MATH 102 • Midterm • Engineering Mathematics II
Ostim Teknik biz geldik! Üniversitedeki zor Matematik derslerinden biri olarak kabul edilen Math 102 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.
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.
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Konular
Derivative of Inverse Function
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Derivative of Inverse
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Indeterminate Forms (L'Hopital's Rule)
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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
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Integration Rules I
Integration Rules II
Integral of Trigonometric Functions I
Integral of Trigonometric Functions II
Integral of Exponential Functions
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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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 · 12 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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Error Estimation Problems
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Estimation with Error 1
Estimation with Error 2
Estimation with Error 3
Estimation with Error 4
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
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