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Ücretsiz Dersi AlMATE 112 • Midterm I • Calculus II
Doğuş biz geldik! Üniversitedeki zor Matematik derslerinden biri olarak kabul edilen MATE 112 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. Diziler 2. Seriler. 3. Serilerin yakınsaklık kriterleri. 4. Alterne seriler 5. Kuvvet serileri 6. Taylor ve Maclaurin serileri 7. Düzlem eğrilerinin parametreleştirilmesi 8. Kutupsal koordinatlar 9. Düzlemde vektörler 10. Uzayda doğru ve düzlem denklemleri 11. Vektör değerli fonksiyonlar
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 Polynomial
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
Parametric Equations
Parametric Equations 1
Parametric Equations 2
Parametric Equations 3
Calculus with Parametric Equations
Length of a Curve
Polar Coordinates
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
Areas in Polar Coordinates 2
Exam Practice (Parametric Equations and Polar Coordinates)
Parametric Curves
Parametric Curves
Polar Coordinates
Area in Polar Coordinates
Area in Polar Coordinates
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
Vector-Valued Functions & Curves in Space
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
Exam Practice (Vector-Valued Functions)
Vector Valued Functions - Limit
Vector Valued Functions - Derivative
Vector Valued Functions - Derivative
Vector Valued Functions - Derivative
Tangent Line to Vector Functions
Unit Tangent Vector
Unit Tangent Vector
Unit Tangent Vector
Position Vectors: Velocity, Speed, Acceleration
Position Vectors: Velocity, Speed, Acceleration
Position Vectors: Velocity, Speed, Acceleration
Arc Length
Arc Length
Arc Length
Length of the Curves
Length of the Curves
Length of the Curve
Length of the Curve
Length of the Curves
Length of the Curves
Unit Tangent, Normal, Binormal
Curvature
Curvature
Unit Tangent Vector, Curvature, Arc Length
Integral of Vector Valued Functions
Integral of Vector Valued Functions
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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