MATH 115 • Tüm Sınavlar • Calculus I
MEF Üniversitesi MATH 115 (Calculus I) Midterm: Part I sınavına hazırlık paketi.
İşlenen konular: Functions (Domain-Composite-Inverse), Graph of Functions (Shifting & Scaling), Limits of Functions, The Squeeze (Sandwich) Theorem, Asymptotes, Limits at Infinity and Infinite Limits, 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, Tangent Line Equations, Implicit Differentiation.
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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)
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 · 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
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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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Asymptotes
2 konu anlatımı · 4 soru
Vertical and Horizontal Asymptotes
Oblique Asymptotes
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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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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 · 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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Tangent Line Equations
4 konu anlatımı · 13 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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Sınav Provası I: Spring 2024 Exam
8 soru
Domain & Range of Functions
Graphing Operations
Limits of Functions (Squeeze Theorem, Trigonometric Functions)
Differentiation Rules
Intermediate Value Theorem
Tangent Line Equation
Differentiability at a Point
Related Rate
Sınav Provası II: Spring 2025 Exam
11 soru
Domain & Range
Graphing Operations
Graphing Absolute Value Function
Limits of Functions
Asymptotes
Intermediate Value Theorem
Limit Definition of Derivative
Limit Definition of Derivative
Tangent Line Equation
Theory Problems I
Theory Problems II
Sınav Provası II: Fall 2023 Exam
7 soru
Domain and Range
Limit without L'Hopital's Rule
Limit of Trigonometric Functions
Differentiation Rules
Differentiation Rules
Implicit Differentiation
Tangent Line
Increasing, Decreasing Functions and Derivative of Inverse Function
2 konu anlatımı · 5 soru
Increasing and Decreasing Functions
Derivative of Inverse
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Logarithmic Differentiation
2 konu anlatımı · 7 soru
Logarithmic Differentiation I
Logarithmic Differentiation II
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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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Linear Approximation (Linearization)
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Linear Approximation
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Related Rates
2 konu anlatımı · 4 soru
Related Rates I
Related Rates II
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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 · 2 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 ^ ∞)
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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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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General Review Problems
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Logarithmic Differentiation
Increasing & Decreasing & Relative Extrema
Increasing & Decreasing & Relative Extrema
Absolute Extrema on a Closed Interval
Absolute Extrema On a Closed Interval
Extreme Values & Inflection Point
Curve Sketching
Curve Sketching
Optimization Problems
L'Hopital's Rule
L'Hôpital's Rule
L'Hopital's Rule
Integration by Substitution
Integration by Substitution
FTC and L'Hopital's Rule
FTC and L'Hopital's Rule
FTC and Tangent Line
Sınav Provası: Spring 2024 Exam
7 soru
IVT & Increasing Functions
Curve Sketching
Extreme Value Problems
Newton Approximation Method
Antiderivatives
Integrals
Fundamental Theorem of Calculus
Definite Integrals and Properties of Integration
2 konu anlatımı · 7 soru
Definite Integrals & Properties I
Definite Integrals & Properties II
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Area between Curves
5 konu anlatımı · 7 soru
Area and Integral
Area between Curves I
Area between Curves II
Area between Curves III
Area between Curves IV
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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 · 3 soru
Inverse Trigonometric Substitution I
Inverse Trigonometric Substitution II
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Volume by Integration
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Solids of Revolution-1
Solid of Revolution 2
Solid of Revolution 3
Solid of Revolution 4
Solid of Revolution 5
Length of a Curve
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Arc Length Calculation
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General Exam Review
26 soru
Integration Rules (By Part, Fractions, Substitution)
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
Inverse Trigonometric Substitution
Inverse Trigonometric Substitution
Inverse Trigonometric Substitution
Area between Curves
Area between Curves
Area between Curves
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
Volume by Integration
Sınav Provası: Spring 2024 Final Exam
6 soru
Limit
Differentiation
Antiderivatives
Integration Techniques
Length of a Curve
Area Between Curves & Volume by Integration