# MAT 1052 • Calculus II • Final

## Konular

Introduction to Sequences

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Bounded Sequences

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Limit of a Sequence

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Exam like Question 1-2-3

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Exam like Question 4-5

Convergence of a Sequence

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Exam like Question 6-7

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Exam like Question 8-9

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Exam like Question 10-11

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Recursive Sequences 1

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Recursive Sequences 2

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Exam like Question 12

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Series : Partial Sums

Geometric Series & Harmonic Series

Exam like Question 1-2

Telescoping Series

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The Nth-Term Test

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Exam like Question 6-7

Combining Series

The Integral Test

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P test & Comparison Test 1

Comparison Test 2

Comparison Test 3

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The Limit Comparison Test 1

The Limit Comparison Test 2

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The Ratio Test

The Root Test

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Introduction to Absolute Convergence

Absolute Convergence Theorem

Introduction to Alternating Series Test

Alterneting Series and Conditional Convergence

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A Very Important Question

What is a Power Series?

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Convergence of a Power Series

Exam like Question 1-2-3

Convergence on Endpoints

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Term by Term Differentiation

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Finding a Power Series Expansion

Power Series with Different Centers

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Taylor Series : Intuition

Taylor and Maclaurin Series

Taylor and Maclaurin Series 2

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Finding a Taylor Series Expansion 1

Finding a Taylor Series Expansion 2

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Applications of Taylor Series 1

Applications of Taylor Series 2

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Taylor Polynomial 1

Taylor Polynomial 2

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Distance Between Points 1

Cosine Theorem in 3D & Euclidean N-Space

Vectors: Arithmetic, Parallelism and Unit Vector

Angles between Vectors : Dot Product

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Vector Projection

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Cross Product of Vectors

Applications of Cross Product

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Plane Equations

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Line Equations 1

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Line Equations 2

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Distance of a Point to Lines & Planes

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Intersection of Planes

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Intersection of Planes and Lines

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Position Vectors 1 : Velocity,Speed,Acceleration

Position Vectors 2 : Velocity,Speed,Acceleration

Position Vectors 3 : Velocity,Speed,Acceleration

Position Vectors 4 : Velocity,Speed,Acceleration

Position Vectors 5: Velocity, Speed, Acceleration

Position Vectors 6: Velocity, Speed, Acceleration

Position Vectors 7: Velocity, Speed, Acceleration

Parameterization of the Curves 1

Parameterization of the Curves 2

Parameterization of the Curves 3

Parameterization of the Curves 4

Parameterization of the Curves 5

Length of the Curves 1

Length of the Curves 2

Length of the Curve 3

Length of the Curve 4

Length of the Curves 5

Length of the Curves 6

Unit Tangent, Unit Normal, Binormal Vectors 1

Unit Tangent, Unit Normal, Binormal Vectors 2

Unit Tangent, Unit Normal, Binormal Vectors 3

Unit Tangent, Unit Normal, Binormal Vectors 4

Curvature 1

Curvature 2

Curvature 3

Curvature 4

Torsion 1

Torsion 2

Domain of Functions

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Level Curves

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Level Curves and Level Surfaces

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Limits of Multivariable Functions 1

Limits of Multivariable Functions 2

Limits of Multivariable Functions 3

Continuity of Multivariable Functions 1

Continuity of Multivariable Functions 2

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Limit Definition of Partial Derivative 1

Limit Definition of Partial Derivative 2

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Partial Differentiation Rules 1

Partial Differentiation Rules 2

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Higher Order Partial Differentiation

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Chain Rule 1

Chain Rule 2

Chain Rule 3

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Equation of a Tangent Plane 1

Equation of a Tangent Plane 2

Horizontal Tangent Plane

Normal Vector to a Multivariable Function

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Ücretsiz

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Linear Approximation

Directional Derivative

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Extreme Values

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Extreme Values on Restricted Regions 1

Extreme Values on Restricted Regions 2

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Intuition: Double Integrals

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Volume Calculation with Double Integration

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Area Calculation with Double Integral

Sketching the Area of Integration 1

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Sketching the Area of Integration 2

Sketching the Area of Integration 3

Reversing the Order of Integration 1

Reversing the Order of Integration 2

Reversing the Order of Integration 3

Reversing the Order of Integration 4

Sketching & Reversing the Integration Area

Cartesian to Polar Coordinates 1

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Cartesian to Polar Coordinates 2

Polar to Cartesian Coordinates

Double Integrals in Polar Coordinates 1

Double Integrals in Polar Coordinates 2

Double Integrals in Polar Coordinates 3

Double Integrals in Polar Coordinates 4

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Introduction to Triple Integrals

Triple Integrals 2

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Triple Integrals 3

Important Functions and Their Graphs

Triple Integrals 4

Triple Integrals 5

Triple Integrals 6

Reversing the Order of Triple Integrals

Volume with Double or Triple Integral 1

Volume with Double or Triple Integral 2

Volume with Double or Triple Integral 3

Cylindrical Coordinates 1

Cylindrical Coordinates 2

Change of Variable in Triple Integrals

Change of Variable: Cartesian to Cylindrical

Triple Integral in Cylindrical Coordinates 1

Triple Integral in Cylindrical Coordinates 2

Triple Integral in Cylindrical Coordinates 3

Triple Integral in Cylindrical Coordinates 4

Triple Integral in Cylindrical Coordinates 5

Triple Integral in Cylindrical Coordinates 6

Spherical Coordinates 1

Spherical Coordinates 2

Change of Variable: Cartesian to Spherical

Triple Integral in Spherical Coordinates 1

Triple Integral in Spherical Coordinates 2

Triple Integral in Spherical Coordinates 3

Triple Integral in Spherical Coordinates 4

Triple Integral in Spherical Coordinates 5

Triple Integral in Spherical Coordinates 6

Triple Integral in Spherical Coordinates 7

Triple Integral in Spherical Coordinates 8

Choose your side 1: Spherical or Cylindrical

Choose your side 2 : Cylindrical or Spherical or Cartesian

Choose your side 3 : Cylindrical or Spherical or Cartesian

Choose your side 4 : Cylindrical or Spherical or Cartesian

Vector Fields-1 (Vector Fields and Field Lines)

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Vector Fields-3 (Conservative Fields)

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Vector Fields-4 (Potential Function)

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Line Integral 1

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Line Integral 2

Line Integral 3

Line Integral 4

Line Integral 5

Line Integral-6 (Line integrals of vector fields)

Line Integral-7 (Line integrals of vector fields)

Green's Theorem

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Surface Integrals 1

Surface Integrals 2

Surface Integrals 3

Flux Integrals 1

Flux Integrals 2

Flux Integrals 3

Divergence Theorem

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Stoke's Theorem

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## 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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