010 Exam: Related Rates
Fall 2021 Exam: Related Rates
Fall 2022 Exam: Related Rates
Fall 2001 Exam: Related Rates
Fall 2014 Exam: Related Rates
Fall 2012 Exam: Related Rates
Past Exam Problems Part III
10 soru
Maximum and Minimum Values 1
Maximum and Minimum Values 2
Mean Value Theorem 1
Mean Value Theorem 2
Fall 2017 Exam: Mean Value Theorem
Fall 2022 Exam: Mean Value Theorem
Mean Value Theorem 5
Mean Value Theorem 6
Mean Value Theorem 7
Fall 2016 Exam: Mean Value Theorem
Past Exams: Theory Problems
13 soru
Fall 2021 Exam: Theory Problem I
Fall 2021 Exam: Theory Problem II
Fall 2021 Exam: Theory Problem III
Fall 2021 Exam: Theory Problem IV
Fall 2016 Exam: Theory Problem I
Fall 2016 Exam: Theory Problem II
Fall 2016 Exam: Theory Problem III
Fall 2016 Exam: Theory Problem IV
Fall 2014 Exam: Theory Problem I
Fall 2014 Exam: Theory Problem II
Fall 2014 Exam: Theory Problem III
Fall 2014 Exam: Theory Problem IV
Fall 2008 Exam: Theory Problem I-IV
Sınav Provası I: Fall 2023 Exam
5 soru
Limit of Functions
Tangent Line & Intermediate Value Theorem
Limit of Trigonometric Functions
Implicit Higher Order Differentiation
Related Rates
Sınav Provası II: Fall 2024 Exam
5 soru
Limit without L'Hopital's Rule
Limit of Trigonometric Functions
Implicit Higher Differentiation
Related Rates
Equation of a Tangent Line & Absolute Extremas
(Bonus) Unicourse Review Problems
12 soru
Implicit Differentiation
Implicit Differentiation
Implicit Differentiation
Implicit Higher Differentiation
Absolute Extremas
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Related Rates
Related Rates
Mean Value Theorem
Mean Value Theorem
Maximum and Minimum Values
3 konu anlatımı · 3 soru
Extreme Values
First Derivative Test & Extremum Values
Second Derivative & Concavity
Exam like Question 1
Exam like Question 2
Exam like Question 3
Asymptotes
2 konu anlatımı · 2 soru
Vertical and Horizontal Asymptotes
Oblique Asymptotes
Exam like Question 1-2-3
Exam like Question 4
Optimization Problems
4 konu anlatımı · 5 soru
Optimization 1
Optimization 2
Optimization 3
Optimization 4
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Past Exams & Sample Midterm Part I
15 soru
Curve Sketching 1
Curve Sketching 2
Fall 2019 Exam: Curve Sketching
Fall 2021 Exam: Curve Sketching
Fall 2018 Exam: Curve Sketching
Optimization Problems 1
Optimization Problems 2
Optimization Problems 3
Optimization Problems 4
Optimization Problems 5
Fall 2017 Exam: Optimization Problems
Fall 2018 Exam: Optimization Problems
Fall 2021 Exam: Optimization Problems
Fall 2012 Exam: Optimization Problems
Fall 2022 Exam: Optimization Problems
Anti Derivative - Integration Rules
4 konu anlatımı · 2 soru
Anti-derivative 1
Anti-derivative 2
Integral of Trigonometric Functions 1
Integral of Trigonometric Functions 2
Exam like Question 1
Exam like Question 2
The Substitution Rule
4 konu anlatımı · 8 soru
Integration with Substitution 1
Integration with Substitution 2
Integration with Substitution 3
Integration with Substitution 4
Exam like Question 1
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Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Riemann Sum: The Area and Distance Problems
4 konu anlatımı
Riemann Sum 1
Riemann Sum 2
Riemann Sum 3
Riemann Sum 4
The Definite Integral & Properties of Integration
1 konu anlatımı · 2 soru
Properties of Integration
Exam like Question 1
Exam like Question 2
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
Separable Equations (Differential Equations)
2 konu anlatımı · 4 soru
Initial Conditions (Initial Value Problem)
Initial Conditions (Initial Value Problem)
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Past Exams & Sample Midterm Part II
29 soru
Properties of Integration I
Properties of Integration II
Riemann Sum 1
Riemann Sum 2
Riemann Sum 3
Riemann Sum 4
Riemann Sum 5
Riemann Sum 6
Riemann Sum 7
Riemann Sum 8
Riemann Sum 9
Riemann Sum 10
Riemann Sum 11
Fundamental Th. of Calculus 1
Fundamental Th. of Calculus 2
Fundamental Th. of Calculus 3
Fall 2021 Exam: Fundamental Th. of Calculus 4
Fundamental Th. of Calculus 5
Fundamental Th. of Calculus 6
Fundamental Th. of Calculus 7
Fundamental Th. of Calculus 8
Fall 2018 Exam: Fundamental Th. of Calculus 9
Fundamental Th. of Calculus 10
Separable Equations
Separable Equations
Separable Equations
Fall 2019 Exam: Separable Equations
Fall 2021 Final Exam: Separable Equations
Fall 2011 Exam: Separable Equations
Mean Value Th. for Integrals
1 konu anlatımı · 2 soru
MVT for Integrals
Exam like Question 1
Exam like Question 2
Area between Curves
6 konu anlatımı
Area between Curves 1
Area vs Integral
Area Between Curves 2
Area Between Curves 3
Area Between Curves 4
Area Between Curves 5
Volume by Integration
6 konu anlatımı
Solids of Revolution-1
Solid of Revolution 2
Solid of Revolution 3
Solid of Revolution 4
Solid of Revolution 5
Solid of Revolution 6
Exponential and Logarithmic Functions
2 konu anlatımı · 5 soru
Exponential and Logarithmic Equations
Derivatives of Exponential and Logarithmic Functions
Exam like Question 1
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Exam like Question 3
Exam like Question 4
Exam like Question 5
Logarithmic Differentiation
1 konu anlatımı · 5 soru
Logarithmic Differentiation
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam-like Question 4
Exam like Question 5-6
Past Exams & Sample Midterm Part III
13 soru
Fall 2019 Exam: Substitution Rule
Fall 2018 Exam: Substitution Rule
Fall 2019 Exam: Substitution Rule
Fall 2017 Exam: Substitution Rule
Fall 2019 Exam: Substitution Rule
Fall 2018 Exam: Substitution Rule
Fall 2021 Exam: Substitution Rule
Fall 2020 Exam: Substitution Rule
Fall 2017 Exam: Substitution Rule
Area between Curves 1
Area between Curves 2
Area between Curves 3
Area between Curves 4
Fall 2023 Exam Problems
6 soru
Curve Sketching
Optimization Problems
Initial Value Problems (D.E)
Fundamental Th. of Calculus
Integration with Substitution
Integration with Substitution
Spring 2024 Exam Problems
3 soru
Limit - Riemann Sum
First Derivative Test
Integral of an Odd Function
Fall 2024 Exam Problems
5 soru
Optimization Problems
Separable Equations (Differential Equations)
Fundamental Theorem of Calculus
Area between Curves
Integration with Substitution
Spring 2025 Exam Problems
4 soru
Optimization Problem
Fundamental Theorem of Calculus - Integration
Area & Volume by Integration
Riemann Sum & Definite Integration
Inverse Trigonometric Functions
3 konu anlatımı · 7 soru
Derivative of Inverse
Inverse Trigonometric Functions
Derivatives of Inverse Trigonometric Functions
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Exam like Question 2
Exam like Question 3-4
Exam like Questions 5-6
Exam like Question 7-8
Exam like Question 9
Exam like Question 10-11
Indeterminate Forms (L'Hopital's Rule)
6 konu anlatımı
Indeterminate Form 1 (0/0)
Indeterminate Form 2 (∞/∞)
Indeterminate Form 3 (0 x ∞)
Indeterminate Form 4 (∞ - ∞)
Indeterminate Form 5 - 6 (∞^0 and 0^0)
Indeterminate Form 7 (1 ^ ∞)
Past Exams & Sample Final Part I
40 soru
Volume by Integration
Fall 2020 Exam: Volume by Integration
Fall 2018 Exam: Volume by Integration
Logarithmic Differentiation 1
Logarithmic Differentiation 2
Logarithmic Differentiation 3
Logarithmic Differentiation 4
Derivative of Exponential & Logarithms 1
Derivative of Exponential & Logarithms 2
Derivative of Inverse Trig. Functions 1
Derivative of Inverse Trig. Functions 2
FTC and Inverse Trig. Functions 1
FTC and Inverse Trig. Functions 2
FTC & Linearization
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
Indeterminate Forms 12
Indeterminate Forms 13
Indeterminate Forms 14
Indeterminate Forms 15
Indeterminate Forms 16
Indeterminate Forms 17
Indeterminate Forms 18
Fall 2014 Exam: FTC & Indeterminate Forms
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
Integration of Exponential & Logarithm
4 konu anlatımı · 2 soru
Integral of Exponential Functions I
Integral of Exponential Functions II
Integral of Exponential Functions III
Substitution with Exponential & Logarithm I
Substitution with Exponential & Logarithm II
Substitution with Exponential & Logarithm III
Trigonometric Integrals
4 konu anlatımı
Trigonometric Integrals I
Trigonometric Integrals II
Trigonometric Integrals III
Integral of sec(x) and csc(x)
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
Partial Fractions 1
Partial Fractions 2
Improper Integrals
5 konu anlatımı
Intuition of Improper Integrals
Convergence of Improper Integrals
P test for Improper Integrals
Direct Comparison Test 1
Direct Comparison Test 2
Past Exams & Sample Final Part II
31 soru
Integral of Exponential and Logarithms 1
Integral of Exponential and Logarithms 2
Fall 2018 Exam: Integral of Exponential and Logarithms
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
Fall 2017 Exam: Riemann Sum
Riemann Sum 3
Riemann Sum 4
Integration by Part 1
Integration by Part 2
Integration by Part 3
Integration by Part 4
Integration by Part 5
Fall 2017 Exam: Integration by Part
Riemann Sum & Integration by Part
Fall 2021 Exam: Trigonometric Integrals 1
Fall 2017 Exam: Trigonometric Integrals
Fall 2018 Exam: Trigonometric Integrals
Trigonometric Substitution 1
Trigonometric Substitution 2
Trigonometric Substitution 3
Trigonometric Substitution 4
Partial Fractions 1
Partial Fractions 2
Partial Fractions 3
Partial Fractions 4
Partial Fractions 5
Partial Fractions 6
Past Exams & Sample Final Part III
14 soru
Improper Integral 1
Improper Integral 2
Improper Integral 3
Improper Integral 4
Improper Integral 5
Improper Integral 6
Improper Integral 7
Improper Integral 8
Improper Integral 9
Improper Integral 10
Improper Integral 11
Improper Integral 12
Improper Integral 13
Improper Integral 14
(NEW) Extra Past Exam Problems
17 soru
Fall 2021 Exam: Indeterminate Forms
Fall 2022 Exam: Indeterminate Forms
Fall 2018 Exam: Indeterminate Forms
Fall 2020 Exam: Indeterminate Forms
Fall 2018 Exam: Indeterminate Forms
Fall 2019 Exam: Integration by Part
Fall 2022 Exam: Integration by Part
Fall 2018 Exam: Integration by Part
Bonus: Integration by Part
Fall 2022 Exam: Volume by Integration
Fall 2016 Exam: Volume by Integration
Fall 2012 Exam: Volume by Integration
Fall 2017 Exam: Volume by Integration
Fall 2011: Volume & Improper Integrals
Fall 2019 Exam: Volume & Improper Integrals
Fall 2022 Exam: Improper Integrals
Fall 2021 Exam: Improper Integrals
(NEW) Past Exams: Theory Problems
13 soru
Fall 2019 Exam: Theory Problems I
Fall 2019 Exam: Theory Problems II
Fall 2019 Exam: Theory Problems III
Fall 2019 Exam: Theory Problems IV
Fall 2019 Exam: Theory Problems V
Fall 2022 Exam: Theory Problems I
Fall 2022 Exam: Theory Problems II
Fall 2022 Exam: Theory Problems III
Fall 2018 Exam: Theory Problems I
Fall 2018 Exam: Theory Problems II
Fall 2018 Exam: Theory Problems III
Fall 2018 Exam: Theory Problems IV
Fall 2018 Exam: Theory Problems V
(NEW) Fall 2023 Exam
10 soru
Indeterminate Forms
Trigonometric Integral
Integration by Part
Area between Curves
Volume by Integral & Improper Integrals
Theory Problem (True-False)
Theory Problem (True-False)
Theory Problem (True-False)
Theory Problem (True-False)
Theory Problem (True-False)
(NEW) Spring 2024 Exam
5 soru
Indeterminate Forms
Integration with Substitution
Trigonometric Integral
Trigonometric Substitution
Improper Integrals
(NEW) Fall 2024 Exam
5 soru
Volume by Integration
Indeterminate Forms
Improper Integrals & Partial Fractions
Theory Problem
Theory Problem