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
Analytic Geometry in 3D : Vectors
Distance Between Points 1
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
Limits of Multivariable Functions
Domain of Functions
Level Curves
Limits of Multivariable Functions 1
Limits of Multivariable Functions 2
Limits of Multivariable Functions 3
Continuity of Multivariable Functions
Exam like Question 1
Exam like Question 2
Partial Differentiation
Limit Definition of Partial Derivative
Partial Differentiation Rules 1
Partial Differentiation Rules 2
Higher Order Partial Differentiation
Chain Rule 1
Chain Rule 2
Chain Rule 3
Equation of a Tangent Plane
Equation of a Tangent Plane 1
Equation of a Tangent Plane 2
Horizontal Tangent Plane
Normal Vector to a Multivariable Function
Linear Approximation and Implicit Differentiation
Linear Approximation
Implicit Differentiation
Gradient and Directional Derivatives
Gradient Vector
Directional Derivative
Gradient and Directional Derivative
Extreme Values
Extreme Values
Extreme Values on Restricted Regions 1
Extreme Values on Restricted Regions 2
Lagrange Multipliers
Optimization With Lagrange Multipliers
Lagrange Multipliers Example-1
Lagrange Multipliers Example-2
Lagrange Multipliers Example-3
Review Problems for Final
Limit of Multivariable Functions 1
Limit of Multivariable Functions 2
Limit of Multivariable Functions 3
Limit of Multivariable Functions 4
Limit of Multivariable Functions 5
Limit of Multivariable Functions 6
Continuity 1
Continuity 2
Definition of Partial Derivative 1
Definition of Partial Derivative 2
Definition of Partial Derivative 3
Tangent Plane 1
Tangent Plane 2
Tangent Plane 3
Tangent Plane and Normal Line 1
Tangent Plane and Normal Line 2
Approximation 1
Approximation 2
Gradient and Tangent Plane 1
Gradient and Tangent Plane 2
Gradient and Tangent Plane 3
Gradient and Directional Derivative 1
Gradient and Directional Derivative 2
Gradient and Directional Derivative 3
Gradient and Directional Derivative 4
Gradient and Directional Derivative 5
Gradient and Directional Derivative 6
Higher Order Derivative 1
Higher Order Derivative 2
Higher Order Derivative 3
Chain Rule 1
Chain Rule 2
Chain Rule and Tangent Plane
Chain Rule and Higher Order Derivative
Sample Final : Bilkent Özel
Extreme Values
Extreme Values 2
Extreme Values: Restricted Region 1
Extreme Values: Restricted Region 2
Extreme Values: Restricted Region 3
Chain Rule 1
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Sample Final Part
Extreme Values 1
Extreme Values 2
Extreme Values 3
Extreme Values on Closed Region 1
Extreme Values on Closed Region 2
Extreme Values on Closed Region 3
Lagrange Multipliers 1
Lagrange Multipliers 2
Lagrange Multipliers 3
Lagrange Multipliers 4
Lagrange Multipliers 5
Lagrange Multipliers 6
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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