MATH 169 • Tüm Sınavlar • Calculus for Scientists and Engineers I
Calculus dersi düşündüğün kadar zor değil! Biliyoruz; Squeeze Theorem, Asymptotes, Intermediate Value Theorem, Mean Value Theorem, Implicit Differentiation, First Derivative Test gibi konular, ilk bakışta kafa karıştırıyor.
İşte bu yüzden, 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 tüm 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.
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, Range, Composite, Inverse)
7 konu anlatımı
Domain of Functions
Domain of Exponential & Logarithms
Even and Odd Functions
Composite Functions
Inverse of Functions
Inverse of Exponential & Logarithms
Inverse Trigonometric Functions
Limits of Functions
3 konu anlatımı · 11 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 Question 5
Exam like Question 6
Exam-like Questions 7
Exam like Question 8
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Exam like Question 10
Exam like Question 11
The Squeeze Theorem
1 konu anlatımı · 4 soru
The Squeeze (Sandwich) Theorem
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
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
Exam like Question 1
Exam like Question 2
Limits of Trigonometric Functions
3 konu anlatımı · 6 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
Exam like Question 6
Continuity and Discontinuity
2 konu anlatımı · 8 soru
Continuity
Discontinuity and Continuous Extension
Exam like Question 1
Exam like Question 2
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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 · 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 · 5 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
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
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
Exam like Question 13
Exam like Question 14
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
Exam like Question 9
Exam like Question 10
Exam like Question 11
Exam like Question 12
Equation of a Tangent Line
4 konu anlatımı · 13 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
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam like Question 10
Exam like Question 11
Tangent Line Passes through a Point
Exam like Question 12
Exam like Question 13
Implicit Differentiation
3 konu anlatımı · 7 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
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
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
Derivative of Inverse
1 konu anlatımı · 3 soru
Derivative of Inverse
Exam like Question 1
Exam like Question 2
Exam like Question 3
Derivative of Inverse Trigonometric Functions
2 konu anlatımı · 9 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
Exam like Question 9
Exam like Question 10
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
(NEW) Sınav Provası: Fall 2024 Midterm Exam
12 soru
Limit of Functions
Limits of Trigonometric Functions
Limits at Infinity
Infinite Limits
Formal Definition of Limit
Limit Definition of Derivative
Differentiability
The Chain Rule
Implicit Differentiation & Tangent Line
Implicit Differentiation
Derivative of Inverse Trigonometric Functions
Logarithmic & Implicit Differentiation
Extreme Values
3 konu anlatımı · 6 soru
Absolute Extremums
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
Curve Sketching
4 konu anlatımı
Curve Sketching 1
Curve Sketching 2
Curve Sketching 3
Curve Sketching 4
L'Hopital's Rule
2 konu anlatımı · 5 soru
Indeterminate Form 1 (0/0)
Indeterminate Form 2 (∞/∞)
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
The Related Rates Problems
3 konu anlatımı · 1 soru
Related Rates 1
Related Rates 2
Related Rates 3
Related Rates 4
(NEW) Final Exam Practice Part I
11 soru
Absolute Maximum and Minimum
Absolute Maximum and Minimum
Absolute Maximum and Minimum
Extremum Values and Concavity
Extreme Values and Concavity
Extreme Values and Concavity
Curve Sketching 1
Curve Sketching 2
Curve Sketching 3
Curve Sketching 4
Challenging: Extreme Values and Concavity
Integration Rules
5 konu anlatımı · 2 soru
Anti-derivative 1
Anti-derivative 2
Integral of Trigonometric Functions 1
Integral of Trigonometric Functions 2
Integral of Exponential Functions
Exam like Question 1
Exam like Question 2
Riemann Sum
5 konu anlatımı · 7 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
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Properties of Integration
1 konu anlatımı · 4 soru
Properties of Integration
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Fundamental Theorem of Calculus
5 konu anlatımı · 1 soru
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
Exam like Question 1-2-3
Integration with Substitution
4 konu anlatımı · 5 soru
Integration with Substitution 1
Integration with Substitution 2
Integration with Substitution 3
Integration with Substitution 4
Exam like Question 1-2
Exam like Question 3-4-5
Exam like Question 6-7
Exam like Question 8
Exam like Question 9
Trigonometric Integrals
4 konu anlatımı
Trigonometric Integrals 1
Trigonometric Integrals 2
Trigonometric Integrals 3
Trigonometric Integrals 4
Area between Curves
5 konu anlatımı · 8 soru
Area and Integral
Area between Curves I
Area between Curves II
Area between Curves III
Area between Curves 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
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
Trigonometric Substitution
3 konu anlatımı
Trigonometric Susbtitution 1
Trigonometric Susbtitution 2
Trigonometric Susbtitution 3
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
Improper Integrals
5 konu anlatımı · 9 soru
Intuition of Improper Integrals
Convergence of Improper Integrals
P test for Improper Integrals
Direct Comparison Test 1
Direct Comparison Test 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
Exam like Question 7
Exam like Question 8
Exam like Question 9
Final Exam Practice Part II
54 soru
Fundamental Th. of Calculus
Fundamental Th. of Calculus
Fundamental Th. of Calculus
Fundamental Th. of Calculus
Fundamental Th. of Calculus
Fundamental Th. of Calculus
Fundamental Th. of Calculus
Fundamental Th. of Calculus
Fundamental Th. of Calculus
FTC & Equation of a Tangent Line
FTC and L'Hospital's Rule
FTC and L'Hospital's Rule
FTC and L'Hospital's Rule
The Substitution Rule 1-2
The Substitution Rule 3
The Substitution Rule 4
The Substitution Rule 5-6
The Substitution Rule 7
The Substitution Rule 8-9
The Substitution Rule 10
The Substitution Rule 11
The Substitution Rule 12
The Substitution Rule 13
The Substitution Rule 14
The Substitution Rule 15
The Substitution Rule 16
The Substitution Rule 17
The Substitution Rule 18
The Substitution Rule 19
The Substitution Rule 20
Integration By Part
Integration by Part
Integration by Part
Integration by Part
Integration by Part
Integration by Part
Integration by Part
Integration by Part
Partial Fractions 1 (Kesirlere Ayırma)
Partial Fractions 2 (Kesirlere Ayırma)
Partial Fractions 3 (Kesirlere Ayırma)
Partial Fractions 4 (Kesirlere Ayırma)
Partial Fractions 5 (Kesirlere Ayırma)
Bonus: Integration by Part & Fractions
Trigonometric Integrals
Inverse Substitution
Inverse Substitution
Inverse Substitution
Inverse Substitution
Inverse Substitution
Inverse Substitution
Inverse Substitution
Improper Integral
Improper Integral
Fall 2018 Final Exam Problems
8 soru
Problem 1: Integration with Substitution
Problem 2: Partial Fractions
Problem 3: Integration by Part
Problem 4: Integration with Substitution
Problem 5: Trigonometric Integrals
Problem 6: Improper Integrals
Problem 7: Area between Curves
Problem 8: Volume by Integration
Fall 2021 Final Exam Problems
8 soru
Fundamental Theorem of Calculus
Fundamental Theorem of Calculus
Integration with Substitution
Area and Volume by Integration
Riemann Sum
Trigonometric Integrals
Integration by Part
Improper Integrals
Fall 2022 Final Exam Problems
9 soru
Fundamental Theorem of Calculus
Integration with Substitution
Integration with Substitution
Integration by Part
Trigonometric Integrals
Trigonometric Integrals
Trigonometric Substitution
Area Between Curves
Improper Integrals
(NEW) Fall 2023 Final Exam Problems
5 soru
Trigonometric Substitution
Trigonometric Integrals
Trigonometric Integrals
Partial Fractions
Area and Volume by Integration