MATH 1002 • Midterm • Calculus II
Marmara Üniversitesi MATH 1002 (Calculus II) Midterm sınavına hazırlık paketi.
İşlenen konular: Sequences, Infinite Series, Convergence Tests for Infinite Series, Alternating Series, Absolute and Conditional Convergence, Power Series, Taylor and Maclaurin Series, Parametric Equations, Polar Coordinates, Analytic Geometry in 3D: Vectors, Planes and Lines Equations, Vector-Valued Functions & Curves in Space.
Ayda 399 TL, peşin fiyatına 3 taksit
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
11 bölüm • 124 içerik
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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Parametric Equations
5 konu anlatımı
Parametric Equations 1
Parametric Equations 2
Parametric Equations 3
Calculus with Parametric Equations
Length of a Curve
Polar Coordinates
7 konu anlatımı · 9 soru
Cartesian to Polar Coordinates I
Cartesian to Polar Coordinates II
Polar to Cartesian Coordinates
Areas in Polar Coordinates I
Areas in Polar Coordinates II
Areas in Polar Coordinates III
Curve Length in Polar Coordinates
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Area in Polar Coordinates Exam Like Problem - 1
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Analytic Geometry in 3D: Vectors
6 konu anlatımı
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
6 konu anlatımı
Plane Equations
Line Equations 1
Line Equations 2
Intersection of Planes
Intersection of Planes and Lines
Distance of a Point to Lines & Planes
Vector-Valued Functions & Curves in Space
11 konu anlatımı
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
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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