MATH 102 • Final • Calculus II
“Baya sağlam ders.”
Eray Alagöz
Elektrik-Elektronik Mühendisliği
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) Double Integrals in Cartesian Coordinates 2)Coordinate Systems 1: Polar Coordinates 3)Analytical Geometry Before Exam Problems 4)Double Integral: Exam like Questions 5)Triple Integrals 6)Double or Triple Integrals 7)Coordinate Systems 2: Cylindrical Coordinates 8)Triple Integrals in Cylindrical Coordinates 9)Coordinate Systems 3: Spherical Coordinates 10)Triple Integrals in Spherical Coordinates 11)Triple Integral : Cylindrical or Spherical or Cartesian
Eğitmen
Gürkan Hoca
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.
Paketi Tamamla
🎓 Bilkent Üniversitesinde öğrencilerin %92'si tüm paketi alarak çalışıyor.
MATH 102 • Midterm I
Calculus II
Dorukhan Özcan
1599 TL
MATH 102 • Final
Calculus II
Gürkan Hoca
1599 TL
MATH 102 • Midterm II
Calculus II
Gürkan Hoca
1599 TL
Konular
Extreme Values on Closed Regions
Extreme Values
Extreme Values on Closed Regions 1
Extreme Values on Closed Regions 2
Lagrange Multipliers
Lagrange Multipliers I
Lagrange Multipliers II
Optimization with Lagrange Multipliers 1
Optimization with Lagrange Multipliers 2
Lagrange Multipliers with Two Constraints
Past Exams & Sample Final Part I
Extreme Values 1
Extreme Values 2
Extreme Values 3
Extreme Values 4
Extreme Values 5
Extreme Values on Closed Region 1
Extreme Values on Closed Region 2
Extreme Values: Restricted Region 3
Extreme Values: Restricted Region 4
Extreme Values: Restricted Region 5
Extreme Values on Closed Region 6
Lagrange Multipliers 1
Lagrange Multipliers 2
Lagrange Multipliers 3
Lagrange Multipliers 4
Lagrange Multipliers 5
Lagrange Multipliers 6
Double Integrals in Cartesian Coordinates
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
Past Exams & Sample Final Part II
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
Exam like Question 15
Exam like Question 16
Exam like Question 17
Exam like Question 18
Exam like Question 19
Exam like Question 20
Exam like Question 21
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 Integrals
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
Triple Integral: Cylindrical or 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
Past Exams & Sample Final Part III
Spring 2022: Double Integral in Polar Coordinates
Spring 2021: Double Integral in Polar Coordinates
Spring 2023: Cylindrical, Spherical or Cartesian Coordinates
Spring 2022: Cylindrical, Spherical or Cartesian Coordinates
Spring 2020: Cylindrical, Spherical or Cartesian Coordinates
Spring 2019: Cylindrical, Spherical or Cartesian Coordinates
Spring 2018: Cylindrical, Spherical or Cartesian Coordinates
Spring 2017: Spherical Coordinates
Change of Variables (Jacobian)
Change of Variables (Jacobian)
Change of Variables (Jacobian)
Spring 2017: Change of Variables (Jacobian)
Spring 2018: Change of Variables (Jacobian)
Spring 2022-2023 Extra Problems
Spring 2022 Exam: Extremums on Closed Regions
Spring 2022: Double Integrals in Cartesian Coordinates
Spring 2023: Double Integrals in Cartesian Coordinates
Spring 2023: Double Integrals in Polar Coordinates
Spring 2024 Final Exam
Spring 2024: Extremums on Closed Region
Spring 2024: Double Integrals in Cartesian Coordinates
Spring 2024: Double Integrals in Cartesian Coordinates
Cylindrical or Spherical Coordinates Part I
Cylindrical or Spherical Coordinates Part II
Transformation & Jacobian
Her şeyi çözdüm, ek soru yok mu?
Extreme Values on Closed Region
Extreme Values on Closed Region
Extreme Values on Closed Regio
Reversing the Order of Integration
Reversing the Order of Integration
Reversing the Order of Integration
Reversing the Order of Integration
Double Integral on Cartesian Coordinates
Double Integral on Cartesian Coordinates
Double Integral on Cartesian Coordinates
Double Integral in Polar Coordinates
Double Integral in Polar Coordinates
Double Integral in Polar Coordinates
Double Integral in Polar Coordinates
Double Integral in Polar Coordinates
Double Integral in Polar Coordinates
Değerlendirmeler
inanılmaz yardımcı oldu derslere gitmeden sırf buradaki sorularla çok güzel notlar aldım genel olarak
Baya sağlam ders.
Konu anlatımları biraz fazla uzun. Konulara nispeten hakim ancak pratik isteyen biri için sıkıcı olabiliyor.
Ders İçeriği
Extreme Values on Closed Regions
Extreme Values
Extreme Values on Closed Regions 1
Extreme Values on Closed Regions 2
Lagrange Multipliers
Lagrange Multipliers I
Lagrange Multipliers II
Optimization with Lagrange Multipliers 1
Optimization with Lagrange Multipliers 2
Lagrange Multipliers with Two Constraints
Past Exams & Sample Final Part I
Extreme Values 1
Extreme Values 2
Extreme Values 3
Extreme Values 4
Extreme Values 5
Extreme Values on Closed Region 1
Extreme Values on Closed Region 2
Extreme Values: Restricted Region 3
Extreme Values: Restricted Region 4
Extreme Values: Restricted Region 5
Extreme Values on Closed Region 6
Lagrange Multipliers 1
Lagrange Multipliers 2
Lagrange Multipliers 3
Lagrange Multipliers 4
Lagrange Multipliers 5
Lagrange Multipliers 6
Double Integrals in Cartesian Coordinates
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
Past Exams & Sample Final Part II
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
Exam like Question 15
Exam like Question 16
Exam like Question 17
Exam like Question 18
Exam like Question 19
Exam like Question 20
Exam like Question 21
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 Integrals
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
Triple Integral: Cylindrical or 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
Past Exams & Sample Final Part III
Spring 2022: Double Integral in Polar Coordinates
Spring 2021: Double Integral in Polar Coordinates
Spring 2023: Cylindrical, Spherical or Cartesian Coordinates
Spring 2022: Cylindrical, Spherical or Cartesian Coordinates
Spring 2020: Cylindrical, Spherical or Cartesian Coordinates
Spring 2019: Cylindrical, Spherical or Cartesian Coordinates
Spring 2018: Cylindrical, Spherical or Cartesian Coordinates
Spring 2017: Spherical Coordinates
Change of Variables (Jacobian)
Change of Variables (Jacobian)
Change of Variables (Jacobian)
Spring 2017: Change of Variables (Jacobian)
Spring 2018: Change of Variables (Jacobian)
Spring 2022-2023 Extra Problems
Spring 2022 Exam: Extremums on Closed Regions
Spring 2022: Double Integrals in Cartesian Coordinates
Spring 2023: Double Integrals in Cartesian Coordinates
Spring 2023: Double Integrals in Polar Coordinates
Spring 2024 Final Exam
Spring 2024: Extremums on Closed Region
Spring 2024: Double Integrals in Cartesian Coordinates
Spring 2024: Double Integrals in Cartesian Coordinates
Cylindrical or Spherical Coordinates Part I
Cylindrical or Spherical Coordinates Part II
Transformation & Jacobian
Her şeyi çözdüm, ek soru yok mu?
Extreme Values on Closed Region
Extreme Values on Closed Region
Extreme Values on Closed Regio
Reversing the Order of Integration
Reversing the Order of Integration
Reversing the Order of Integration
Reversing the Order of Integration
Double Integral on Cartesian Coordinates
Double Integral on Cartesian Coordinates
Double Integral on Cartesian Coordinates
Double Integral in Polar Coordinates
Double Integral in Polar Coordinates
Double Integral in Polar Coordinates
Double Integral in Polar Coordinates
Double Integral in Polar Coordinates
Double Integral in Polar Coordinates
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.