FENS 102 • Final • Engineering Mathematics II
Atılım biz geldik! Üniversitedeki zor Matematik derslerinden biri olarak kabul edilen Math 152 dersi artık düşündüğün kadar zor değil! Dersimizde önce özet konu anlatımları ve kitaptaki ödev sorularının çözümleriyle öğrenecek, sonrasında son yılların çıkmış sınav sorularıyla antreman yapabileceksin.
Bu dersimizde sunduğumuz içerikler: 1. Sequences 2. Infinite Series 3. Convergence Tests for Positive Series 4. Absolute and Conditional Convergence 5. Power Series 6. Taylor and Maclaurin Series 7. Applications of Taylor and Maclaurin Series 8. Analytic Geometry in Three Dimensions 9. Vectors 10. The Cross Product in 3-Space 11. Planes and Lines
Eğitmen
Dorukhan Özcan
Co-Founder & CEO
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 - 2022 seneleri arasında CEO danışmanlığı yaptım. Koç Üniversitesi Endüstri Mühendisliği ve Ekonomi çift anadal programını tam burslu olarak, 3.96/4.00 not ortalamasıyla bitirdim. Kadıköy Modalıyım.
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Bu dersi alma kararını senin için kolaylaştıralım. Eğer memnun kalmazsan 30 gün içinde bize ulaş, 3'ten fazla içerik tamamlamadıysan iade alabilirsin. Koşullar
Konular
Parametric Equations
5 konu anlatımı
Parametric Equations 1
Parametric Equations 2
Parametric Equations 3
Calculus with Parametric Equations
Length of a Curve
Polar Coordinates
7 konu anlatımı · 9 soru
Cartesian to Polar Coordinates I
Cartesian to Polar Coordinates II
Polar to Cartesian Coordinates
Areas in Polar Coordinates I
Areas in Polar Coordinates II
Areas in Polar Coordinates III
Curve Length in Polar Coordinates
Curve Length in Polar Coordinates Exam Like Problem - 1
Curve Length in Polar Coordinates Exam Like Problem - 2
Area in Polar Coordinates Exam Like Problem - 1
Area in Polar Coordinates Exam Like Problem - 2
Area in Polar Coordinates Exam Like Problem - 3
Area in Polar Coordinates Exam Like Problem - 4
Area in Polar Coordinates Exam Like Problem - 5
Area in Polar Coordinates Exam Like Problem - 6
Area in Polar Coordinates Exam Like Problem - 7
Vectors and the Geometry of 3 Space
6 konu anlatımı
Distance Between Points
Vectors: Arithmetic, Parallelism and Unit Vector
Angles between Vectors: Dot Product
Vector Projection
Cross Product of Vectors
Applications of Cross Product
Plane and Line Equations
6 konu anlatımı
Plane Equations
Line Equations 1
Line Equations 2
Intersection of Planes
Intersection of Planes and Lines
Distance of a Point to Lines & Planes
Vector Valued Functions
11 konu anlatımı · 5 soru
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
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
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4-5-6
Exam like Question 7
Functions of Several Variables
4 konu anlatımı
Domain of Functions
Level Curves
Level Curves and Level Surfaces
Graphs of Surfaces
Limits and Continuity of Multivariable Functions
6 konu anlatımı
Limits of Multivariable Functions 1
Limits of Multivariable Functions 2
Limits of Multivariable Functions 3
Multivariable Squeeze Theorem
Continuity of Multivariable Functions
Limits with Polar Coordinates
Partial Derivatives
4 konu anlatımı
Limit Definition of Partial Derivative
Partial Differentiation Rules 1
Partial Differentiation Rules 2
Higher Order Partial Differentiation
The Chain Rule
3 konu anlatımı
Chain Rule 1
Chain Rule 2
Chain Rule 3
Implicit Differentiation
4 konu anlatımı
Implicit Differentiation I
Implicit Differentiation II
Implicit Differentiation III
Implicit Higher Differentiation
Gradient and Directional Derivatives
3 konu anlatımı
Gradient Vector
Directional Derivative
Gradient and Directional Derivative
Tangent Plane
4 konu anlatımı
Equation of a Tangent Plane 1
Equation of a Tangent Plane 2
Horizontal Tangent Plane
Normal Vector to a Multivariable Function
Linear (Tangent Plane) Approximation
1 konu anlatımı
Tangent Plane Approximation
Extreme Values
1 konu anlatımı · 4 soru
Extreme Values
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Extreme Values on Closed Regions
2 konu anlatımı
Extreme Values on Closed Regions 1
Extreme Values on Closed Regions 2
Optimization - Lagrange Multipliers
4 konu anlatımı · 1 soru
Lagrange Multipliers I
Lagrange Multipliers II
Optimization with Lagrange Multipliers 1
Optimization with Lagrange Multipliers 2
Lagrange Multipliers with Two Constraints
General Exam Review
34 soru
Limit
Limit
Limit
Limit
Definition of Partial Derivative
Definition of Partial Derivative
Partial Derivative
Partial Derivative
Partial Derivative
Partial Derivative
Higher Order Differentiation
Higher Order Differentiation
Partial Derivative - Implicit
Partial Derivative - Implicit - Formula
Chain Rule
Chain Rule
Chain Rule
Tangent Plane
Tangent Plane
Tangent Plane and Normal Line
Tangent Plane Approximation
Gradient and Tangent Plane
Gradient and Tangent Plane
Gradient and Directional Derivative
Gradient and Directional Derivative
Gradient and Directional Derivative
Extreme Values
Extreme Values
Extreme Values
Extreme Values on Closed Region
Extreme Values on Closed Region
Extreme Values on Closed Region
Lagrange Multipliers
Lagrange Multipliers
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