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Ücretsiz Dersi AlMATH 152 • Midterm I • Calculus II
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
Sequences
Introduction to Sequences
Bounded Sequences
Limit of a Sequence
Convergence of a Sequence
Recursive Sequences
Infinite Series
Series : Partial Sums
Geometric Series & Harmonic Series
Telescoping Series
Operations in Series
Exam Practice (Sequences, Partial Sums, Geometric and Telescoping 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
Geometric Series
Geometric Series
Geometric Series - Problem
Geometric Series - Problem
Geometric Series - Problem
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
Exam Practice (Convergence Tests)
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
The Nth-Term Test and Geometric Series
The Integral Test
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
Alternating Series, Absolute and Conditional Convergence
Introduction to Absolute Convergence
Absolute Convergence Theorem
Alternating Series Test I
Alternating Series Test II
Conditional Convergence I
Conditional Convergence II
Power Series
What is a Power Series?
Convergence of a Power Series
Convergence on Endpoints
Operations on Power Series
Finding a Power Series Expansion
Power Series with Different Centers
Exam Practice (Alternating Series Test and Power Series)
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
Radius and Interval of Convergence
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
Applications of Taylor Series 1
Applications of Taylor Series 2
Taylor Polynomials
Taylor Polynomial 1
Taylor Polynomial 2
Exam Practice (Taylor Series, Applications)
Taylor Series
Taylor Series
Taylor Series
Taylor Series
Taylor Series
Taylor Series
Taylor Series
Taylor Polynomial
Taylor Polynomial
Taylor Polynomial
Taylor Polynomial
Taylor Polynomial
Limit with Taylor Series
Limit with Taylor Series
Limit with Taylor Series
Limit with Taylor Series
Limit with Taylor Series
Taylor Series by Definition and Applications
Taylor Series by Definition and Applications
Taylor Series Applications
Taylor Series Applications
Taylor Series Applications
Taylor Series Applications
Exam Practice (True / False Problems)
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
Analytic Geometry in 3D : Vectors
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
Planes and Lines Equations
Plane Equations
Line Equations 1
Line Equations 2
Intersection of Planes
Intersection of Planes and Lines
Distance of a Point to Lines & Planes
Exam Practice (Vectors and the Geometry of Space)
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
Equation of a Plane
Coplanarity
Intersection of Planes
Intersection of Planes
Intersection of Lines
Planes and Lines
Planes and Lines
Plane and Lines
Planes and Lines
Plane and Lines
Planes and Lines
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
Distance of a Point to Lines & Planes
(NEW) Summer 2024 Exam Problems
Limit of a Sequence
Limit of a Sequence
Telescoping Series
Nth Term Test
Root Test
Limit Comparison Test - p-Test
Maclaurin Series
Power Series
Lines & Planes
Series
Eğitmen
Dorukhan ÖzcanCo-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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