MATH 122MidtermMathematics II

Üniversitedeki zor Matematik derslerinden biri olarak kabul edilen Math 158 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. Vectors 9. The Cross Product in 3-Space 10. Planes and Lines 11. Polar Coordinates

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Dorukhan Özcan

Dorukhan Özcan

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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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Bu dersi alma kararını senin için kolaylaştıralım. Eğer memnun kalmazsan 30 gün içinde bize ulaş, 3'ten fazla içerik tamamlamadıysan iade alabilirsin. Koşullar

Konular

Ders Tanıtımı

Intuition of Improper Integrals

Convergence of Improper Integrals

Ücretsiz

P test for Improper Integrals

Direct Comparison Test 1

Direct Comparison Test 2

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Introduction to Sequences

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Increasing, Decreasing and Bounded Sequences

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Convergence and Limit of Sequences

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Monotonic Sequence Theorem

Recursive Sequences

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Series: Partial Sums

Geometric Series

Harmonic Series

Telescoping Series

Operations in Series

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The Nth-Term Test

The Integral Test

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P Test

The Ratio Test

The Root Test

Direct Comparison Test

The Limit Comparison Test

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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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What is a Power Series?

Ücretsiz

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 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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Taylor Polynomial 1

Taylor Polynomial 2

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Distance Between Points

Cosine Theorem in 3D & Euclidean N-Space

Vectors: Arithmetic, Parallelism and Unit Vector

Angles between Vectors: Dot Product

Vector Projection

Cross Product of Vectors

Applications of Cross Product

Plane Equations

Line Equations 1

Line Equations 2

Intersection of Planes

Intersection of Planes and Lines

Distance of a Point to Lines & Planes

Polar Coordinates 1: Cartesian to Polar 1

Polar Coordinates 2: Cartesian to Polar 2

Polar Coordinates 3: Polar to Cartesian

Areas in Polar Coordinates

Area with Symmetry

Ücretsiz

Areas in Polar Coordinates 2

Parametric Equations 1

Parametric Equations 2

Parametric Equations 3

Calculus with Parametric Equations

Length of a Curve

Vector Functions and Curves

Domain of a Vector Function

Limit of a Vector Function

Derivative of a Vector Function

Integral of a Vector Function

Position, Velocity, Acceleration

Ücretsiz

Position, Velocity, Acceleration 2

Arc Length

Arc Length Parametrization

Tangent, Normal, Binormal Vectors and Curvature, Torsion

Calculation of Tangent, Normal, Binormal Vectors and Curvature, Torsion

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Mathematics II

MATH 122 • Final

Mathematics II

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MATH 122 • Midterm

Mathematics II

999 TL1199 TL%17
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1199 TL