MATH 103 • Tüm Sınavlar • Calculus for Engineering I
Özyeğin biz geldik! Calculus dersi düşündüğün kadar zor değil, yalnızca bazı püf noktaları öğrenmen gerek! Biliyoruz; Squeeze Theorem, Intermediate Value Theorem, Limit Definition of Derivative, Differentiability, Implicit and Logarithmic Differentiation, Linearization, Geometric Definition of Derivative gibi konular, ilk bakışta kafa karıştırıyor.
İşte bu yüzden, Matematiksel teoremleri ve matematiksel ispatları kullanmayı öğrenceğin bu ilk lisans dersinde bolca örnek çözmeli ve bunları tecrübeli bir hocanın çözümleriyle karşılaştırmalısın. İlk olarak, ders kitabının bölüm sonundaki en önemli soruları ve ödev sorularını konu anlatım videolarımızla 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.
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.
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, Composite, Inverse, Exponential)
8 konu anlatımı
Domain of Functions
Domain of Exponential & Logarithms
Even and Odd Functions
The Vertical & Horizontal Line Tests
Composite Functions
Inverse of Functions
Inverse of Exponential & Logarithms
Inverse Trigonometric Functions
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 Questions 4
Exam-like Questions 5
Exam-like Questions 6
Exam like Question 7
Exam like Question 8
The Squeeze (or Sandwich) 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 · 10 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
Exam like Question 6
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam like Question 10
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
Asymptotes
2 konu anlatımı · 2 soru
Vertical and Horizontal Asymptotes
Oblique Asymptotes
Exam like Question 1
Exam like Question 2
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 · 5 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
The Limit Definition of Derivatives
4 konu anlatımı · 4 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
Differentiability
2 konu anlatımı · 4 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
Differentiation Rules (Product, Quotient, Exponential)
5 konu anlatımı · 10 soru
Power Rule
Higher Order Derivative
Derivatives of Exponentials
Product Rule
Quotient 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
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam like Question 10
Derivative of Trigonometric Functions
1 konu anlatımı · 5 soru
Derivatives of Trigonometric Functions
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
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
Exam like Question 9
Exam like Question 10
Exam like Question 11
Exam like Question 12
Tangent Line Equations
4 konu anlatımı · 6 soru
Equation of a Tangent Line I
Equation of a Tangent Line II
Horizontal and Vertical Tangent
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Challenging: Tangent Line Passes through a Point
Past Exams & General Review Problems
41 soru
Domain, Range and Inverse
Domain, Range and Inverse
Domain, Range and Inverse
Domain, Range and Inverse
Fall 2022 Exam: Inverse of Functions
Fall 2018 Exam: Limits of Functions
Fall 2018 Exam: Limits with Absolute Value
Limit with Absolute Value
Fall 2019 Exam: The Sandwich Theorem
Fall 2022 Exam: The Sandwich Theorem
Limits at Infinity
Fall 2018 Exam: Limits at Infinity
Fall 2017 Exam: Limits of Trigonometric Functions
Limit of Functions (Mixed)
Limit of Functions (Mixed)
Fall 2022 Exam: Asymptotes
Continuity
Fall 2017 Exam: Discontinuity
Fall 2018 Exam: Discontinuity
Intermediate Value Theorem
Intermediate Value Theorem
Intermediate Value Theorem
Limit Definition of Derivative
Limit Definition of Derivative
Limit Definition of Derivative
Differentiability
Differentiability
Equation of a Tangent Line
Equation of a Tangent Line
Equation of a Tangent Line
Equation of a Tangent Line
Derivative of Exponentials
Derivative of Logarithms and Exponentials
Derivative of Logarithms and Exponentials
The Chain Rule
The Chain Rule
The Chain Rule
The Chain Rule
Fall 2019 Exam: The Chain Rule
Fall 2018 Exam: The Chain Rule
Fall 2022 Exam: The Chain Rule
Sınav Provası 1: Fall 2021 Midterm Exam
12 soru
Inverse of a Function
Domain of Exponential Functions
Limits of Functions
The Sandwich Theorem
Limits at Infinity
Limits with Absolute Value
Intermediate Value Theorem
Continuity
The Chain Rule
Linearization
Implicit Differentiation & Equation of Normal Line
Absolute Extrema On a Closed Interval
Sınav Provası 2: Spring 2022 Midterm Exam
10 soru
Inverse of a Function
Limits of Functions
Limits of Trigonometric Functions
Asymptotes
Continuity and Differentiability
Limit Definition of Derivative
Normal Line Equation
Horizontal Tangent Line
The Chain Rule
Implicit Differentiation
Sınav Provası 3: Spring 2023 Midterm Exam
10 soru
Inverse of a Function
Limits of Functions
Limits of Functions
Asymptotes
Intermediate Value Theorem
Limit Definition of Derivative
Chain Rule
Implicit Differentiation
Logarithmic Differentiation
Linearization
Sınav Provası 4: Fall 2023 Midterm Exam
6 soru
Domain, Range, Composite and Inverse
Limit of Functions (Mixed)
Continuity and Discontinuity
Chain Rule
Linearization
Implicit Differentiation
(NEW) Sınav Provası 5: Fall 2024 Midterm Exam
8 soru
Limits
Continuity and Differentiability
Intermediate Value Theorem
Differentiation with Limit Definition
Differentiation Rules
Implicit Differentiation & Tangent Line
Linearization
Derivative of Trigonometric Functions
Implicit Differentiation
3 konu anlatımı · 8 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
Exam like Question 7
Exam like Question 8
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 Function
1 konu anlatımı · 5 soru
Derivative of Inverse
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Derivative of Inverse Trigonometric Functions
2 konu anlatımı · 10 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 & Inverse Trigonometric Functions I
Implicit & Inverse Trigonometric Functions II
Implicit & Inverse Trigonometric Functions III
Linearization
1 konu anlatımı · 6 soru
Linear Approximation
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Extreme Values and Critical Points
1 konu anlatımı · 5 soru
Critical Points, Absolute Maximum & Minimum
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
First Derivative Test & Concavity
2 konu anlatımı · 7 soru
First Derivative Test & Extremum Values
Second Derivative & Concavity
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
Curve Sketching
3 konu anlatımı · 3 soru
Curve Sketching I
Curve Sketching II
Curve Sketching III
Exam like Question 1
Exam like Question 2
Exam like Question 3
The Mean Value Theorem
4 konu anlatımı · 9 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
Indeterminate Forms and L’Hôpital’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
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
Exam like Question 13
Exam like Question 14
Exam like Question 15
Exam like Question 16
Exam like Question 17
Exam like Question 18
Anti-Derivative
5 konu anlatımı · 4 soru
Integration Rules I
Integration Rules II
Integral of Trigonometric Functions I
Integral of Trigonometric Functions II
Integral of Exponential Functions
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Past Exams & Sample Exam Part I
13 soru
Logarithmic Differentiation 1
Logarithmic Differentiation 2
Logarithmic Differentiation 3
Implicit Differentiation 1 (Fall 2018)
Implicit Differentiation 2
Implicit Differentiation 3
Implicit Differentiation 4
Implicit Differentiation (Fall 2021)
Linearization (Fall 2021)
Linearization 2
Linearization 3
Linearization 4
Linearization 5 (Fall 2018)
Past Exams & Sample Exam Part II
12 soru
Extreme Values 1
Extreme Values 2
Extreme Values 3 (Fall 2023)
First Derivative Test & Concavity 1
First Derivative Test & Concavity 2
First Derivative Test & Concavity 3
First Derivative Test & Concavity 4
Curve Sketching 1
Curve Sketching 2
Curve Sketching 3 (Fall 2021)
Curve Sketching 4
Curve Sketching (Fall 2019)
Past Exams & Sample Exam Part III
30 soru
L’Hopital’s Rule 1
L'Hopital's Rule 2 (Fall 2021)
L’Hopital’s Rule 3
L'Hopital's Rule 4
L’Hopital’s Rule 5
L’Hopital’s Rule 6 (Fall 2019)
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 (Fall 2021)
L'Hopital's Rule 19
L'Hopital's Rule 20
Mean Value Theorem 1
Mean Value Theorem 2
Mean Value Theorem 3
Mean Value Theorem 4
Mean Value Theorem 5
Mean Value Theorem 6
Mean Value Theorem 7 (Fall 2019)
Mean Value Theorem 8
Mean Value Theorem 9
Mean Value Theorem 10 (Fall 2018)
Antiderivatives
5 konu anlatımı · 3 soru
Integration Rules I
Integration Rules II
Integral of Trigonometric Functions I
Integral of Trigonometric Functions II
Integral of Exponential Functions
Exam like Question 1
Exam like Question 2
Exam like Question 3
Integration with Substitution
7 konu anlatımı · 8 soru
Integration with Substitution
Substitution with Logarithms & Exponentials I
Substitution with Logarithms & Exponentials II
Substitution with Trigonometric Functions I
Substitution with Trigonometric Functions II
Substitution with Trigonometric Functions III
Substitution with Trigonometric Functions 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
The Definite Integrals
3 konu anlatımı · 5 soru
Riemann Sum
Definite Integrals & Properties I
Definite Integrals & Properties II
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Fundamental Theorem of Calculus
3 konu anlatımı · 7 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
Exam like Question 7
Average Value of a Function
1 konu anlatımı · 2 soru
Average Value of a Function
Exam like Question 1
Exam like Question 2
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
Integration by Parts
6 konu anlatımı · 6 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
Integration by Partial Fractions
2 konu anlatımı · 5 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
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
Volumes Using Cross-Sections
4 konu anlatımı
Volume by Integrals I
Volume by Integrals II
Volume by Integrals III
Volume by Integrals IV
Arc Length
1 konu anlatımı
Arc Length Calculation
Past Final Exam Problems
30 soru
Spring 2021 Exam: Fundamental Theorem of Calculus
Fall 2018 Exam: Fundamental Theorem of Calculus
Fall 2018 Exam: Fundamental Theorem of Calculus
Spring 2019 Exam: FTC & Linearization
Fall 2019 Exam: FTC & Linearization
Spring 2019 Exam: Integration with Substitution
Fall 2019 Exam: Integration with Substitution
Spring 2019 Exam: Integration with Substitution
Fall 2018 Final: Integration with Substitution
Fall 2018 Final: Properties of Integrals
Average Value by Integral
Fall 2019 Exam: Average Value by Integral
Fall 2019 Exam: Integration by Part
Spring 2019 Exam: Integration by Part
Fall 2019 Exam: Partial Fractions
Fall 2018 Final: Area between Curves
Fall 2018 Exam: Area between Curves
Fall 2018 Exam: Arc Length
Spring 2019 Exam: Arc Length and FTC
Fall 2018 Exam: Improper Integrals
Spring 2019 Exam: Improper Integral
Spring 2019 Exam: Improper Integral
Spring 2021 Final: Improper Integrals
Fall 2019 Exam: Improper Integral
Fall 2018 Exam: Comparison Test & Improper Integral
Spring 2019 Exam: Comparison Test & Improper Integral
Fall 2019 Exam: Comparison Test & Improper Integral
Spring 2021 Exam: Volume by Integrals
Fall 2019 Exam: Volume by Integrals
Fall 2017 Exam: Volume by Integration
Sınav Provası I: Summer 2021 Final Exam
6 soru
Mean Value Theorem
Curve Sketching
Fundamental Theorem of Calculus
Area Between Curves
Improper Integrals
Volume Using Cross-Sections
Sınav Provası II: Fall 2022 Final Exam
12 soru
Curve Sketching
Absolute Maximum and Minimum
FTC & L'Hopital's Rule
L'Hopital's Rule
Area between Curves
Integration with Substitution
Integration by Part
Partial Fractions
Arc Length
Volume Using Cross-Sections
Improper Integrals
Comparison Test: Improper Integrals
Sınav Provası III: Fall 2021 Final Exam
11 soru
Curve Sketching
L'Hopital's Rule
L'Hopital's Rule
Antiderivative
Fundamental Theorem of Calculus
Area between Curves
Arc Length
Integration by Part
Partial Fractions
Volume & Improper Integrals
Improper Integrals
Sınav Provası IV: Spring 2022 Final Exam
10 soru
Absolute and Local Extremas
Curve Sketching
L'Hopital's Rule
Area between Curves
FTC and Arc Length
Integration with Substitution
Integration by Part
Volume by Integrals
Improper Integrals
Comparison Test: Improper Integrals
(NEW) Sınav Provası V: Fall 2024 Final Exam
12 soru
The Mean Value Theorem
Curve Sketching
L'Hôpital's Rule 1
L'Hopital's Rule 2
Fundamental Theorem of Calculus 1
Fundamental Theorem of Calculus 2
Area Between Curves
Integration Techniques 1
Integration Techniques 2
Volume Using Cross-Sections
Improper Integrals 1
Improper Integrals 2