MATH 132 • Final • Calculus II
“Kesinlikle Tavsiye Ederim”
Ahmet Tarık Yanık
Genetik ve Biyomühendislik
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
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
🎓 Yeditepe Üniversitesinde öğrencilerin %92'si tüm paketi alarak çalışıyor.
MATH 132 • Midterm
Calculus II
Dorukhan Özcan
1799 TL
MATH 132 • Final
Calculus II
Dorukhan Özcan
1799 TL
Konular
Limits and Continuity of Multivariable Functions
Domain of Functions
Limits of Multivariable Functions 1
Limits of Multivariable Functions 2
Limits of Multivariable Functions 3
The Squeeze Theorem
Continuity of Multivariable Functions
Partial Derivatives
Limit Definition of Partial Derivative
Partial Differentiation Rules 1
Partial Differentiation Rules 2
Higher Order Partial Differentiation
The Chain Rule
Chain Rule 1
Chain Rule 2
Chain Rule 3
Equation of a 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
Final Practice Problems Part I
Limit of Multivariable Functions 1
Limit of Multivariable Functions 2
Limit of Multivariable Functions 3
Limit of Multivariable Functions 4
Limit of Multivariable Functions 5
Limit of Multivariable Functions 6
Limit of Multivariable Functions 7
Limit of Multivariable Functions 8
Limit of Multivariable Functions 9
Limit of Multivariable Functions 10
Continuity 1
Continuity 2
Definition of Partial Derivative 1
Definition of Partial Derivative 2
Partial Derivative 1
Partial Derivative 2
Partial Derivative 3
Partial Derivative 4
Partial Derivative 5
Partial Derivative 6
Higher Order Differentiation 1
Higher Order Differentiation 2
Higher Order Differentiation 3
Higher Order Differentiation 4
Higher Order Differentiation 5
Tangent Plane 1
Tangent Plane 2
Tangent Plane 3
Tangent Plane 4
Tangent Plane and Normal Line 1
Tangent Plane and Normal Line 2
Tangent Plane and Normal Line 3
Chain Rule 1
Chain Rule 2
Chain Rule 3
Chain Rule 4
Chain Rule 5
Chain Rule 6
Chain Rule and Tangent Plane
Gradient and Directional Derivatives
Gradient Vector
Directional Derivative
Gradient and Directional Derivative
Extreme Values
Extreme Values
Exam like Question 1
Exam like Question 2
Exam like Question 3
Extreme Values on Closed Regions
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 Using Gradient
Lagrange Multipliers with Two Constraints
Final Practice Problems Part II
Maxima-Minima and Saddle Points 1
Maxima-Minima and Saddle Points 2
Maxima-Minima and Saddle Points 3
Maxima-Minima and Saddle Points 4
Maxima-Minima and Saddle Points 5
Extreme Values on Closed Region 1
Extreme Values on Closed Region 2
Extreme Values on Closed Region 3
Extreme Values on Closed Region 4
Extreme Values on Closed Region 5
Extreme Values on Closed Region 6
Extreme Values on Closed Region 7
Lagrange Multipliers 1
Lagrange Multiplier 2
Lagrange Multiplier 3
Lagrange Multiplier 4
Lagrange Multiplier 5
Lagrange Multipliers 6
Final Practice Problems Part III
Gradient & Tangent Plane
Gradient & Tangent Plane
Gradient & Tangent Plane
Gradient, Tangent Plane and Normal Lines
Gradient, Tangent Plane and Normal Lines
Gradient & Directional Derivative
Directional Derivatives
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
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
Double Integral 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
Final Practice Problems Part IV
Double Integrals: Reversing the Order of Integration
Double Integrals: Reversing the Order of Integration
Double Integrals: Reversing the Order of Integration
Reversing the Order of Integration
Reversing the Order of Integration
Reversing the Order of Integration
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 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
Sınav Provası I: Fall 2023 Final Exam
Critical Points
Gradient and Directional Derivative
Double Integrals: Reversing the Order
Double Integral - Volume
Double Integral - Area
Double Integral - Polar Coordinates
Sınav Provası II: Spring 2024 Final Exam
Maclaurin Series
Limits of Multivariable Functions
Critical Points & Extreme Values
Directional Derivative
Equation of a Tangent Plane
Double Integral: Reversing the Order
Double Integral - Polar Coordinates
(NEW) Fall 2024 Final Exam
Convergence of Series: Alternating Series Test
Limits of Multivariable Functions
Gradient, Directional Derivative, Tangent Plane
Criticial Points, Max-Min-Saddle Points
Polar Coordinates & Reversing the Order
(NEW) Fall 2024 Bütünleme
Limit using Taylor Series
Limit of Multivariable Functions
Continuity of Multivariable Functions
Extreme Values on Closed Region
Implicit Differentiation
Polar Coordinates & Reversing the Order
(NEW) Spring 2025 Final Exam
Lines & Planes Equations
Limits of Multivariable Functions
Linear (Tangent Plane) Approximation
The Chain Rule
Gradient & Directional Derivatives
Criticial Points, Max-Min-Saddle Points
Lagrange Multipliers
Double Integral: Cartesian Coordinates
Double Integral: Reversing the Order
(NEW) Fall 2025 Mock Exam (Multiple Choices)
Domain of Multivariable Functions
Limits of Multivariable Functions
Limits of Multivariable Functions
Limits of Multivariable Functions
Limits of Multivariable Functions
Partial Derivative
Partial Derivative
Tangent Plane & Normal Line
Higher Order Derivative
The Chain Rule
Extreme Values & Saddle Points
Extreme Values & Saddle Points
Extreme Values on Closed Region
Extreme Values on Closed Region
Lagrange Multipliers
The Lagrange Multipliers
Double Integrals in Cartesian Coordinates
Double Integrals in Cartesian Coordinates
Double Integrals in Cartesian Coordinates
Reversing the Order of Integration
Reversing the Order of Integration
Double Integrals in Polar Coordinates
Double Integrals in Polar Coordinates
Double Integrals in Polar Coordinates
Volume by Double Integrals
Volume by Double Integrals
Değerlendirmeler
Ders İçeriği
Limits and Continuity of Multivariable Functions
Domain of Functions
Limits of Multivariable Functions 1
Limits of Multivariable Functions 2
Limits of Multivariable Functions 3
The Squeeze Theorem
Continuity of Multivariable Functions
Partial Derivatives
Limit Definition of Partial Derivative
Partial Differentiation Rules 1
Partial Differentiation Rules 2
Higher Order Partial Differentiation
The Chain Rule
Chain Rule 1
Chain Rule 2
Chain Rule 3
Equation of a 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
Final Practice Problems Part I
Limit of Multivariable Functions 1
Limit of Multivariable Functions 2
Limit of Multivariable Functions 3
Limit of Multivariable Functions 4
Limit of Multivariable Functions 5
Limit of Multivariable Functions 6
Limit of Multivariable Functions 7
Limit of Multivariable Functions 8
Limit of Multivariable Functions 9
Limit of Multivariable Functions 10
Continuity 1
Continuity 2
Definition of Partial Derivative 1
Definition of Partial Derivative 2
Partial Derivative 1
Partial Derivative 2
Partial Derivative 3
Partial Derivative 4
Partial Derivative 5
Partial Derivative 6
Higher Order Differentiation 1
Higher Order Differentiation 2
Higher Order Differentiation 3
Higher Order Differentiation 4
Higher Order Differentiation 5
Tangent Plane 1
Tangent Plane 2
Tangent Plane 3
Tangent Plane 4
Tangent Plane and Normal Line 1
Tangent Plane and Normal Line 2
Tangent Plane and Normal Line 3
Chain Rule 1
Chain Rule 2
Chain Rule 3
Chain Rule 4
Chain Rule 5
Chain Rule 6
Chain Rule and Tangent Plane
Gradient and Directional Derivatives
Gradient Vector
Directional Derivative
Gradient and Directional Derivative
Extreme Values
Extreme Values
Exam like Question 1
Exam like Question 2
Exam like Question 3
Extreme Values on Closed Regions
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 Using Gradient
Lagrange Multipliers with Two Constraints
Final Practice Problems Part II
Maxima-Minima and Saddle Points 1
Maxima-Minima and Saddle Points 2
Maxima-Minima and Saddle Points 3
Maxima-Minima and Saddle Points 4
Maxima-Minima and Saddle Points 5
Extreme Values on Closed Region 1
Extreme Values on Closed Region 2
Extreme Values on Closed Region 3
Extreme Values on Closed Region 4
Extreme Values on Closed Region 5
Extreme Values on Closed Region 6
Extreme Values on Closed Region 7
Lagrange Multipliers 1
Lagrange Multiplier 2
Lagrange Multiplier 3
Lagrange Multiplier 4
Lagrange Multiplier 5
Lagrange Multipliers 6
Final Practice Problems Part III
Gradient & Tangent Plane
Gradient & Tangent Plane
Gradient & Tangent Plane
Gradient, Tangent Plane and Normal Lines
Gradient, Tangent Plane and Normal Lines
Gradient & Directional Derivative
Directional Derivatives
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
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
Double Integral 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
Final Practice Problems Part IV
Double Integrals: Reversing the Order of Integration
Double Integrals: Reversing the Order of Integration
Double Integrals: Reversing the Order of Integration
Reversing the Order of Integration
Reversing the Order of Integration
Reversing the Order of Integration
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 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
Sınav Provası I: Fall 2023 Final Exam
Critical Points
Gradient and Directional Derivative
Double Integrals: Reversing the Order
Double Integral - Volume
Double Integral - Area
Double Integral - Polar Coordinates
Sınav Provası II: Spring 2024 Final Exam
Maclaurin Series
Limits of Multivariable Functions
Critical Points & Extreme Values
Directional Derivative
Equation of a Tangent Plane
Double Integral: Reversing the Order
Double Integral - Polar Coordinates
(NEW) Fall 2024 Final Exam
Convergence of Series: Alternating Series Test
Limits of Multivariable Functions
Gradient, Directional Derivative, Tangent Plane
Criticial Points, Max-Min-Saddle Points
Polar Coordinates & Reversing the Order
(NEW) Fall 2024 Bütünleme
Limit using Taylor Series
Limit of Multivariable Functions
Continuity of Multivariable Functions
Extreme Values on Closed Region
Implicit Differentiation
Polar Coordinates & Reversing the Order
(NEW) Spring 2025 Final Exam
Lines & Planes Equations
Limits of Multivariable Functions
Linear (Tangent Plane) Approximation
The Chain Rule
Gradient & Directional Derivatives
Criticial Points, Max-Min-Saddle Points
Lagrange Multipliers
Double Integral: Cartesian Coordinates
Double Integral: Reversing the Order
(NEW) Fall 2025 Mock Exam (Multiple Choices)
Domain of Multivariable Functions
Limits of Multivariable Functions
Limits of Multivariable Functions
Limits of Multivariable Functions
Limits of Multivariable Functions
Partial Derivative
Partial Derivative
Tangent Plane & Normal Line
Higher Order Derivative
The Chain Rule
Extreme Values & Saddle Points
Extreme Values & Saddle Points
Extreme Values on Closed Region
Extreme Values on Closed Region
Lagrange Multipliers
The Lagrange Multipliers
Double Integrals in Cartesian Coordinates
Double Integrals in Cartesian Coordinates
Double Integrals in Cartesian Coordinates
Reversing the Order of Integration
Reversing the Order of Integration
Double Integrals in Polar Coordinates
Double Integrals in Polar Coordinates
Double Integrals in Polar Coordinates
Volume by Double Integrals
Volume by Double Integrals
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.