MATH 102 • Final • Multivariable Calculus
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Sınava 13 gün kaldı.
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.
Konular
Double Integrals in Cartesian Coordinates
11 konu anlatımı
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
7 konu anlatımı · 17 soru
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
8 konu anlatımı
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
Double or Triple Integral
3 konu anlatımı
Volume with Double or Triple Integral 1
Volume with Double or Triple Integral 2
Volume with Double or Triple Integral 3
Triple Integrals in Cylindrical Coordinates
9 konu anlatımı
Cylindrical Coordinates 1
Cylindrical Coordinates 2
Change of Variable in Triple Integrals
Change of Variable: Cartesian to Cylindrical
Triple Integral in Cylindrical Coordinates 1
Triple Integral in Cylindrical Coordinates 2
Triple Integral in Cylindrical Coordinates 3
Triple Integral in Cylindrical Coordinates 4
Triple Integral in Cylindrical Coordinates 5
Triple Integrals in Spherical Coordinates
10 konu anlatımı
Spherical Coordinates 1
Spherical Coordinates 2
Change of Variable: Cartesian to Spherical
Triple Integral in Spherical Coordinates 1
Triple Integral in Spherical Coordinates 2
Triple Integral in Spherical Coordinates 3
Triple Integral in Spherical Coordinates 4
Triple Integral in Spherical Coordinates 5
Triple Integral in Spherical Coordinates 6
Triple Integral in Spherical Coordinates 7
Triple Integrals: Cylindrical, Spherical, or Cartesian
4 konu anlatımı
Choose your side 1: Spherical or Cylindrical
Choose your side 2: Cylindrical or Spherical or Cartesian
Choose your side 3: Cylindrical or Spherical or Cartesian
Choose your side 4: Cylindrical or Spherical or Cartesian
General Exam Review: Part I
23 soru
Reversing the Order of Integration 1
Reversing the Order of Integration 2
Double Integral 1
Double Integral 2
Area Between Curves in Polar Coordinates
Double Integral in Polar Coordinate 1
Double Integral in Polar Coordinate 2
Double Integral in Polar Coordinate 3
Double Integral in Polar Coordinate 4
Double Integral in Polar Coordinate 5
Double Integral in Polar Coordinate 6
Double Integral in Polar Coordinate 7
Change of Variable - Double Integral
Triple Integral in Cylindrical Coordinates
Double Integral & Triple Integral in Cylindrical Coordinates
Triple Integral in Spherical Coordinates
Triple Integral in Spherical Coordinates
Triple Integral in Cylindrical & Spherical Coordinates
Triple Integral in Cylindrical & Spherical Coordinates
Triple Integral in Cartesian & Cylindrical & Spherical Coordinates
Triple Integral in Cartesian & Cylindrical & Spherical Coordinates
Triple Integral in Cartesian & Cylindrical & Spherical Coordinates
Triple Integral in Cartesian & Cylindrical & Spherical Coordinates
Review of Vector Functions
7 konu anlatımı
Vector Functions and Curves
Domain of a Vector Function
Limit of a Vector Function
Derivative of a Vector Function
Integral of a Vector Function
Arc Length
Arc Length Parametrization
Line Integrals
5 konu anlatımı
Line Integral 1
Line Integral 2
Line Integral 3
Line Integral 4
Line Integral 5
Vector Fields
4 konu anlatımı
Vector Fields and Field Lines
Conservative Fields
Potential Function
Line Integrals of Vector Fields
Green's Theorem
1 konu anlatımı · 14 soru
Green's Theorem
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General Exam Review: Part II
19 soru
Conservative Field & Potential 1
Conservative Field & Potential 2
Conservative Field & Potential 3
Conservative Field & Potential 4
Conservative Field & Potential 5
Conservative Field & Potential 6
Conservative Field & Line Integral
Line Integrals 1
Line Integrals 2
Line Integrals 3
Line Integral 4
Line Integral 5
Line Integrals of Vector Fields 1
Line Integrals of Vector Fields 2
Divergence and Curl
Green's Theorem 1
Green's Theorem 2
Green's Theorem 3
Green's Theorem 4
Spring 2025 Final Exam
4 soru
Space Curve & Tangent line & Arc Length
Limits of Multivariable Functions
Double Integrals in Cartesian Coordinates
Tangent Plane & Gradient
Spring 2024 Final Exam
4 soru
Double Integral
Vector Functions
Implicit Differentiation-Normal Line and Linearization
Tangent Plane and Directional Derivative
Fall 2024 Final Exam
5 soru
Double Integral
Triple Integral
Line Integral
Conservative Field & Line Integral
Green's Theorem
Değerlendirmeler
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Yazılım Mühendisliği
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