MAT 103E • Midterm • Calculus I
İstanbul Teknik Üniversitesi MAT 103E (Calculus I) Midterm 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, 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, Derivative of Inverse Function, Derivative of Inverse Trigonometric Functions, Logarithmic Differentiation, Linear Approximation (Linearization), The Mean Value Theorem, Related Rates, Extreme Values and Critical Points, Concavity and Inflections, Curve Sketching, Indeterminate Forms (L'Hopital's Rule).
Ayda 499 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.
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 · 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
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
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
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
Derivative of Inverse Function
1 konu anlatımı · 5 soru
Derivative of Inverse
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Derivative of Inverse Trigonometric Functions
2 konu anlatımı · 10 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
Exam-like Question 6
Exam-like Question 7
Exam-like Question 8
Implicit & Inverse Trigonometric Functions I
Implicit & Inverse Trigonometric Functions II
Implicit & Inverse Trigonometric Functions III
Logarithmic Differentiation
2 konu anlatımı · 7 soru
Logarithmic Differentiation I
Logarithmic Differentiation II
Exam-like Question 1-2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Exam-like Question 6
Exam-like Question 7
Exam-like Question 8
Linear Approximation (Linearization)
1 konu anlatımı · 5 soru
Linear Approximation
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
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
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
Related Rates
3 konu anlatımı · 4 soru
Related Rates I
Related Rates II
Related Rates III
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Extreme Values and Critical Points
1 konu anlatımı · 5 soru
Critical Points, Absolute Maximum & Minimum
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Concavity and Inflections
2 konu anlatımı · 7 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
Exam-like Question 7
Curve Sketching
3 konu anlatımı · 3 soru
Curve Sketching I
Curve Sketching II
Curve Sketching III
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
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 ^ ∞)
Past Exam Problems (Konu Sırasıyla)
59 soru
Even-Odd Functions (Fall 2024 Exam)
Domain and Range of Functions (Fall 2024 Exam)
Domain of Functions (Spring 2025 Exam)
Domain of Functions (Spring 2026 Exam)
Composite Functions (Spring 2025 Exam)
Trigonometric Functions (Fall 2024 Exam)
Trigonometric Functions (Spring 2025 Exam)
Graphing Operations (Fall 2024 Exam)
Graphing Operations (Spring 2026 Exam)
Limits of Functions (Spring 2025 Exam)
Limits of Functions (Spring 2026 Exam)
Squeeze Theorem (Spring 2026 Exam)
Limits at Infinity (Spring 2025 Exam)
Limits at Infinity (Spring 2026 Exam)
Asymptotes (Fall 2024 Exam)
Asymptotes (Spring 2025 Exam)
Asymptotes (Spring 2026 Exam)
Limits of Trigonometric Functions (Fall 2024 Exam)
Limits of Trigonometric Functions (Fall 2024 Exam)
Indeterminate Forms (L'Hopital's Rule) (Spring 2026 Exam)
Continuity (Fall 2024 Exam)
Continuity (Fall 2024 Exam)
Continuity (Spring 2025 Exam)
Continuity (Spring 2025 Exam)
Continuity and Limits (Spring 2026 Exam)
Discontinuity (Fall 2024 Exam)
Discontinuity (Spring 2026 Exam)
Fixed Points of Functions (Spring 2025 Exam)
Intermediate Value Theorem (Spring 2026 Exam)
Rate of Change (Spring 2025 Exam)
Differentiability and Continuity (Spring 2025 Exam)
Differentiability (Fall 2024 Exam)
Differentiation Rules (Fall 2024 Exam)
Differentiation Rules (Spring 2025 Exam)
Differentiation Rules (Spring 2025 Exam)
Differentiation Rules (Spring 2026 Exam)
Differentiation Rules (Spring 2026 Exam)
Derivative of Trigonometric Functions (Fall 2024 Exam)
Derivative of Trigonometric Functions (Spring 2025 Exam)
Derivative of Trigonometric Functions (Spring 2026 Exam)
The Chain Rule (Fall 2024 Exam)
Chain Rule (Spring 2025 Exam)
Equation of a Tangent Line (Fall 2024 Exam)
Equation of a Tangent Line (Spring 2025 Exam)
Implicit Differentiation (Fall 2024 Exam)
Implicit Differentiation (Fall 2024 Exam)
Implicit Differentiation (Spring 2025 Exam)
Implicit Differentiation (Spring 2026 Exam)
Mean Value Theorem (Fall 2024 Exam)
Mean Value Theorem (Spring 2025 Exam)
Mean Value Theorem (Spring 2026 Exam)
Rolle's Theorem (Spring 2025 Exam)
Theory Problem: Extreme Values (Fall 2024 Exam)
Theory Problem: Extreme Values (Fall 2024 Exam)
Local Extrema (Spring 2026 Exam)
Absolute Extrema (Spring 2026 Exam)
Increasing and Decreasing Functions (Spring 2026 Exam)
Concavity and Inflections (Spring 2026 Exam)
Antiderivatives & Differential Equations (Spring 2026 Exam)
Değerlendirmeler
4 öğrenci değerlendirmesi
Değerlendirme yapmak için bu derse sahip olman gerekiyor.
Nisa Tor
Satın aldıŞehir ve Bölge Planlama
Deniz Demir
Satın aldıMimarlık
Umay Özkan
Satın aldıTekstil Mühendisliği
Nehir Solum
Satın aldıGıda Mühendisliği
İkisini Birlikte Al
🎓 İstanbul Teknik Üniversitesi öğrencilerinin %92'si tüm paketi alarak çalışıyor.
MAT 103E • Midterm
Calculus I
1249 TL
MAT 103E • Final
Calculus I
1249 TL
MAT 103E Midterm Hakkında Sıkça Sorulan Sorular
Unicourse Hakkında Sıkça Sorulan Sorular
