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
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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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Analytic Geometry in 3D: Planes and Lines
Plane Equations
Line Equations 1
Line Equations 2
Distance of a Point to Lines & Planes
Intersection of Planes
Intersection of Planes and Lines
Analytical Geometry Problems
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Parametric Equations
Parametric Equations-1
Parametric Equations-2
Parametric Equations-3
Parametric Equations-4
Parametric Equations-5
Multivariable Functions
Domain of Functions
Level Curves
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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Partial Differentiation
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 and Implicit Differentiation
Linear Approximation
Implicit Differentiation
Gradient and Directional Derivative
Gradient Vector
Directional Derivative
Gradient and Directional Derivative
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Extreme Values and Lagrange Multiplier
Extreme Values
Extreme Values on Restricted Regions 1
Extreme Values on Restricted Regions 2
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Lagrange Multiplier 1
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Lagrange Multiplier 3
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Lagrange Multiplier 5
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