MATH 152 • Midterm I • Calculus II
“okuldaki derslere katılmamıştım bu sebeple satın aldım ve faydasını gördüm.”
Onur Ata Oral
Makine Mühendisliği
Atılım biz geldik! Üniversitedeki zor Matematik derslerinden biri olarak kabul edilen Math 152 dersi artık düşündüğün kadar zor değil! Dersimizde önce özet konu anlatımları ve kitaptaki ödev sorularının çözümleriyle öğrenecek, sonrasında son yılların çıkmış sınav sorularıyla antreman yapabileceksin.
Bu dersimizde sunduğumuz içerikler: 1. Sequences 2. Infinite Series 3. Convergence Tests for Positive Series 4. Absolute and Conditional Convergence 5. Power Series 6. Taylor and Maclaurin Series 7. Applications of Taylor and Maclaurin Series 8. Analytic Geometry in Three Dimensions 9. Vectors 10. The Cross Product in 3-Space 11. Planes and Lines
Eğitmen
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.
Konular
Sequences
5 konu anlatımı · 12 soru
Introduction to Sequences
Increasing, Decreasing and Bounded Sequences
Convergence and Limit of Sequences
Monotonic Sequence Theorem
Recursive Sequences
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Infinite Series
5 konu anlatımı · 9 soru
Series: Partial Sums
Geometric Series
Harmonic Series
Telescoping Series
Operations in Series
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Convergence Tests for Infinite Series
7 konu anlatımı · 4 soru
The Nth-Term Test
The Integral Test
P Test
The Ratio Test
The Root Test
Direct Comparison Test
The Limit Comparison Test
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Alternating Series, Absolute and Conditional Convergence
6 konu anlatımı · 4 soru
Introduction to Absolute Convergence
Absolute Convergence Theorem
Alternating Series Test I
Alternating Series Test II
Conditional Convergence
Absolute or Conditional or Divergent ??
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Power Series
6 konu anlatımı · 5 soru
What is a Power Series?
Radius and Interval of Convergence
Convergence on Endpoints
Term by Term Differentiation & Integration
Finding a Power Series Expansion
Power Series with Different Centers
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Taylor and Maclaurin Series
5 konu anlatımı · 11 soru
Taylor Series: Intuition
Taylor and Maclaurin Series
Taylor and Maclaurin Series 2
Finding a Taylor Series Expansion 1
Finding a Taylor Series Expansion 2
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Applications of Taylor Series
2 konu anlatımı · 6 soru
Applications of Taylor Series 1
Applications of Taylor Series 2
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Taylor Polynomials
2 konu anlatımı · 4 soru
Taylor Polynomial 1
Taylor Polynomial 2
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Analytic Geometry in 3D: Vectors
6 konu anlatımı
Distance Between Points
Vectors: Arithmetic, Parallelism and Unit Vector
Angles between Vectors: Dot Product
Vector Projection
Cross Product of Vectors
Applications of Cross Product
Plane and Line Equations
6 konu anlatımı
Plane Equations
Line Equations 1
Line Equations 2
Intersection of Planes
Intersection of Planes and Lines
Distance of a Point to Lines & Planes
Functions of Several Variables and Surfaces
4 konu anlatımı
Domain of Multivariable Functions
Level Curves
Level Curves and Level Surfaces
Graphs of Surfaces
Limits and Continuity of Multivariable Functions
6 konu anlatımı
Limits of Multivariable Functions 1
Limits of Multivariable Functions 2
Limits of Multivariable Functions 3
Multivariable Squeeze Theorem
Continuity of Multivariable Functions
Limits with Polar Coordinates
Partial Differentiation
4 konu anlatımı
Limit Definition of Partial Derivative
Partial Differentiation Rules 1
Partial Differentiation Rules 2
Higher Order Partial Differentiation
The Chain Rule
3 konu anlatımı
Chain Rule 1
Chain Rule 2
Chain Rule 3
Exam Practice for Multivariable Functions
11 soru
Definition of Partial Derivative
Definition of Partial Derivative
Partial Derivative
Partial Derivative
Partial Derivative
Partial Derivative
Higher Order Differentiation
Higher Order Differentiation
Chain Rule
Chain Rule
Chain Rule
Fall 2025 Exam
15 soru
Question 1
Question 2
Question 3
Question 4
Question 5
Question 6
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Question 10
Question 11
Question 12
Question 13
Question 14
Question 15
Spring 2024 Exam
12 soru
Sequences & Convergence
Sequences & Convergence
Theory Problem: Convergence of Series
The N-th term Test
The Ratio Test
The Root Test
The Limit Comparison Test
Radius & Interval of Convergence
Maclaurin Series
Maclaurin Series
Plane Equations
Vectors
Summer 2024 Exam
10 soru
Limit of a Sequence
Limit of a Sequence
Telescoping Series
Nth Term Test
Root Test
Limit Comparison Test - p-Test
Radius & Interval of Convergence
Theory Problem: Convergence of Series
Maclaurin Series
Lines & Planes
Spring 2025 Exam
6 soru
Sequences & Convergence
Geometric Series
Absolute and Conditional Convergence
Power Series and Convergence
Vectors and Dot Product
Plane Equations
Exam Practice: True / False Problems
15 soru
Sequences
Sequences
Geometric Series
Geometric Series
Nth Term
p Series (Test)
Integral Test
Direct Comparison Test
Direct Comparison Test and Sequences
Power Series
Power Series
Power Series
Power Series
Taylor Series
Taylor Polynomial
Değerlendirmeler
9 öğrenci değerlendirmesi
Değerlendirme yapmak için bu derse sahip olman gerekiyor.
Onur Ata Oral
Makine Mühendisliği
okuldaki derslere katılmamıştım bu sebeple satın aldım ve faydasını gördüm.
Hasan Uzun
Makine Mühendisliği
İlayda Çakır
Enerji Sistemleri Mühendisliği
İrem Tiftikci
Kimya Mühendisliği
Rabia Asil
Enerji Sistemleri Mühendisliği
Deniz Can Çakıroglu
Pilotaj
Berkay Can Çakır
Makine Mühendisliği
Hasan Koçak
Mekatronik Mühendisliği
Kayra Güdüllüoğlu
Enerji Sistemleri Mühendisliği
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