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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
Increasing,Decreasing and Bounded Sequences
Convergence and Limit of Sequences
Monotonic Sequence Theorem
Recursive Sequences
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Infinite Series
Series : Partial Sums
Geometric Series
Harmonic Series
Telescoping Series
Operations in Series
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Convergence Tests for Infinite Series
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
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
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
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
Applications of Taylor Series 1
Applications of Taylor Series 2
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Taylor Polynomials
Taylor Polynomial 1
Taylor Polynomial 2
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Analytic Geometry in 3D : Vectors
Distance Between Points
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
Functions of Several Variables and Surfaces
Domain of Multivariable Functions
Level Curves
Level Curves and Level Surfaces
Graphs of Surfaces
Exam Practice: Analytic Geometry
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
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
(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
(NEW) FALL 2024 Exam Problems
Sequences
Sequences
Infinite Series
Convergence Tests
Convergence Tests
Convergence Tests
Convergence Tests
Power Series and Convergence
Maclaurin Series
Maclaurin Series
Plane Equations
Vectors
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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