# MATH 152 • Calculus II • Midterm I

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

## Konular

Ders Tanıtımı

Introduction to Sequences

Bounded Sequences

Limit of a Sequence

Convergence of a Sequence

Recursive Sequences

Series : Partial Sums

Geometric Series & Harmonic Series

Telescoping Series

Operations in Series

Sequences

Sequences

Telescoping Series

Geometric Series

Geometric Series

Geometric Series

Geometric Series

Geometric Series

Geometric Series

Geometric Series

Geometric Series

Geometric Series

Geometric Series

Geometric Series

Ücretsiz

Geometric Series

Geometric Series

Ücretsiz

Geometric Series - Problem

Geometric Series - Problem

Ücretsiz

Geometric Series - Problem

Ücretsiz

The Nth-Term Test

The Integral Test

Ücretsiz

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

Sequences and The N th-Term Test

The Nth-Term Test

The Nth-Term Test

The Nth-Term Test

The Nth-Term Test

The Nth-Term Test

The Nth-Term Test

The Nth-Term Test

Ücretsiz

The Nth-Term Test and Geometric Series

The Integral Test

Ücretsiz

The Integral Test

p Test and Direct Comparison Test

Direct Comparison 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

Limit Comparison Test

Ratio Test

Ratio Test

Ratio Test

Ratio Test

Root Test

Root Test

Root Test

The Nth-Term Test & Root Test

Ratio Test and Root Test

Ratio Test and Limit Comparison Test

Limit of a Sequence

Limit of a Sequence

Limit of a Sequence

Introduction to Absolute Convergence

Absolute Convergence Theorem

Alternating Series Test I

Alternating Series Test II

Conditional Convergence I

Conditional Convergence II

What is a Power Series?

Ücretsiz

Convergence of a Power Series

Convergence on Endpoints

Operations on Power Series

Finding a Power Series Expansion

Power Series with Different Centers

Alternating Series Test

Alternating Series Test

Alternating Series Test

Alternating Series Test

Generalized Ratio Test

Absolute and Conditional Convergence

Absolute Convergence

Absolute 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

Radius and Interval of Convergence

Radius and Interval of Convergence

Ücretsiz

Radius and Interval of Convergence

Ücretsiz

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 1

Applications of Taylor Series 2

Taylor Polynomial 1

Taylor Polynomial 2

Taylor Series

Taylor Series

Taylor Series

Taylor Series

Taylor Series

Taylor Series

Taylor Series

Taylor Polynomial

Taylor Polynomial

Taylor Polynomial

Taylor Polynomial

Taylor Polynomial

Ücretsiz

Limit with Taylor Series

Limit with Taylor Series

Ücretsiz

Limit with Taylor Series

Limit with Taylor Series

Limit with Taylor Series

Taylor Series by Definition and Applications

Ücretsiz

Taylor Series by Definition and Applications

Taylor Series Applications

Taylor Series Applications

Taylor Series Applications

Taylor Series Applications

Sequences

Ücretsiz

Sequences

Ücretsiz

Geometric Series

Ücretsiz

Geometric Series

Nth Term

Ücretsiz

p Series (Test)

Ücretsiz

Integral Test

Ücretsiz

Direct Comparison Test

Ücretsiz

Direct Comparison Test and Sequences

Ücretsiz

Power Series

Power Series

Power Series

Ücretsiz

Power Series

Taylor Series

Taylor Polynomial

Ücretsiz

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

Dot Product & Unit Vector

Angle between Vectors

Projection & Cross Product

Cross Product Applications

Cross Product Applications

Cross Product Applications

Cross Product Applications

Equation of a Plane

Equation of a Plane

Equation of a Plane and Cross Product Applications

Paralellism & Perpendicularity of Planes

Equation of a Plane

Equation of a Plane

Equation of a Plane

Ücretsiz

Equation of a Plane

Coplanarity

Intersection of Planes

Ücretsiz

Intersection of Planes

Intersection of Lines

Planes and Lines

Planes and Lines

Plane and Lines

Planes and Lines

Ücretsiz

Plane and Lines

Planes and Lines

Ücretsiz

Angle between Planes

Angle between Lines

Distance of a Point to Lines & Planes

Distance of a Point to Lines & Planes

Distance of a Point to Lines & Planes

Ücretsiz

Distance of a Point to Lines & Planes

Ücretsiz

## 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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