MATH 113 • Tüm Sınavlar • Calculus I
İstanbul Okan Üniversitesi MATH 113 (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), Derivative of Trigonometric Functions, The Chain Rule, Tangent Line Equations, Implicit Differentiation, The Mean Value Theorem, Related Rates.
Ayda 999 TL, peşin fiyatına 3 taksit
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.
Geçme Garantisi
Derslerimize güveniyoruz. Olur da sınavlarına bizimle hazırlandığın halde dersten kalırsan, iade alabilirsin. Koşullar
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)
4 konu anlatımı · 8 soru
Graph of Functions (Shifting & Scaling)
Graph of Functions I
Graph of Functions II
Graph of Functions III
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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 · 7 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 · 5 soru
Intermediate Value Theorem I
Intermediate Value Theorem II
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The Limit Definition of Derivatives
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 · 9 soru
Differentiability (with Limit Definition)
Differentiability (without using Limit Definition)
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Differentiation Rules (Product, Quotient)
5 konu anlatımı · 3 soru
Power Rule
Derivatives of Exponentials
Product Rule
Quotient Rule
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 · 12 soru
Chain Rule I
Chain Rule II
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Tangent Line Equations
4 konu anlatımı · 11 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
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Implicit Differentiation
3 konu anlatımı · 6 soru
Implicit Differentiation I
Implicit Differentiation II
Tangent Lines & Implicit Functions
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The Mean Value Theorem
4 konu anlatımı · 5 soru
Mean Value Theorem I
Mean Value Theorem II
Mean Value Theorem III
Mean Value Theorem IV
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Related Rates
3 konu anlatımı · 4 soru
Related Rates I
Related Rates II
Related Rates III
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(NEW) Sınav Provası II: Fall 2024 Exam
6 soru
Formal Definition of Limit
Limits
Problem 3 Part A: Chain Rule
Problem 3 Part B: Definition of Derivative
Problem 4.B: Related Rates
Problem 4.A: Implicit Differentiation
Linear Approximation (Linearization)
1 konu anlatımı · 4 soru
Linear Approximation
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Extreme Values and Critical Points
1 konu anlatımı · 3 soru
Critical Points, Absolute Maximum & Minimum
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Concavity and Inflections
2 konu anlatımı · 5 soru
First Derivative Test & Extremum Values
Second Derivative & Concavity
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Curve Sketching
2 konu anlatımı · 2 soru
Curve Sketching I
Curve Sketching II
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Optimization (Extreme Value) Problems
4 konu anlatımı · 11 soru
Optimization Problems I
Optimization Problems II
Optimization Problems III
Optimization Problems IV
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Antiderivative & Integration Rules
4 konu anlatımı · 5 soru
Integration Rules I
Integration Rules II
Integral of Trigonometric Functions I
Integral of Trigonometric Functions II
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Fundamental Theorem of Calculus
3 konu anlatımı · 5 soru
Fundamental Theorem of Calculus I
Fundamental Theorem of Calculus II
FTC and L'Hospital's Rule
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Integration with Substitution
5 konu anlatımı · 6 soru
Integration with Substitution
Substitution with Trigonometric Functions 1
Substitution with Trigonometric Functions 2
Substitution with Trigonometric Functions 3
Substitution with Trigonometric Functions 4
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Riemann Sum (Area as Limits of Sums)
4 konu anlatımı
Riemann Sum
Lower and Upper Riemann Sum
From Riemann Sum to Integral 1
From Riemann Sum to Integral 2
Area between Curves
6 konu anlatımı · 6 soru
Area between Curves 1
Area vs Integral
Area Between Curves 2
Area Between Curves 3
Area Between Curves 4
Area Between Curves 5
Area between Curves
Area between Curves
Area between Curves
Area between Curves
Area between Curves
Integrals (using areas of known functions)
General Exam Review
13 soru
Extreme Values 1
Extreme Values 2
First Derivative Test & Concavity 1
First Derivative Test & Concavity 2
First Derivative Test & Concavity 3
Curve Sketching 1
Curve Sketching 2
Curve Sketching 3
Integration by Substitution
Area between Curves
Area between Curves
Area between Curves
Integrals (using areas of known functions)
(NEW) Sınav Provası: Fall 2024 Exam
6 soru
Curve Sketching
Optimization Problem
Fundamental Theorem of Calculus
Riemann Sum & Average Value of a Function
Area Between Curves
Definite Integrals
Volume by Integration
5 konu anlatımı · 4 soru
Solids of Revolution-1
Solid of Revolution 2
Solid of Revolution 3
Solid of Revolution 4
Solid of Revolution 5
Volume: Solid of Revolution
Volume by Integration
Volume by Integration
Volume by Integration
Arc Length Calculation
1 konu anlatımı · 2 soru
Arc Length Calculation
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Derivative of Inverse Function
1 konu anlatımı · 5 soru
Derivative of Inverse
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Exponential and Logarithmic Functions
2 konu anlatımı · 9 soru
Derivatives of Exponentials and Logarithms
Integral of Exponential Functions
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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 ^ ∞)
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
Hyperbolic Functions
1 konu anlatımı · 2 soru
Hyperbolic Functions
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(NEW) Fall 2024 Final Exam
8 soru
Equation of a Tangent Line
L'Hopital's Rule
Extreme Values & Inflection Point
Asymptotes
Definite Integrals
Definite Integrals
Volume by Integration
Length of a Curve
(NEW) Sınav Provası: Spring 2025 Final Exam
4 soru
Area Between Curves
Limit Definition of Derivative
Riemann Sum
Volume by Integration
(NEW) General Exam Review
27 soru
Extreme Values
Optimization (Extreme Value) Problems
First Derivative Test & Concavity
Curve Sketching 1
Curve Sketching 2
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
FTC and L'Hopital's Rule
FTC and L'Hopital's Rule
FTC and L'Hopital's Rule
FTC
FTC
FTC and Tangent Line
Integration by Substitution
Area Between Curves
Area between Curves
Area & Volume by Integration
Volume by Integration
Volume by Integration
Volume by Integration
Volume by Integration