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 kitaptaki ödev sorularının çözümleriyle öğrenecek, sonrasında son 10 yılın tüm çıkmış sınav sorularıyla antreman yapabileceksin.
Bu dersimizde sunduğumuz içerikler sırasıyla: 1)Calculus Preliminaries 2)Limits of functions and Squeeze Theorem 3)Limits at Infinity and Infinite Limits 4)Domain and Range of Functions 5)Asymptotes 6)Limits of Trigonometric Functions 7)Continuity and Intermediate Value Theorem 8)Limit Definition of Derivative 9)Differentiability 10)Differentiation Rules 11)Chain Rule 12)Geometric Definition of Derivative
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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.
Gürkan Hoca
Öğr. Üy.
Orta Doğu Tekn. Üni.'den derece ile mezun olduktan sonra yüksek lisans ve doktora çalışmalarımı da yurt dışında tamamladım. Ardından aynı üniversitede öğretim üyesi olarak görev yaptım. Üniversite öğrencisi olmanın ne demek olduğunu unutmayarak, dersleri öğrencilerimin gözünden anlatmanın ve onlara özel anlama yolları geliştirmenin önemini çok iyi biliyorum. Öğretmenin aslında bir "sanat" olduğunu biliyorum ve bu sanatı sizlere gösterebilmek için buradayım.
Ömer Faruk Altun
Co-founder & Head of Education
2011 yılında Endüstri Mühendisliği okumak için başladığım Sabancı Üniversitesi'nden 2018 yılında Bilgisayar Mühendisi olarak mezun oldum. 13 yıldır Altun ismiyle başta Sabancı Üniversitesi olmak üzere çeşitli okullarda Endüstri ve Bilgisayar Mühendisliği alanlarında ders vermekteyim. Unicourse'ta sunduğum derslerin yanında eğitim departmanının da sorumluluğunu üstlenmekteyim.
Konular
Functions (Domain, Composite, Inverse)
7 konu anlatımı
Domain of Functions
Domain of Exponential & Logarithms
Even and Odd Functions
The Vertical & Horizontal Line Tests
Composite Functions
Inverse of Functions
Inverse Trigonometric Functions
Graph of Functions (Shifting & Scaling)
8 konu anlatımı · 7 soru
Graphing Operations
Functions Graphing 1
Functions Graphing 2
Functions Graphing 3
Graph of Logarithmic Functions 1
Graph of Logarithmic Functions 2
Graph of Exponential Functions 1
Graph of Exponential Functions 2
Exam like Question 1
Exam like Question 2
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Exam like Question 4
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Exam like Question 6
Exam like Question 7
Limits of Functions
3 konu anlatımı · 8 soru
Limits of Functions
Limits with Absolute Value
Limits Rules
Exam-like Questions 1
Exam-like Questions 2
Exam-like Questions 3
Exam like Question 4
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Exam like Question 8
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 · 11 soru
Limits at Infinity I
Limits at Infinity II
Limits at Infinity III
Infinite Limits
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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
Limits of Trigonometric Functions
3 konu anlatımı · 4 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
Continuity and Discontinuity
2 konu anlatımı · 10 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
Exam like Question 1
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Exam like Question 3
Exam like Question 4
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Exam like Question 6
Exam like Question 7
The Limit Definition of Derivatives
4 konu anlatımı · 7 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
Differentiability
1 konu anlatımı · 5 soru
Differentiability (with Limit Definition)
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Bonus Challenging Problem
Differentiation Rules (Product, Quotient, Exponential)
5 konu anlatımı · 13 soru
Power Rule
Higher Order Derivative
Derivatives of Exponentials
Product Rule
Quotient Rule
Exam like Question 1
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Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
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Exam like Question 11
Exam like Question 12
Bonus: Differentiation Rules Mixed Problems
Equation of a Tangent Line
2 konu anlatımı · 5 soru
Equation of a Tangent Line
Horizontal and Vertical Tangent
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Past Exam Problems (Konu Sırasıyla)
42 soru
Spring 2022 Exam: Graphing Operations (Shifting & Scaling)
Fall 2021 Exam: Graphing Operations (Shifting & Scaling)
Spring 2017 Exam: Graphing Operations (Shifting & Scaling)
Fall 2022 Exam: Limits of Functions by Graph
Fall 2021 Exam: Limits of Functions by Graph
Spring 2022 Exam: Limits of Functions by Graph
Spring 2019 Exam: Limits of Functions by Graph
Fall 2018 Exam: Limits of Functions by Graph
Fall 2019 Exam: Limits of Functions by Graph
Fall 2022 Exam: Limits without L'Hopital's
Fall 2022 Exam: Limits without L'Hopital's Rule
Fall 2021 Exam: Limits without L'Hopital's
Spring 2022 Exam: Limit without L'Hopital's
Fall 2022 Exam: The Squeeze Theorem
Fall 2021 Exam: The Squeeze Theorem
Spring 2022 Exam: The Squeeze Theorem
Fall 2018 Exam: Limit with Absolute Value
Fall 2021 Exam: Infinite Limits
Spring 2022 Exam: Infinite Limits
Spring 2017 Exam: Limits at Infinity
Fall 2022 Exam: Asymptotes
Spring 2022 Exam: Asymptotes
Fall 2021 Exam: Domain & Asymptotes & Inverse Function
Fall 2021 Exam: Continuity
Spring 2019 Exam: Continuity
Fall 2019 Exam: Continuity
Spring 2019 Exam: Intermediate Value Theorem
Fall 2021 Exam: Intermediate Value Theorem
Fall 2021 Exam: Limit Definition of Derivative
Fall 2022 Exam: Limit Definition of Derivative
Spring 2022 Exam: "Hidden" Limit Definition of Derivative
Fall 2022 Exam: Limit Definition of Derivative
Fall 2021 Exam: Differentiation Rules
Spring 2019 Exam: Equation of a Tangent Line
Fall 2021 Exam: Equation of a Tangent Line
Fall 2021 Exam: True - False Question
Fall 2021 Exam: True - False Question
Fall 2022 Exam: True - False Question
Fall 2022 Exam: True - False Question
Spring 2019 Exam: True - False Question
Spring 2017 Exam: True - False Question
Spring 2017 Exam: True - False Question
Sınav Provası I: Spring 2024 Exam
5 soru
Domain, Range and Inverse
Limit at Infinity
Limit at Infinity & Squeeze Theorem
Continuity
Asmyptotes
Sınav Provası II: Fall 2023 Exam
6 soru
Domain, Range and Inverse
Graphing Operations (Shifting & Scaling)
Asmyptotes
Limit Definition of Derivative
Differentiation Rules
Equation of a Tangent Line
(NEW) Sınav Provası III: Fall 2024 Exam
9 soru
Limit without L'Hopital's
The Squeeze Theorem
Infinite Limits
Asymptotes
Limit and Graph of a Function
Continuity
Intermediate Value Theorem
Limit Definition of Derivative
Differentiation Rules
(NEW) Sınav Provası IV: Spring 2025 Exam
7 soru
Graph of Functions (Shifting & Scaling)
Limits & Continuity Graphs
Continuity
Asymptotes
Domain and Inverse
Limit Definition of Derivative
Theory: True-False Problems
(NEW) Sınav Provası V: Fall 2025 Exam
5 soru
Limit Rules
Domain and Asymptotes
Derivative of Functions
Inverse Function
Continuity
The Limit Definition of Derivatives
4 konu anlatımı · 6 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
Differentiability
2 konu anlatımı · 7 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
Differentiation Rules
5 konu anlatımı · 15 soru
Power Rule & Higher Order Derivative
Derivatives of Exponential & Logarithmic Functions
Product Rule
Quotient Rule
Derivatives of Trigonometric Functions
Exam like Question 1
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Exam like Question 4
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Exam like Question 15
The Chain Rule
3 konu anlatımı · 12 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
Exam-like Question 8
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Exam like Question 11
Exam like Question 12
Equation of a Tangent Line
3 konu anlatımı · 8 soru
Equation of a Tangent Line I
Equation of a Tangent Line II
Horizontal and Vertical Tangent
Exam like Question 1
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Exam like Question 3
Exam like Question 4
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Exam like Question 6
Exam like Question 7
Exam like Question 8
Derivative of Inverse
1 konu anlatımı · 4 soru
Derivative of Inverse
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Derivative of Inverse Trig. Functions
2 konu anlatımı · 7 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 Differentiation
3 konu anlatımı · 6 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
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
Maxima and Minima
1 konu anlatımı · 4 soru
Absolute Maximum & Minimum
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
First Derivative Test & Concavity
2 konu anlatımı · 6 soru
First Derivative Test & Extremum Values
Second Derivative & Concavity
Exam like Question 1
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Exam like Question 3
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Exam like Question 6
Function Sketching
3 konu anlatımı · 2 soru
Function Sketching 1
Function Sketching 2
Function Sketching 3
Exam like Question 1
Exam like Question 2
Optimization Problems
4 konu anlatımı · 4 soru
Optimization Problems I
Optimization Problems II
Optimization Problems III
Optimization Problems IV
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Exam like Question 4
Related Rates
2 konu anlatımı · 2 soru
Related Rates I
Related Rates II
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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
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Exam like Question 12
Linear Approximation (Linearization)
1 konu anlatımı · 5 soru
Linear Approximation
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Exam like Question 4
Exam like Question 5
Indeterminate Forms (L'Hopital's Rule)
7 konu anlatımı · 17 soru
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 ^ ∞)
Exam like Question 1
Exam like Question 2-3
Exam like Question 4
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Exam like Question 6
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Exam like Question 12
Exam like Question 13
Exam like Question 14
Exam like Question 15
Exam like Question 16
Exam like Question 17
Exam like Question 18
Past Exams & Sample Midterm Problems Part I
24 soru
Differentiability
Fall 2019 Exam: Differentiability
Spring 2022 Exam: Differentiability
Differentiation Rules
Spring 2022 Exam: Differentiation Rules
Fall 2022 Exam: Differentiation Rules
Spring 2022 Exam: Differentiation Rules
Fall 2021 Exam: Differentiation Rules
Fall 2021 Exam: Equation of a Tangent Line
Fall 2022 Exam: Equation of a Tangent Line
Horizontal Tangent Lines
Horizontal Tangent Lines
Fall 2021 Exam: Horizontal Tangent Lines
Implicit Differentiation & Tangent Line
Fall 2022 Exam: Implicit Differentiation & Tangent Line
Fall 2019 Exam: Implicit Differentiation
Spring 2025 Exam: Implicit Differentiation
Implicit Differentiation & Tangent Line
Implicit Differentiation & Tangent Line
Implicit Differentiation & Tangent Line
Spring 2024 Exam: Implicit Differentiation and Tangent Line
Fall 2022 Exam: Extreme Values
Fall 2021 Exam: Extreme Values
Spring 2017: Extreme Values
Past Exams & Sample Midterm Problems Part II
14 soru
Theory Problem 1-2 (Spring 2022)
Theory Problem 3
Theory Problem 4-5 (Spring 2022)
Theory Problem 6
Theory Problem 7-8 (Spring 2018)
Theory Problem 9 (Fall 2019)
Theory Problem 10 (Fall 2022)
Theory Problem 11 (Spring 2018)
Theory Problem 12
Theory Problem 13
Theory Problem 14
Theory Problem 15 (Fall 2019)
Theory Problem 16 (Spring 2018)
Theory Problem 17
Past Exams & Sample Midterm Problems Part III
33 soru
Linear Approximation (Fall 2019)
Linear Approximation
Linear Approximation
Linear Approximation (Fall 2021)
L’Hopital’s Rule 1
L'Hopital's Rule 2
L’Hopital’s Rule 3
L'Hopital's Rule 4
L’Hopital’s Rule 5
L’Hopital’s Rule 6
L'Hopital's Rule 7
L’Hopital’s Rule 8
L'Hopital's Rule 9
L'Hopital's Rule 10
L'Hopital's Rule 11
L'Hopital's Rule 12
L'Hopital's Rule 13
L'Hopital's Rule 14
L'Hopital's Rule 15
L'Hopital's Rule 16
L'Hopital's Rule 17
L'Hopital's Rule 18
L'Hopital's Rule 19
L'Hopital's Rule 20
Spring 2025: L'Hopital's Rule
Spring 2022: L'Hopital's rule
Spring 2022: L'Hopital's rule
The Mean Value Theorem 1
The Mean Value Theorem 2
The Mean Value Theorem 3
The Mean Value Theorem 4
The Mean Value Theorem 5
The Mean Value Theorem 6
(NEW) Spring 2024 Exam Problems
5 soru
Derivative of a Function
Derivative of a Function
Tangent Line and Linear Approximation
Absolute Extrema: Closed Interval
Extreme Values
Anti-Derivative & Integration
5 konu anlatımı
Anti-derivative 1
Anti-derivative 2
Integral of Trigonometric Functions 1
Integral of Trigonometric Functions 2
Integral of Exponential Functions
Integration with Substitution
6 konu anlatımı
Integration with Substitution 1
Integration with Substitution 2
Integration with Substitution 3
Integration with Substitution 4
Integration with Substitution 5
Integration with Substitution 6
Riemann Sum
4 konu anlatımı
Riemann Sum 1
Riemann Sum 2
Riemann Sum 3
Riemann Sum 4
Properties of Integration
1 konu anlatımı · 3 soru
Properties of Integration
Exam like Question 1
Exam like Question 2
Exam like Question 3
Trigonometric Substitution
3 konu anlatımı
Inverse Trigonometric Substitution I
Inverse Trigonometric Substitution II
Inverse 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
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
Fundamental Theorem of Calculus
5 konu anlatımı
Fundamental Theorem of Calculus 1
Fundamental Theorem of Calculus 2
Fundamental Theorem of Calculus - Area Perspective
Extremum with Fundamental Theorem of Calculus
FTC and L'Hospital's Rule
Average Value of a Function
1 konu anlatımı · 6 soru
Average Value of a Function
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
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
Sample Final Part I
37 soru
Integration Rules 1
Integration Rules 2
Integration Rules 3
Integration Rules 4
Integration Rules 5
Integration Rules 6
Substitution Method 1-2
Substitution Method 3-4-5
Substitution Method 6
Substitution Method 7-8
Substitution Method 9-10
Substitution Method 11-12
Substitution Method 13
Substitution Method 14
Substitution Method 15
Substitution Method 16
Substitution Method 17
Substitution Method 18
Substitution Method 19
Substitution Method 20
Substitution Method 21
Substitution Method 22
Substitution Method 23
Substitution Method 24
Substitution Method 25
Substitution Method 26
Properties of Integration 1
Properties of Integration 2
Properties of Integration 3
Properties of Integration 4
Properties of Integration 5
Properties of Integration 6
Properties of Integration 7
Properties of Integration 8
Bonus: Properties of Integration
Riemann Sum 1
Riemann Sum 2
Sample Final Part II
51 soru
Fundamental Th. of Calculus 1
Fundamental Th. of Calculus 2
Fundamental Th. of Calculus 3
Fundamental Th. of Calculus 4
Fundamental Th. of Calculus 5
Fundamental Th. of Calculus 6
Fundamental Th. of Calculus 7
FTC & Equation of a Tangent Line
Linear Approximation
FTC & Linear Approximation
FTC & Linear Approximation
FTC & Extreme Values
FTC & Extreme Values
FTC & Area Calculation
FTC & Area Calculation
Area 1
Area 2
Area 3
Area 4
Area 5
Area 6
Area 7
Area 8
Area 9
Area 10
Area 11
Area 12
Area 13
Area 14
Area 15
Area 16
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
Bonus: Integration by Part
Kesirlere Ayırma 1
Kesirlere Ayırma 2
Kesirlere Ayırma 3
Kesirlere Ayırma 4
Kesirlere Ayırma 5
Kesirlere Ayırma 6
Kesirlere Ayırma 7
Inverse Substitution 1
Inverse Substitution 2
Inverse Substitution 3
Inverse Substitution 4
Inverse Substitution 5
Sample Final Part III
16 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 Integrals (Fall 2022)
Improper Integrals (Fall 2022)
Improper Integrals (Spring 2023)
Bonus
(NEW) Spring 2024 Exam Problems
4 soru
Implicit Differentiation and Tangent Line
Integral - Direct Substitution and Partial Fractions
Integral and Integration By Parts
Improper Integral
(NEW) Spring 2025 Exam
7 soru
Implicit Differentiation
Indeterminate Forms (L'Hopital's Rule)
Extreme Values & Concavity
Properties & Area by Integration
Area between Curves
Integration with Substitution & By Part
Theory Problems: True-False
(NEW) Extra Past Final Exam Problems
12 soru
Spring 2022: Implicit Differentiation
Fall 2019: FTC & Linear Approximation
Fall 2022: Fundamental Th. of Calculus & Linear Approximation
Fall 2019: Fundamental Th. of Calculus & Extreme Values
Spring 2022: FTC & Extreme Values
Spring 2022: L'Hopital's rule
Spring 2022: L'Hopital's rule
Spring 2022: Properties of Integration
Fall 2022: Area Between Curves
Spring 2022: Integration by Part
Spring 2022: Partial Fractions & Substitution
Fall 2022: Improper Integrals