MATH 132 • Calculus II • Final
Yeditepe biz geldik ! Üniversitedeki en zor Matematik dersi olarak kabul edilen Math 132 dersi artık düşündüğün kadar zor değil! Dersimizde önce özet konu anlatımlarıyla öğrenecek, sonrasında son yıllardaki çıkmış sınav sorularıyla antreman yapabileceksin.
Bu dersimizde sunduğumuz içerikler sırasıyla: 1) Functions of Several Variables 2) Partial Derivatives 3) Higher Order Derivatives 4) The Chain Rule 5) Tangent Plane 5) Linear Approximation 6) Gradients and Directional Derivative 7) Implicit Differentiation 8) Extreme Values 9) Lagrange Multiplier 10) Double Integrals in Cartesian Coordinates 11) Double Integrals in Polar Coordinates 12) Triple Integrals 13) Change of Variables in Triple Integrals
Functions of Several Variables
Domain of Functions
Limits of Multivariable Functions 1
Limits of Multivariable Functions 2
Limits of Multivariable Functions 3
Continuity of Multivariable Functions
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Partial Derivatives
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
Tangent Plane
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
Tangent Plane Approximation
Gradient and Directional Derivatives
Gradient Vector
Directional Derivative
Gradient and Directional Derivative
Implicit Partial Differentiation
Implicit Differentiation
Extreme Values
Extreme Values
Extreme Values on Restricted Domain 1
Extreme Values on Restricted Domain 2
Lagrange Multipliers
Optimization With Lagrange Multipliers
Lagrange Multipliers Example-1
Lagrange Multipliers Example-2
Lagrange Multipliers Example-3
Lagrange Multipliers Example-4
Lagrange Multipliers Example-5
Double Integrals
Intuition: Double Integrals
Volume Calculation with Double Integration
Area Calculation with Double Integral
Sketching the Area of Integration 1
Sketching the Area of Integration 2
Sketching the Area of Integration 3
Reversing the Order of Integration 1
Reversing the Order of Integration 2
Reversing the Order of Integration 3
Reversing the Order of Integration 4
Sketching & Reversing the Integration Area
Double Integrals in Polar Coordinates
Cartesian to Polar Coordinates 1
Cartesian to Polar Coordinates 2
Polar to Cartesian Coordinates
Double Integrals in Polar Coordinates 1
Double Integrals in Polar Coordinates 2
Double Integrals in Polar Coordinates 3
Double Integrals in Polar Coordinates 4
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Triple Integrals
Introduction to Triple Integrals
Triple Integrals 2
Triple Integrals 3
Important Functions and Their Graphs
Triple Integrals 4
Triple Integrals 5
Triple Integrals 6
Reversing the Order of Triple Integrals
Eğitmen
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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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