MATH 131 • Tüm Sınavlar • Calculus I
Yeditepe biz geldik! 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.
İhsan Altundağ
Eğitmen
2007 yılında Galatasaray Üniversitesi Bilgisayar Mühendisliği bölümünden birincilikle mezun olduktan sonra Fransa'da Kriptoloji üzerine Fransa hükümeti tarafından verilen bursla yüksek lisans yaptım. Devamında ikinci kez sınava girerek Boğaziçi Matematik bölümünü de bitirdim. Yaklaşık 15 yıldır üniversite öğrencilerine dersler vermekteyim.
Konular
Functions (Domain-Range-Inverse)
3 konu anlatımı
Functions: Domain and Range
Composite Functions
Inverse of Functions
Limits of Functions
3 konu anlatımı · 10 soru
Limits of Functions
Limits with Absolute Value
Limits Rules
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The Squeeze Theorem
1 konu anlatımı · 5 soru
The Squeeze (Sandwich) Theorem
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Limits at Infinity and Infinite Limits
4 konu anlatımı · 10 soru
Limits at Infinity I
Limits at Infinity II
Limits at Infinity III
Infinite Limits
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Asymptotes
1 konu anlatımı · 2 soru
Vertical and Horizontal Asymptotes
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Limits of Trigonometric Functions
3 konu anlatımı
Limit of Trigonometric Functions I
Limit of Trigonometric Functions II
Limit of Trigonometric Functions III
Continuity and Discontinuity
2 konu anlatımı · 8 soru
Continuity
Discontinuity and Continuous Extension
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Intermediate Value Theorem
2 konu anlatımı · 5 soru
Intermediate Value Theorem I
Intermediate Value Theorem II
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The Limit Definition of Derivative
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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Differentiability
2 konu anlatımı · 6 soru
Differentiability (with Limit Definition)
Differentiability (without using Limit Definition)
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Differentiation Rules
4 konu anlatımı · 10 soru
Power Rule
Derivatives of Exponentials
Product Rule
Quotient Rule
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Higher Order Derivative
1 konu anlatımı · 4 soru
Higher Order Derivative
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Derivative of Trigonometric Functions
1 konu anlatımı · 4 soru
Derivatives of Trigonometric Functions
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The Chain Rule
3 konu anlatımı · 11 soru
Chain Rule I
Chain Rule II
Chain Rule III
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Tangent Lines and Their Slopes
4 konu anlatımı · 6 soru
Equation of a Tangent Line I
Equation of a Tangent Line II
Horizontal and Vertical Tangent
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Challenging: Tangent Line Passes through a Point
Implicit Differentiation
3 konu anlatımı · 7 soru
Implicit Differentiation I
Implicit Differentiation II
Tangent Lines & Implicit Functions
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Derivative of Inverse Function
1 konu anlatımı · 5 soru
Derivative of Inverse
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Derivative of Inverse Trigonometric Functions
2 konu anlatımı · 9 soru
Inverse Trigonometric Functions
Derivatives of Inverse Trigonometric Functions
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Implicit & Inverse Trigonometric Functions I
Implicit & Inverse Trigonometric Functions II
Logarithmic Differentiation
2 konu anlatımı · 7 soru
Logarithmic Differentiation I
Logarithmic Differentiation II
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The Mean Value Theorem
4 konu anlatımı · 11 soru
Mean Value Theorem I
Mean Value Theorem II
Mean Value Theorem III
Mean Value Theorem IV
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Past Exam Problems (Konu Sırasıyla)
29 soru
Spring 2022 Exam: The Squeeze Theorem
Spring 2023 Exam: Limit with Absolute Value
Fall 2021 Exam: Limit with Absolute Value
Spring 2022 Exam: Limit with Absolute Value
Summer 2019 Exam Exam: Limit with Trigonometric Functions
Fall 2021 Exam: Limits of Trigonometric Functions
Spring 2017 Exam: Limit with Trigonometric Functions
Fall 2018 Exam: Limit with Trigonometric Functions
Spring 2022 Exam: Continuity
Summer 2017 Exam: Continuity
Spring 2022 Exam: Tangent Line Equation
Spring 2021 Exam: Horizontal Tangent Line
Fall 2021 Exam: Limit Definition of Derivative
Spring 2022 Exam: Limit Definition of Derivative
Fall 2019 Exam: Limit Definition of Derivative
Fall 2018 Exam: Differentiability (without using Definition)
Fall 2021 Exam: Differentiability (without using Definition)
Spring 2022 Exam: Implicit Differentiation
Fall 2021 Exam: Implicit Differentiation
Spring 2022 Exam: Tangent Line & Implicit Differentiation
Spring 2017 Exam: Tangent Line & Implicit Differentiation
Fall 2021 Exam: The Chain Rule
Fall 2019 Exam: The Chain Rule
Spring 2019 Exam: The Chain Rule
Spring 2022 Exam: Mean Value Theorem
Fall 2021 Exam: Mean Value Theorem
Summer 2019 Exam: Mean Value Theorem
Fall 2021 Exam: Mean Value Theorem
Spring 2017 Exam: The Mean Value Theorem
(NEW) Sınav Provası I: Fall 2024 Exam
10 soru
The Squeeze Theorem
Limit without L'Hopital's Rule
The Intermediate Value Theorem
Equation of a Tangent Line
The Mean Value Theorem
Logarithmic Differentiation
One-to-One or not? Derivative of Inverse
Implicit Differentiation & Tangent Line
Logarithmic Differentiation
Differentiability
(NEW) Sınav Provası II: Spring 2025 Exam
8 soru
Domain of a Function
Limits at Infinity
Limits of Trigonometric Functions
The Squeeze Theorem
Differentiability
Logarithmic Differentiation
Implicit Differentiation & Tangent Line
Mean Value Theorem
Sınav Provası III: Spring 2024 Midterm Exam
11 soru
Limit of Functions
Limit with Absolute Value
Limit with Absolute Value
Continuity
Asymptotes
Differentiability (without using Definition)
Differentiability (using Definition of Derivative)
Differentiability (using Definition of Derivative)
Horizontal Tangent Line
Implicit Differentiation
Equation of a Tangent Line & Chain Rule
Sınav Provası IV: Fall 2023 Midterm Exam
7 soru
Limits of Trigonometric Functions
Continuity & Squeeze Theorem
Differentiability
The Mean Value Theorem
The Mean Value Theorem
Logarithmic Differentiation
Implicit Differentiation & Tangent Lines
(Bonus) Unicourse General Review Problems
29 soru
Limit of Functions (Mixed)
Limit of Functions (Mixed)
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Continuity
Continuity
Limit Definition of Derivative
Limit Definition of Derivative
Limit Definition of Derivative
Limit Definition of Derivative
Differentiability
Differentiability
Equation of a Tangent Line
Equation of a Tangent Line
Mean Value Theorem
Mean Value Theorem
Mean Value Theorem
Implicit Differentiation
Implicit Differentiation & Tangent Line
Implicit Differentiation & Tangent Line
Implicit Differentiation & Tangent Line
Implicit Differentiation & Tangent Line
Chain Rule
Chain Rule
Logarithmic Differentiation
Logarithmic Differentiation
Logarithmic Differentiation
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
1 konu anlatımı · 4 soru
Absolute Maximum & Minimum
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Concavity and Inflections
2 konu anlatımı · 4 soru
First Derivative Test & Extremum Values
Second Derivative & Concavity
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Exam like Question 4
Sketching the Graph of a Function
3 konu anlatımı · 2 soru
Curve Sketching I
Curve Sketching II
Curve Sketching III
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Extreme-Value Problems
4 konu anlatımı · 8 soru
Optimization Problems I
Optimization Problems II
Optimization Problems III
Optimization Problems IV
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Linear Approximations
1 konu anlatımı · 3 soru
Linear Approximation
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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 Method of Substitution
6 konu anlatımı · 13 soru
Integration with Substitution
Substitution with Logarithms & Exponentials I
Substitution with Logarithms & Exponentials II
Trigonometric Integrals I
Trigonometric Integrals II
Integral of sec(x) and csc(x)
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Area as Limits of Sums (Riemann Sum)
2 konu anlatımı
Riemann Sum
Lower and Upper Riemann Sum
The Definite Integrals Part I
2 konu anlatımı · 4 soru
Definite Integrals & Properties I
Definite Integrals & Properties II
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The Definite Integrals Part II
1 konu anlatımı · 4 soru
Average Value of a Function
Fall 2023 Bütünleme: Average Value by Integral
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Exam like Question 4
Fundamental Theorem of Calculus
3 konu anlatımı
Fundamental Theorem of Calculus 1
Fundamental Theorem of Calculus 2
FTC and L'Hospital's Rule
Areas of Plane Regions
5 konu anlatımı
Area and Integral
Area between Curves I
Area between Curves II
Area between Curves III
Area between Curves IV
Integration by Part
6 konu anlatımı
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
Integrals of Rational Functions
2 konu anlatımı · 6 soru
Partial Fractions I
Partial Fractions II
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Inverse Trigonometric Substitution
2 konu anlatımı · 3 soru
Inverse Trigonometric Substitution I
Inverse Trigonometric Substitution II
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Improper Integrals
3 konu anlatımı · 7 soru
Intuition of Improper Integrals
Convergence of Improper Integrals
P test for Improper Integrals
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Past Final Exam Problems
18 soru
Fall 2021 Exam: L'Hopital's Rule
Spring 2022 Exam: L'Hopital's Rule
Fall 2019 Exam: L'Hopital's Rule
Spring 2019 Exam: L'Hopital's Rule
Extreme Values
Linear Approximation
Fall 2017 Exam: Fundamental Th. of Calculus
Spring 2022 Exam: Fundamental Th. of Calculus
FTC and L'Hospital's Rule
Fall 2021 Exam: FTC and L'Hospital's Rule
Spring 2018 Exam: FTC & Tangent Line
Spring 2022 Exam: Area Between Curves
Fall 2017 Exam: Integration by Part
Spring 2022 Exam: Integration by Part
Fall 2021 Exam: Improper Integral
Fall 2021 Exam: Inverse Substitution
Spring 2022 Exam: Inverse Substitution
Fall 2019 Exam: Improper & Inverse Substitution
Sınav Provası I: Fall 2022 Final Exam
9 soru
Linear Approximation
Extreme Value Problems
Fundamental Theorem of Calculus
Fundamental Theorem of Calculus
FTC and L'Hospital's Rule
Inverse Substitution
Partial Fractions & Substitution
Improper Integral
Improper Integral
Sınav Provası II: Fall 2023 Final Exam
10 soru
Linear Approximation
Extreme Values & Concavity
Extreme Value Problems
Indeterminate Forms & L'Hopital's Rule
Fundamental Theorem of Calculus
FTC & L'Hopitals Rule
Area between Curves
Integration by Part
Integration with Substitution
Improper Integrals & Trigonometric Substitution
Sınav Provası III: Fall 2023 Bütünleme (Resit) Exam
10 soru
Extreme Values & Concavity
Linear Approximation
Optimization Problem
Area between Curves
FTC and L'Hospital's Rule
L'Hopital's Rule
Integration with Substitution
Trigonometric Substitution
Integration by Part
Average Value of a Function
Sınav Provası IV: Spring 2024 Final Exam
11 soru
Asymptotes
Extreme Values
Concavity and Inflections
Differentiability
Implicit Differentiation
Fundamental Th. of Calculus
The Definite Integrals
Area between Curves
Initial Value Problems
Integration with Partial Fractions
Average Value of a Function
(NEW) Sınav Provası V: Fall 2024 Final Exam
4 soru
Extremum Values & Concavity & Inflection Points
Fundamental Theorem of Calculus
Mean Value Theorem & Area Between Curves
Integration Techniques
(NEW) General Review Problems Part I
19 soru
Absolute Maximum and Minimum
Absolute Maximum and Minimum
Relative (Local) Extrema
Curve Sketching
Curve Sketching
Linear Approximation
Linear Approximation
Linear Approximation
Extreme Value Problems
Extreme Value Problems
L'Hopital's Rule
L'Hopital's Rule
L'Hopital's Rule
L'Hopital's Rule
L'Hopital's Rule
L'Hopital's Rule
L'Hopital's Rule
L'Hopital's Rule
L'Hopital's Rule
(NEW) General Review Problems Part II
24 soru
Fundamental Theorem of Calculus
Fundamental Theorem of Calculus
Fundamental Theorem of Calculus
FTC & Chain Rule
FTC & L'Hopital's Rule
FTC & L'Hopital's Rule
FTC & L'Hopital's Rule
FTC & L'Hopital's Rule
FTC & L'Hopital's Rule
Linear Approximation & FTC
Linear Approximation & FTC
Area between Curves
Area Between Curves
Area between Curves
Area between Curves
Area Between Curves
Average Value by Integral
Integration Techniques
Integration Techniques (By Part, Partial Fractions)
Improper Integral
Improper Integral
Improper Integral
Improper Integrals
Improper Integrals