MATH 203Multivariable CalculusMidterm I

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Ders Tanıtımı

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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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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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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Chain Rule 1

Chain Rule 2

Chain Rule 3

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Gradient Vector

Directional Derivative

Gradient and 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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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

Eğitmen

Dorukhan ÖzcanDorukhan Özcan
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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 senesinden beri CEO danışmanlığı yapıyorum. "Ben Matematik yapamıyorum" diye yakınan öğrencilere matematik öğretmek amacıyla tasarladığım "Reflekslerle Matematik" sisteminin kurucusuyum. En çok gurur duyduğum projem olan Reflekslerle Matematik sistemi yayınlandığı günden itibaren 500.000 den fazla öğrencinin matematik öğrenmesine yardımcı oldu ve her geçen gün ülke çapında yayılmaya devam ediyor. Halen Koç Üniversitesi Endüstri Mühendisliği ve Ekonomi çift anadal programını 3.96/4.00 not ortalamasıyla sürdürüyorum. Kadıköy Modalıyım.

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