MATH 153 • Tüm Sınavlar • Calculus I
İzmir Ekonomi Üniversitesi MATH 153 (Calculus I) Midterm sınavına hazırlık paketi.
İşlenen konular: Functions (Domain-Composite-Inverse), 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, Tangent Line Equations, Implicit Differentiation.
Ayda 833 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.
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
Limits of Functions
3 konu anlatımı · 10 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
Exam like Question 9
Exam like Question 10
The Squeeze (Sandwich) Theorem
1 konu anlatımı · 5 soru
The Squeeze (Sandwich) Theorem
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
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
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
Asymptotes
2 konu anlatımı · 4 soru
Vertical and Horizontal Asymptotes
Oblique Asymptotes
Exam like Question 1
Exam like Question 2
Exam like Question 3
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
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
Continuity and Discontinuity
2 konu anlatımı · 10 soru
Continuity
Discontinuity and Continuous Extension
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
Intermediate Value Theorem
2 konu anlatımı · 6 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
Exam like Question 6
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
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
Differentiability
2 konu anlatımı · 9 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
Exam like Question 6
Exam like Question 7
Exam like Question 8
Exam like Question 9
Differentiation Rules (Product, Quotient, Exponential)
4 konu anlatımı · 12 soru
Power Rule
Derivatives of Exponentials
Product Rule
Quotient Rule
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
Higher Order Differentiation
1 konu anlatımı · 3 soru
Higher Order Derivative
Exam like Question 1
Exam like Question 2
Exam like Question 3-4-5
Derivative of Trigonometric Functions
1 konu anlatımı · 5 soru
Derivatives of Trigonometric Functions
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
The Chain Rule
2 konu anlatımı · 15 soru
Chain Rule I
Chain Rule II
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
Tangent Line Equations
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
Challenging: Tangent Line Passes through a Point
Exam like Question 12
Exam like Question 13
Implicit Differentiation
3 konu anlatımı · 9 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
Exam like Question 8
Exam like Question 9
Fall 2023 Exam
6 soru
Limits of Functions (Infinity, Absolute Value)
Continuity
Limit Definition of Derivative
The Chain Rule I
The Chain Rule II
Implicit Differentiation and Tangent Line
Fall 2022 Exam
4 soru
Limits of Functions (Infinity, Absolute Value)
Continuity
The Chain Rule
Implicit Differentiation and Tangent Line
Derivative of Inverse Function
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 · 6 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
Implicit & Inverse Trigonometric Functions I
Implicit & Inverse Trigonometric Functions II
Logarithmic Differentiation
2 konu anlatımı · 5 soru
Logarithmic Differentiation
Logarithmic Differentiation II
Exam like Question 1-2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
The Mean Value Theorem
2 konu anlatımı · 1 soru
Mean Value Theorem I
Mean Value Theorem II
Exam like Question
Related Rates
2 konu anlatımı · 4 soru
Related Rates I
Related Rates II
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
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 ^ ∞)
Extreme Values and Critical Points
1 konu anlatımı · 4 soru
Critical Points, Absolute Maximum & Minimum
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Concavity and Inflections
2 konu anlatımı · 6 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
Exam like Question 5
Exam like Question 6
Curve Sketching
3 konu anlatımı · 1 soru
Curve Sketching I
Curve Sketching II
Curve Sketching III
Exam like Question 1
Extreme Value Problems
4 konu anlatımı · 8 soru
Optimization Problems I
Optimization Problems II
Optimization Problems III
Optimization Problems 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 Rules
5 konu anlatımı
Integration Rules I
Integration Rules II
Integral of Trigonometric Functions I
Integral of Trigonometric Functions II
Integral of Exponential Functions
The Method of Substitution
6 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
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
Properties of Integration Part I
2 konu anlatımı · 5 soru
Definite Integrals & Properties I
Definite Integrals & Properties II
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Properties of Integration Part II
1 konu anlatımı · 3 soru
Average Value of a Function
Exam like Question 1
Exam like Question 2
Exam like Question 3
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
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
Areas of Plane Regions
5 konu anlatımı · 5 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
Fall 2020 Final Exam
12 soru
Continuity
Tangent Line to Implicit Function
Absolute Extrema: Closed Interval
Related Rates
Optimization Problems
Asymptotes
Limit - Indeterminate Form
Limit - Indeterminate Form
Definite Integrals - Substitution Method
Substitution Method
Substitution Method
Area Between Curves
Sample Final Exam Problems
39 soru
Extreme Values and Concavity
Absolute Maximum and Minimum
Absolute Maximum and Minimum
Asymptotes
Sketching the Graph of a Function
Sketching the Graph of a Function
Derivative of Inverse
Derivative of Inverse
Logarithmic Differentiation
Logarithmic Differentiation
Derivative of Inverse Trigonometric Functions
Derivative of Inverse Trigonometric Functions
Derivative of Inverse Trigonometric Functions
Extreme Value Problems
Extreme Value Problems
Related Rates
Indeterminate Forms (L'Hopital's Rule)
Indeterminate Forms (L'Hopital's Rule)
Indeterminate Forms (L'Hopital's Rule)
Indeterminate Forms (L'Hopital's Rule)
Indeterminate Forms (L'Hopital's Rule)
Indeterminate Forms (L'Hopital's Rule)
Indeterminate Forms (L'Hopital's Rule)
Area as a Plane Region
Area as a Plane Region
Area as a Plane Region
Properties of Integration
Properties of Integration
The Method of Substitution
The Method of Substitution
The Method of Substitution
The Method of Substitution
The Method of Substitution
The Method of Substitution
The Method of Substitution
Fundamental Theorem of Calculus
Fundamental Theorem of Calculus
Fundamental Theorem of Calculus
Fundamental Theorem of Calculus
Bonus Part: Review Problems (Midterm Subjects)
14 soru
The Chain Rule
The Chain Rule
The Chain Rule
The Chain Rule
The Chain Rule
The Chain Rule
Tangent Line and their Slopes
Tangent Line and their Slopes
Tangent Line and their Slopes
Horizontal Tangent Line
Implicit Differentiation
Implicit Differentiation
Implicit Differentiation
Implicit Differentiation