MATH 203 • Final • Multivariable Calculus
“Çok sağlam soru anlatımı, kesinlikle önerilir”
Arda Ağış
Bilgisayar Mühendisliği
Bu ders ile hem bir sürü soru çözmüş, hem kendini denemiş, hem de konuların püf noktalarını öğrenmiş olacaksın.
Kolayca yüksek notlar alabilmen için özenle hazırlanmış video derslerlerimizi izle. Çıkma ihtimali yüksek ve çıkmış soruların soru çözümleriyle sınava en iyi şekilde hazırlan. Hızını sen ayarla. İstediğin yerde hızlandırır, dersleri istediğin kadar tekrar et.
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.
Paketi Tamamla
🎓 Koç Üniversitesinde öğrencilerin %92'si tüm paketi alarak çalışıyor.
Konular
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
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
Double or Triple Integral
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
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 Integral in Cylindrical Coordinates 6
Triple Integrals in Spherical Coordinates
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 Integral in Spherical Coordinates 8
Cylindrical, Spherical, or Cartesian
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
Sample Exam Part I
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
Double Integral in Polar Coordinate 8
Double Integral in Polar Coordinate 9
Double Integral in Polar Coordinate 10
Sample Exam Part II
Triple Integrals in Cylindrical Coordinates
Triple Integrals in Cylindrical Coordinates
Triple Integrals in Spherical Coordinates
Triple Integrals in Spherical Coordinates
Triple Integrals in Spherical Coordinates
Spherical Coordinates or Cylindrical Coordinates ?
Spherical Coordinates or Cylindrical Coordinates ?
Spherical Coordinates or Cylindrical Coordinates ?
Vector Functions (Review from Midterm)
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
Line Integral 1
Line Integral 2
Line Integral 3
Line Integral 4
Line Integral 5
Vector Fields & Line Integrals of Vector Fields
Vector Fields and Field Lines
Conservative Fields
Potential Function
Line Integrals of Vector Fields
Surface Integrals
Surface Integrals I
Surface Integrals II
Surface Integrals III
Flux Integrals
Flux Integrals I
Flux Integrals II
Flux Integrals III
Green's Theorem
Green's Theorem
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam like Question 10
Exam like Question 11
Exam like Question 12
Exam like Question 13
Exam like Question 14
Sample Exam Part III
Conservative Field & Potential 1
Conservative Field & Potential 2
Conservative Field & Potential 3
Conservative Field & Potential 4
Conservative Fields, Potentials and Line Integrals (Important)
Line Integrals 1
Line Integrals 2
Line Integrals 3
Line Integrals 4
Line Integrals 5
Line Integrals of Vector Fields 1
Line Integrals of Vector Fields 2
Line Integrals of Vector Fields 3
Divergence and Curl
Surface Integral 1
Surface Integral 2
Surface Integral 3 (Important)
Surface Integral 4 (Important)
Green's Theorem I
Green's Theorem II
Green's Theorem III
Green's Theorem (Fall 2022)
(NEW) Fall 2023 Exam Problems
Problem 1
Problem 2
Problem 3
Problem 4
(New) Spring 2024 Exam Problems
Lines
Volume
(Hidden) Directional Derivative
Unit Vector, Curvature and Torsion
Area
Line Integral
(Hidden) Double Integral
Volume
Surface Integral
(Bonus) Fall 2025 Practice Final Problems
Arc Length of Vector Functions
Arc Length of Vector Functions
Arc Length of Vector Functions
Equation of a Plane
Limit of Multivariable Functions
Limit of Multivariable Functions
Multiple Choice: Limit of Multivariable Functions
Multiple Choice: Partial Derivative
Multiple Choice: Higher Order Derivative
Multiple Choice: The Chain Rule
Multiple Choice: Extreme Values - Saddle Points
Gradient, Directional derivative, Maximum Rate of Increase
Lagrange Multipliers
Reversing the Order of Integration
Double Integrals in Poolar Coordinates
Triple Integrals in Cylindrical Coordintes
Conservative Field and Potential Function
Change of Variable: The Jacobian
Change of Variable: The Jacobian
Değerlendirmeler
Birkaç soruda hata vardı ama genel olarak iyi.
İkinci kez alıyorum sınavımdan yüksek almamı sağladı
Dorukhan hocanın mükemmel anlatımıyla konuları pekiştirip sınava çok yakın benzerlikteki soruları çözerek sınava harika hazırlanıyorsunuz
Ders İçeriği
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
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
Double or Triple Integral
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
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 Integral in Cylindrical Coordinates 6
Triple Integrals in Spherical Coordinates
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 Integral in Spherical Coordinates 8
Cylindrical, Spherical, or Cartesian
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
Sample Exam Part I
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
Double Integral in Polar Coordinate 8
Double Integral in Polar Coordinate 9
Double Integral in Polar Coordinate 10
Sample Exam Part II
Triple Integrals in Cylindrical Coordinates
Triple Integrals in Cylindrical Coordinates
Triple Integrals in Spherical Coordinates
Triple Integrals in Spherical Coordinates
Triple Integrals in Spherical Coordinates
Spherical Coordinates or Cylindrical Coordinates ?
Spherical Coordinates or Cylindrical Coordinates ?
Spherical Coordinates or Cylindrical Coordinates ?
Vector Functions (Review from Midterm)
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
Line Integral 1
Line Integral 2
Line Integral 3
Line Integral 4
Line Integral 5
Vector Fields & Line Integrals of Vector Fields
Vector Fields and Field Lines
Conservative Fields
Potential Function
Line Integrals of Vector Fields
Surface Integrals
Surface Integrals I
Surface Integrals II
Surface Integrals III
Flux Integrals
Flux Integrals I
Flux Integrals II
Flux Integrals III
Green's Theorem
Green's Theorem
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Exam like Question 7
Exam like Question 8
Exam like Question 9
Exam like Question 10
Exam like Question 11
Exam like Question 12
Exam like Question 13
Exam like Question 14
Sample Exam Part III
Conservative Field & Potential 1
Conservative Field & Potential 2
Conservative Field & Potential 3
Conservative Field & Potential 4
Conservative Fields, Potentials and Line Integrals (Important)
Line Integrals 1
Line Integrals 2
Line Integrals 3
Line Integrals 4
Line Integrals 5
Line Integrals of Vector Fields 1
Line Integrals of Vector Fields 2
Line Integrals of Vector Fields 3
Divergence and Curl
Surface Integral 1
Surface Integral 2
Surface Integral 3 (Important)
Surface Integral 4 (Important)
Green's Theorem I
Green's Theorem II
Green's Theorem III
Green's Theorem (Fall 2022)
(NEW) Fall 2023 Exam Problems
Problem 1
Problem 2
Problem 3
Problem 4
(New) Spring 2024 Exam Problems
Lines
Volume
(Hidden) Directional Derivative
Unit Vector, Curvature and Torsion
Area
Line Integral
(Hidden) Double Integral
Volume
Surface Integral
(Bonus) Fall 2025 Practice Final Problems
Arc Length of Vector Functions
Arc Length of Vector Functions
Arc Length of Vector Functions
Equation of a Plane
Limit of Multivariable Functions
Limit of Multivariable Functions
Multiple Choice: Limit of Multivariable Functions
Multiple Choice: Partial Derivative
Multiple Choice: Higher Order Derivative
Multiple Choice: The Chain Rule
Multiple Choice: Extreme Values - Saddle Points
Gradient, Directional derivative, Maximum Rate of Increase
Lagrange Multipliers
Reversing the Order of Integration
Double Integrals in Poolar Coordinates
Triple Integrals in Cylindrical Coordintes
Conservative Field and Potential Function
Change of Variable: The Jacobian
Change of Variable: The Jacobian
Sıkça Sorulan Sorular
Örneğin, Koç Üniversitesi - MATH 101 (Calculus) veya başka bir okulun benzer dersi olsun, paketlerimiz tam da o derse göre tasarlanır. Böylece nokta atışı çalışır, zaman kazanırsın.
Sınava özel videolar —konu anlatımları, çıkmış sorular ve çözümleri, özet notlar—içerir. Sınavda sıkça çıkan soruları hedefler. Eğitmenlerimiz, üniversitenin akademik takvimini takip ederek paketleri sürekli günceller. Böylece, gereksiz detaylarla vakit kaybetmeden başarını artırmaya odaklanabilirsin.