MATH 1111 • Tüm Sınavlar • Calculus I
Işık Üniversitesi MATH 1111 (Calculus I) Midterm I sınavına hazırlık paketi.
İşlenen konular: Functions (Domain-Composite-Inverse), Graph of Functions (Shifting & Scaling), Exponential and Logarithmic Functions, 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, Tangent Line Equations.
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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.
Geçme Garantisi
Derslerimize güveniyoruz. Olur da sınavlarına bizimle hazırlandığın halde dersten kalırsan, iade alabilirsin. Koşullar
Konular
Functions (Domain-Composite-Inverse)
6 konu anlatımı
Domain of Functions
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 · 8 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
Graph of Trigonometric Functions 1
Graph of Trigonometric Functions 2
Exam like Question 1
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Exam like Question 8
Exponential and Logarithmic Functions
4 konu anlatımı
Exponential Equations
Logarithmic Equations
Domain of Exponential & Logarithms
Inverse of Exponential & Logarithms
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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Exam like Question 5
Limits at Infinity and Infinite Limits
4 konu anlatımı · 9 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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Exam like Question 4
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 · 8 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 · 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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Tangent Line Equations
2 konu anlatımı · 3 soru
Equation of a Tangent Line I
Horizontal and Vertical Tangent
Exam like Question 1
Exam like Question 2
Exam like Question 3
General EXAM REVIEW
22 soru
Inverse Trigonometric Functions
Composite & Inverse of Functions
Equations with Exponential Functions
Logarithmic Equations
Domain of a Function
Domain of a Function
Domain of a Function
Composite & Inverse of Functions
Exponential Functions: Domain & Inverse
Graphing Operations
Graphing Operations
Limit of Piecewise Function
Limit of Piecewise Function
Limit of Functions (Absolute, Infinity)
Limit of Functions (Squeeze, Trigonometric, Infinity)
The Squeeze Theorem
Continuity
Continuous Extension
Discontinuity
Intermediate Value Theorem
Limit Definition of Derivative
Limit Definition of Derivative
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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Exam like Question 12
Higher Order Differentiation
1 konu anlatımı · 3 soru
Higher Order Derivative
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Exam like Question 3-4-5
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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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 · 9 soru
Implicit Differentiation I
Implicit Differentiation II
Tangent Lines & Implicit Functions
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Derivative of Inverse Function
1 konu anlatımı · 5 soru
Derivative of Inverse
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Derivative of Inverse Trigonometric Functions
2 konu anlatımı · 10 soru
Inverse Trigonometric Functions
Derivatives of Inverse Trigonometric Functions
Exam like Question 1-2
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Implicit & Inverse Trigonometric Functions I
Implicit & Inverse Trigonometric Functions II
Implicit & Inverse Trigonometric Functions III
Logarithmic Differentiation
2 konu anlatımı · 5 soru
Logarithmic Differentiation I
Logarithmic Differentiation II
Exam like Question 1-2
Exam like Question 3
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Linear Approximation (Linearization)
1 konu anlatımı · 5 soru
Linear Approximation
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Extreme Values and Critical Points
1 konu anlatımı · 5 soru
Critical Points, Absolute Maximum & Minimum
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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
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Concavity and Inflections
2 konu anlatımı · 6 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
Exam like Question 1
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Exam like Question 3
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 ^ ∞)
General EXAM REVIEW
25 soru
Limit of Functions (Mixed)
Limit of Functions (Mixed)
Limit Definition of Derivative
Limit Definition of Derivative
Limit Definition of Derivative
Differentiability
Differentiability
Equation of a Tangent Line
Equation of a Tangent Line
Mean Value Theorem
Mean Value Theorem
Mean Value Theorem
Implicit Differentiation & Tangent Line
Implicit Differentiation & Tangent Line
Chain Rule
Logarithmic Differentiation
Logarithmic Differentiation
Increasing & Decreasing & Relative Extrema
Absolute Extrema on a Closed Interval
Concavity & Inflection Point
Curve Sketching
Optimization Problem
L'Hopital's Rule
L'Hopital's Rule
L'Hôpital's Rule
Concavity and Inflections
2 konu anlatımı · 4 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
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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Exam like Question 3
Exam like Question 4
Exam like Question 5
Definite Integrals and Properties of Integration
2 konu anlatımı · 7 soru
Definite Integrals & Properties I
Definite Integrals & Properties II
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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 1
Substitution with Trigonometric Functions 2
Substitution with Trigonometric Functions 3
Substitution with Trigonometric Functions 4
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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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Volume by Integration
5 konu anlatımı
Solids of Revolution-1
Solid of Revolution 2
Solid of Revolution 3
Solid of Revolution 4
Solid of Revolution 5
Arc Length Calculation
1 konu anlatımı · 2 soru
Arc Length Calculation
Exam like Question 1
Exam like Question 2
Average Value of a Function
1 konu anlatımı · 6 soru
Average Value of a Function
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Exam like Question 6
(NEW) Sınav Provası: Fall 2020 Final Exam
9 soru
Inverse of Functions
Integration with Substitution
Integration with Substitution
Area between Curves
Local Maximum & Minimum
Volume Using Cross-Sections
Fundamental Theorem of Calculus
Arc Length Calculation
Differentiation Rules
(NEW) General Exam Review
21 soru
Increasing & Decreasing & Relative Extrema
Absolute Extrema on a Closed Interval
Concavity & Inflection Point
Curve Sketching
Optimization Problem
L'Hopital's Rule
L'Hopital's Rule
L'Hôpital's Rule
Integration by Substitution
Integration by Substitution
Integration with Substitution
Integration with Substitution
FTC and L'Hopital's Rule
Area between Curves
Area between Curves
Area between Curves
Area between Curves
Integrals (using areas of known functions)
Volume by Integration
Volume by Integration
Volume by Integration