MAT 1052 • Midterm • Calculus II
Üniversitedeki en zor Matematik dersi olarak kabul edilen Mat 1052 dersi artık düşündüğün kadar zor değil! Dersimizde önce özet konu anlatımları ve kitaptaki ödev sorularının çözümleriyle öğrenecek, sonrasında son 10 yılın tüm çıkmış sınav sorularıyla antreman yapabileceksin.
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.
Gürkan Hoca
Öğr. Üy.
Orta Doğu Tekn. Üni.'den derece ile mezun olduktan sonra yüksek lisans ve doktora çalışmalarımı da yurt dışında tamamladım. Ardından aynı üniversitede öğretim üyesi olarak görev yaptım. Üniversite öğrencisi olmanın ne demek olduğunu unutmayarak, dersleri öğrencilerimin gözünden anlatmanın ve onlara özel anlama yolları geliştirmenin önemini çok iyi biliyorum. Öğretmenin aslında bir "sanat" olduğunu biliyorum ve bu sanatı sizlere gösterebilmek için buradayım.
Paketi Tamamla
🎓 Bahçeşehir Üniversitesinde öğrencilerin %92'si tüm paketi alarak çalışıyor.
MAT 1052 • Final
Calculus II
Dorukhan Özcan
1599 TL
MAT 1052 • Midterm
Calculus II
Dorukhan Özcan
1599 TL
Konular
L'Hôpital's Rule
Indeterminate Form 1 (0/0)
Indeterminate Form 2 (∞/∞)
Indeterminate Form 3 (0 x ∞)
Indeterminate Form 4 (∞ - ∞)
Indeterminate Form 5 - 6 (∞^0 and 0^0)
Indeterminate Form 7 (1 ^ ∞)
Improper Integrals
Intuition of Improper Integrals
Convergence of Improper Integrals I
Convergence of Improper Integrals II
P test for Improper Integrals
Direct Comparison Test I
Direct Comparison Test II
Infinite Region I
Infinite Region II
Infinite Region III
Sequences
Introduction to Sequences
Bounded Sequences
Convergence and Limit of Sequences
Recursive Sequences
Infinite Series
Series: Partial Sums
Geometric Series
Harmonic Series
Telescoping Series
Operations in Series
Convergence Tests for Infinite Series
The Nth-Term Test
The Integral Test
P Test
Direct Comparison Test 1
Direct Comparison Test 2
The Limit Comparison Test 1
The Limit Comparison Test 2
The Ratio Test
The Root Test
Alternating Series, Absolute and Conditional Convergence
Introduction to Absolute Convergence
Absolute Convergence Theorem
Alternating Series Test I
Alternating Series Test II
Conditional Convergence
Absolute or Conditional or Divergent ??
Power Series
What is a Power Series?
Radius and Interval of Convergence
Convergence on Endpoints
Operations on Power Series
Finding a Power Series Expansion
Power Series with Different Centers
Taylor and Maclaurin Series
Taylor Series: Intuition
Taylor and Maclaurin Series
Taylor and Maclaurin Series 2
Finding a Taylor Series Expansion 1
Finding a Taylor Series Expansion 2
Applications of Taylor Series
Exam Practice Part I
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)
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)
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)
Improper Integral Type I
Improper Integral Type I
Improper Integral Type I
Improper Integral Type I
Improper Integral Type I
Improper Integral Type I
Improper Integral Type I
Improper Integral Type II
Improper Integral Type II
Improper Integral Type II
Improper Integral Type II
Improper Integral Type I and II
Comparison Test for Improper Integrals
Comparison Test for Improper Integrals
Comparison Test for Improper Integrals
Comparison Test for Improper Integrals
Comparison Test for Improper Integrals
Bonus Challenging Problem
Exam Practice Part II
Radius and Interval of Convergence
Radius and Interval of Convergence
Radius and Interval of Convergence
Radius and Interval of Convergence
Radius and Interval of Convergence
Radius and Interval of Convergence
From Power Series to New Series
Power Series with Different Center
Finding Sum with Power Series
Finding Sum with Power Series
Taylor Series of known Functions
Taylor Series of known Functions
Taylor Series of known Functions
Taylor Series of known Functions
Taylor Series of known Functions
Maclaurin Series of Known Functions
Taylor Series of known Functions
Taylor Series Expansion
Applications of Taylor Series
Application of Taylor Series
Taylor Series Applications
Applications of Taylor Series
Applications of Taylor Series
Exam Practice Part III
Convergence of Sequences
Convergence of Sequences
Convergence of Sequences
Convergence & Limit of Sequences
Convergence & Limit of Sequences
The Nth-Term Test
The Nth-Term Test
The Nth-Term Test
The N-th Term Test
The N-th Term Test
The Nth-Term Test
The N-th Term Test
The N-th Term Test & Root Test
The Nth-Term Test & Root Test
The Root Test
The Root Test
The Ratio Test
The Ratio Test
The Ratio Test
The Ratio Test
The Ratio Test
The Integral Test
The Integral Test
Direct Comparison Test
Direct Comparison Test
Direct Comparison Test
Limit Comparison Test
Limit Comparison Test
Limit Comparison Test
Limit Comparison Test
Limit Comparison Test
Limit Comparison Test
Alternating Series Test
Alternating Series Test
Alternating Series Test
Geometric Series
Geometric Series
Geometric Series
Geometric Series
Geometric Series
Telescoping Series
Telescoping Series
(NEW) Spring 2022 Exam
Improper Integrals
Improper Integral: Infinite Region
Convergence of Sequences
Geometric and Telescoping Series
Geometric Series
Radius & Interval of Convergence
Convergence Test for Series
Convergence Test for Series
Convergence Test for Series
Ratio Test & Alternating Series Test
Alternating Series Test
Partial Sum & Convergence
Taylor Series Expansion
Taylor Series Expansion
Taylor Series Expansion
(NEW) Spring 2024 EXAM
L'Hopital's Rule
Convergence of Sequences
Improper Integrals
Comparison Test for Improper Integrals
Improper Integrals: Infinite Region
Convergence Tests for Series I
Convergence Tests for Series II
Convergence Tests for Series III
Convergence Tests for Series IV
Taylor and Maclaurin Series Expansion
True / False: Geometric Series
True / False: Divergence or not ?
Plane and Line Equations in Space
Review Problems
Convergence Tests for Series
Convergence Tests for Series
Radius of Convergence
Radius of Convergence
Maclaurin Series
Taylor Series 1
Taylor Series 2
Taylor Series 3
Taylor Series 4
Taylor Series 5
Değerlendirmeler
Ders İçeriği
L'Hôpital's Rule
Indeterminate Form 1 (0/0)
Indeterminate Form 2 (∞/∞)
Indeterminate Form 3 (0 x ∞)
Indeterminate Form 4 (∞ - ∞)
Indeterminate Form 5 - 6 (∞^0 and 0^0)
Indeterminate Form 7 (1 ^ ∞)
Improper Integrals
Intuition of Improper Integrals
Convergence of Improper Integrals I
Convergence of Improper Integrals II
P test for Improper Integrals
Direct Comparison Test I
Direct Comparison Test II
Infinite Region I
Infinite Region II
Infinite Region III
Sequences
Introduction to Sequences
Bounded Sequences
Convergence and Limit of Sequences
Recursive Sequences
Infinite Series
Series: Partial Sums
Geometric Series
Harmonic Series
Telescoping Series
Operations in Series
Convergence Tests for Infinite Series
The Nth-Term Test
The Integral Test
P Test
Direct Comparison Test 1
Direct Comparison Test 2
The Limit Comparison Test 1
The Limit Comparison Test 2
The Ratio Test
The Root Test
Alternating Series, Absolute and Conditional Convergence
Introduction to Absolute Convergence
Absolute Convergence Theorem
Alternating Series Test I
Alternating Series Test II
Conditional Convergence
Absolute or Conditional or Divergent ??
Power Series
What is a Power Series?
Radius and Interval of Convergence
Convergence on Endpoints
Operations on Power Series
Finding a Power Series Expansion
Power Series with Different Centers
Taylor and Maclaurin Series
Taylor Series: Intuition
Taylor and Maclaurin Series
Taylor and Maclaurin Series 2
Finding a Taylor Series Expansion 1
Finding a Taylor Series Expansion 2
Applications of Taylor Series
Exam Practice Part I
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)
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)
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)
Improper Integral Type I
Improper Integral Type I
Improper Integral Type I
Improper Integral Type I
Improper Integral Type I
Improper Integral Type I
Improper Integral Type I
Improper Integral Type II
Improper Integral Type II
Improper Integral Type II
Improper Integral Type II
Improper Integral Type I and II
Comparison Test for Improper Integrals
Comparison Test for Improper Integrals
Comparison Test for Improper Integrals
Comparison Test for Improper Integrals
Comparison Test for Improper Integrals
Bonus Challenging Problem
Exam Practice Part II
Radius and Interval of Convergence
Radius and Interval of Convergence
Radius and Interval of Convergence
Radius and Interval of Convergence
Radius and Interval of Convergence
Radius and Interval of Convergence
From Power Series to New Series
Power Series with Different Center
Finding Sum with Power Series
Finding Sum with Power Series
Taylor Series of known Functions
Taylor Series of known Functions
Taylor Series of known Functions
Taylor Series of known Functions
Taylor Series of known Functions
Maclaurin Series of Known Functions
Taylor Series of known Functions
Taylor Series Expansion
Applications of Taylor Series
Application of Taylor Series
Taylor Series Applications
Applications of Taylor Series
Applications of Taylor Series
Exam Practice Part III
Convergence of Sequences
Convergence of Sequences
Convergence of Sequences
Convergence & Limit of Sequences
Convergence & Limit of Sequences
The Nth-Term Test
The Nth-Term Test
The Nth-Term Test
The N-th Term Test
The N-th Term Test
The Nth-Term Test
The N-th Term Test
The N-th Term Test & Root Test
The Nth-Term Test & Root Test
The Root Test
The Root Test
The Ratio Test
The Ratio Test
The Ratio Test
The Ratio Test
The Ratio Test
The Integral Test
The Integral Test
Direct Comparison Test
Direct Comparison Test
Direct Comparison Test
Limit Comparison Test
Limit Comparison Test
Limit Comparison Test
Limit Comparison Test
Limit Comparison Test
Limit Comparison Test
Alternating Series Test
Alternating Series Test
Alternating Series Test
Geometric Series
Geometric Series
Geometric Series
Geometric Series
Geometric Series
Telescoping Series
Telescoping Series
(NEW) Spring 2022 Exam
Improper Integrals
Improper Integral: Infinite Region
Convergence of Sequences
Geometric and Telescoping Series
Geometric Series
Radius & Interval of Convergence
Convergence Test for Series
Convergence Test for Series
Convergence Test for Series
Ratio Test & Alternating Series Test
Alternating Series Test
Partial Sum & Convergence
Taylor Series Expansion
Taylor Series Expansion
Taylor Series Expansion
(NEW) Spring 2024 EXAM
L'Hopital's Rule
Convergence of Sequences
Improper Integrals
Comparison Test for Improper Integrals
Improper Integrals: Infinite Region
Convergence Tests for Series I
Convergence Tests for Series II
Convergence Tests for Series III
Convergence Tests for Series IV
Taylor and Maclaurin Series Expansion
True / False: Geometric Series
True / False: Divergence or not ?
Plane and Line Equations in Space
Review Problems
Convergence Tests for Series
Convergence Tests for Series
Radius of Convergence
Radius of Convergence
Maclaurin Series
Taylor Series 1
Taylor Series 2
Taylor Series 3
Taylor Series 4
Taylor Series 5
Sıkça Sorulan Sorular
Örneğin, Koç Üniversitesi - MATH 101 (Calculus) veya başka bir okulun benzer dersi olsun, paketlerimiz tam da o derse göre tasarlanır. Böylece nokta atışı çalışır, zaman kazanırsın.
Sınava özel videolar —konu anlatımları, çıkmış sorular ve çözümleri, özet notlar—içerir. Sınavda sıkça çıkan soruları hedefler. Eğitmenlerimiz, üniversitenin akademik takvimini takip ederek paketleri sürekli günceller. Böylece, gereksiz detaylarla vakit kaybetmeden başarını artırmaya odaklanabilirsin.