 # MATH 102 • Calculus II • Midterm II

Bilkent biz geldik! Üniversitedeki en zor Matematik dersi olarak kabul edilen Math 102 dersi artık düşündüğün kadar zor değil! Dersimizde önce özet konu anlatımları ve kitaptaki ödev sorularının çözümleriyle öğrenecek, sonrasında son 10 yılın tüm çıkmış sınav sorularıyla antreman yapabileceksin.

Bu dersimizde sunduğumuz içerikler sırasıyla: 1) Analytic Geometry in 3D : Vectors 2)Analytic Geometry in 3D : Planes and Lines 3)Analytical Geometry Before Exam Problems 4)Parametric Equations 5)Multivariable Functions (Limits and Continuity) 6)Partial Differentiation (Tangent Plane & Chain Rule) 7)Linear Approximation and Implicit Differentiation 8)Gradient and Directional Derivative 9)Extreme Values and Lagrange Multiplier

Ders Tanıtımı

Distance Between Points 1

Cosine Theorem in 3D & Euclidean N-Space

Vectors: Arithmetic, Parallelism and Unit Vector

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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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Parametric Equations-1

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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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Linear Approximation

Implicit Differentiation

Directional Derivative

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Extreme Values

Extreme Values on Restricted Regions 1

Extreme Values on Restricted Regions 2

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Lagrange Multiplier 1

Lagrange Multiplier 2

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Lagrange Multiplier 4

Lagrange Multiplier 5

## Eğitmen Gürkan H.
Öğr. Üy.

Orta Doğu Tekn. Üni.'den derece ile mezun olduktan sonra yüksek lisans ve doktora çalışmalarımı da yurt dışında tamamladım. Ardından aynı üniversitede öğretim üyesi olarak görev yaptım. Üniversite öğrencisi olmanın ne demek olduğunu unutmayarak, dersleri öğrencilerimin gözünden anlatmanın ve onlara özel anlama yolları geliştirmenin önemini çok iyi biliyorum. Öğretmenin aslında bir "sanat" olduğunu biliyorum ve bu sanatı sizlere gösterebilmek için buradayım.

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