# MATH 102 • Calculus II • Midterm II

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

4.5

#### En sevilenler

1. 2Ses ve Video Kalitesi
2. 1Eğitmen Anlatım Tarzı
3. 1Ders Organizasyonu

## Konular

Ders Tanıtımı

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

Plane Equations

Line Equations 1

Line Equations 2

Intersection of Planes

Intersection of Planes and Lines

Distance of a Point to Lines & Planes

Parametric Equations 1

Parametric Equations 2

Parametric Equations 3

Calculus with Parametric Equations

Length of a Curve

Vector Functions and Curves

Domain of a Vector Function

Limit of a Vector Function

Derivative of a Vector Function

Integral of a Vector Function

Position, Velocity, Acceleration

Ücretsiz

Position, Velocity, Acceleration 2

Arc Length

Arc Length Parametrization

Tangent, Normal, Binormal Vectors and Curvature, Torsion

Calculation of Tangent, Normal, Binormal Vectors and Curvature, Torsion

Domain of Functions

Level Curves

Limits of Multivariable Functions 1

Ücretsiz

Limits of Multivariable Functions 2

Limits of Multivariable Functions 3

The Squeeze Theorem

Continuity of Multivariable Functions

Exam like Question 1

Exam like Question 2

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 1

Equation of a Tangent Plane 2

Horizontal Tangent Plane

Normal Vector to a Multivariable Function

Linear Approximation

Ücretsiz

Implicit Differentiation

Directional Derivative

Extreme Values

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

Limit of Multivariable Functions 7

Limit of Multivariable Function 8

Limit of Multivariable Functions 9

Limit of Multivariable Functions 10

Limit of Multivariable Function 11

Continuity 1

Continuity 2

Bonus Problem: Limit & Continuity

Ücretsiz

Definition of Partial Derivative 1

Definition of Partial Derivative 2

Ücretsiz

Definition of Partial Derivative 3

Ücretsiz

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

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

Extreme Values 1

Extreme Values 2

Extreme Values 3

Extreme Values (Spring 2022)

Extreme Values (Spring 2018)

Tangent Plane (Spring 2013)

Chain Rule (Spring 2020)

Chain Rule (Spring 2011)

Tangent Plane & Chain Rule (Spring 2016)

Tangent Plane & Chain Rule (Spring 2014)

Gradient and Tangent Plane (Spring 2019)

Directional Derivative (Spring 2018)

Directional Derivative (Spring 2011)

Directional Derivative (Spring 2022)

Directional Derivative (Spring 2020)

Directional Derivative (Spring 2019)

Directional Derivative (Spring 2017)

Directional Derivative (Spring 2016)

Directional Derivative (Spring 2014)

Directional Derivative (Spring 2013)

Higher Order Differentiation (Spring 2016)

Higher Order Differentiation (Spring 2017)

Higher Order Differentiation (Spring 2015)

Higher Order Differentiation (Spring 2019)

Higher Order Differentiation (Spring 2018)

Higher Order Differentiation (Spring 2013)

Higher Order Differentiation (Spring 2010)

Higher Order Differentiation (Spring 2011)

Parametric Equations (2D)

Parametric Equations (2D)

Vector Valued Functions - Limit

Vector Valued Functions - Derivative

Tangent Line to Vector Functions

Integral of Vector Valued Functions

Integral of Vector Valued Functions

Position Vectors: Velocity, Speed, Acceleration

Position Vectors: Velocity, Speed, Acceleration

Position Vectors: Velocity, Speed, Acceleration

Position Vectors: Velocity, Speed, Acceleration

Position Vectors: Velocity, Speed, Acceleration

Arc Length

Arc Length

Arc Length

Arc Length

Unit Tangent Vector

Unit Tangent Vector, Curvature, Arc Length

Cross Product Applications

Equation of a Plane

Equation of a Plane

Equation of a Plane

Equation of a Plane

Equation of a Plane

Coplanarity

Intersection of Planes

Ücretsiz

Intersection of Planes

Intersection of Lines

Planes and Lines

Planes and Lines

Plane and Lines

Planes and Lines

Ücretsiz

Plane and Lines

Planes and Lines

Ücretsiz

Angle between Planes

Angle between Lines

Distance of a Point to Lines & Planes

Distance of a Point to Lines & Planes

Distance of a Point to Lines & Planes

Ücretsiz

Distance of a Point to Lines & Planes

Ücretsiz

Planes and Lines (Spring 2023)

Vector Functions (Spring 2015)

Tangent Plane (Spring 2023)

Tangent Plane (Spring 2021)

Vector Functions and Planes (Spring 2019)

Vector Functions,Planes and Lines (Spring 2020)

Vector Functions (Spring 2015)

Contour (Level) Curves 1

Contour (Level) Curves 2

Ücretsiz

Contour (Level) Curves 3

Contour (Level) Curves 4

Ücretsiz

Contour (Level) Curves 5

Ücretsiz

Graphical Problem 1

Ücretsiz

Graphical Problem 2

Graphical Problem 3

Graphical Problem 4

Ücretsiz

Graphical Problem 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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