MATH 101 • Tüm Sınavlar • Calculus I
TED Üniversitesi MATH 101 (Calculus I) Midterm I sınavına hazırlık paketi.
İşlenen konular: Functions (Domain-Composite-Inverse), Graph of Functions (Shifting & Scaling), Limits of Functions, The Squeeze (Sandwich) Theorem, Limits at Infinity and Infinite Limits, Asymptotes, Limits of Trigonometric Functions, Continuity and Discontinuity, Intermediate Value Theorem, The Limit Definition of Derivatives, Differentiability, Differentiation Rules (Product, Quotient, Exponential), Higher Order Differentiation, Derivative of Trigonometric Functions, The Chain Rule.
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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.
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 of Exponential & Logarithms
Graph of Functions (Shifting & Scaling)
6 konu anlatımı · 9 soru
Graph of Functions (Shifting & Scaling)
Graph of Functions I
Graph of Functions II
Graph of Functions III
Graph of Exponential Functions
Graph of Logarithmic Functions
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Limits of Functions
3 konu anlatımı · 10 soru
Limits of Functions
Limits with Absolute Value
Limits Rules
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The Squeeze (Sandwich) Theorem
1 konu anlatımı · 5 soru
The Squeeze (Sandwich) Theorem
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Limits at Infinity and Infinite Limits
4 konu anlatımı · 8 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
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Limits of Trigonometric Functions
3 konu anlatımı · 8 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 · 10 soru
Continuity
Discontinuity and Continuous Extension
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Intermediate Value Theorem
2 konu anlatımı · 6 soru
Intermediate Value Theorem I
Intermediate Value Theorem II
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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
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Differentiability
2 konu anlatımı · 9 soru
Differentiability (with Limit Definition)
Differentiability (without using Limit Definition)
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Differentiation Rules (Product, Quotient, Exponential)
4 konu anlatımı · 12 soru
Power Rule
Derivatives of Exponentials
Product Rule
Quotient Rule
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Higher Order Differentiation
1 konu anlatımı · 3 soru
Higher Order Derivative
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Derivative of Trigonometric Functions
1 konu anlatımı · 5 soru
Derivatives of Trigonometric Functions
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The Chain Rule
2 konu anlatımı · 15 soru
Chain Rule I
Chain Rule II
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Spring 2024 Exam
4 soru
Implicit Differentiation
Tangent Line and Linearization
Chain Rule and Normal Line
Limit Definition of Derivative
General Exam Review
12 soru
Limits of Trigonometric Functions
Limit of Functions
Limit at Infinity
Limit at Infinity
Limit at Infinity
Intermediate Value Theorem
Continuity
Continuity and Differentiability
Continuity and Differentiability
Differentiation Rules
The Chain Rule
The Chain Rule
Derivative of Inverse Trigonometric Functions
2 konu anlatımı · 10 soru
Inverse Trigonometric Functions
Derivatives of Inverse Trigonometric Functions
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Implicit & Inverse Trigonometric Functions I
Implicit & Inverse Trigonometric Functions II
Implicit & Inverse Trigonometric Functions III
Exponential and Logarithmic Functions
10 konu anlatımı
Domain of Exponential Functions
Domain of Logarithmic Functions
Composite of Exponential & Logarithm
Inverse of Exponential & Logarithms
Exponential & Logarithmic Equations
Exponential Growth and Decay
Graph of Logarithmic Functions 1
Graph of Logarithmic Functions 2
Graph of Exponential Functions 1
Graph of Exponential Functions 2
Logarithmic Differentiation
1 konu anlatımı · 3 soru
Logarithmic Differentiation
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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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Related Rates
2 konu anlatımı · 4 soru
Related Rates I
Related Rates II
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Hyperbolic Functions
1 konu anlatımı · 2 soru
Hyperbolic Functions
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Extreme Values and Critical Points
1 konu anlatımı · 5 soru
Critical Points, Absolute Maximum & Minimum
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Concavity and Inflections
2 konu anlatımı · 7 soru
First Derivative Test & Extremum Values
Second Derivative & Concavity
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Curve Sketching
3 konu anlatımı · 3 soru
Curve Sketching I
Curve Sketching II
Curve Sketching III
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Optimization (Extreme Value) Problems
4 konu anlatımı · 13 soru
Optimization Problems I
Optimization Problems II
Optimization Problems III
Optimization Problems IV
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Challenging Problem
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 ^ ∞)
(NEW) General Exam Review
30 soru
Logarithmic Differentiation 1
Logarithmic Differentiation 2
Logarithmic Differentiation 3
Implicit Differentiation 1
Implicit Differentiation 2
Implicit Differentiation 3
Implicit Differentiation 4
Linearization 1
Linearization 2
Linearization 3
Linearization 4
Extreme Values 1
Extreme Values 2
Extreme Values 3
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
Curve Sketching 4
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
Antiderivative & Integration Rules
5 konu anlatımı · 5 soru
Integration Rules I
Integration Rules II
Integral of Trigonometric Functions I
Integral of Trigonometric Functions II
Integral of Exponential Functions
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Integration with Substitution
7 konu anlatımı · 9 soru
Integration with Substitution
Substitution with Logarithms & Exponentials I
Substitution with Logarithms & Exponentials II
Substitution with Trigonometric Functions 1
Substitution with Trigonometric Functions 2
Substitution with Trigonometric Functions 3
Substitution with Trigonometric Functions 4
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Definite Integrals and Properties of Integration
2 konu anlatımı · 6 soru
Definite Integrals & Properties I
Definite Integrals & Properties II
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Integration by Parts
6 konu anlatımı · 8 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
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Integration with Partial Fractions
2 konu anlatımı · 5 soru
Partial Fractions I
Partial Fractions II
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Inverse Trigonometric Substitution
2 konu anlatımı · 2 soru
Inverse Trigonometric Substitution I
Inverse Trigonometric Substitution II
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Fundamental Theorem of Calculus
3 konu anlatımı · 9 soru
Fundamental Theorem of Calculus I
Fundamental Theorem of Calculus II
FTC and L'Hospital's Rule
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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
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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
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Spring 2024 Final Exam
6 soru
Definite Integrals
Integration Techniques
Substitution with Trigonometric Functions
Area Between Curves
Improper Integrals
Improper Integrals
General Exam Review
23 soru
Integration by Substitution
Integration by Substitution
Integration Rules (By Part, Fractions, Substitution)
Integration Rules (By Part, Fractions, Substitution)
Integration by Part
Integration by Part
Integration by Part
Integration by Part
Integration by Part
Partial Fractions
Partial Fractions
Partial Fractions
Partial Fractions
Partial Fractions & Substitution
Partial Fractions & Integration by Part
FTC and L'Hopital's Rule
FTC and L'Hopital's Rule
FTC and Tangent Line
Area between Curves
Improper Integral
Improper Integral
Improper Integral
Improper Integrals
Sınav Provası: Spring 2024 Final Exam
7 soru
Integration with Absolute Value
Integration with Substitution
Integration by Parts
Inverse Trigonometric Substitution
Area Between Curves
Improper Integrals
Improper Integrals