MATH 203 • Midterm II • Multivariable Calculus
“Math 203 gibi zor bir dersin sınavını unicourse'tan 3-4 gün çalışarak çok güzel bir notla geçtim”
Begüm Yılmaz
Endüstri Mühendisliği & 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
Partial Differentiation
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
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 Differentiation
Implicit Differentiation I
Implicit Differentiation II
Implicit Differentiation III
Implicit Higher Differentiation
Extreme Values
Extreme Values
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Extreme Values on Closed Regions
Extreme Values on Closed Regions 1
Extreme Values on Closed Regions 2
Exam like Question 1
Exam like Question 2
Exam like Question 3
Lagrange Multipliers
Lagrange Multipliers I
Lagrange Multipliers II
Lagrange Multipliers with Two Constraints
Lagrange Multipliers Using Gradient
Optimization with Lagrange Multipliers 1
Optimization with Lagrange Multipliers 2
Optimization with Lagrange Multipliers 3
(NEW) Linear Regression
Linear Regression and Partial Derivative
(NEW) Newton Iterations Method
Newton Iterations: Single Variable Functions
Newtons Iterations: Multivariable Functions with Jacobian Matrix
Exam like Question 1
Exam like Question 2
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 Order
Sample Exam Problems
Tangent Plane Equation
Tangent Plane & Normal Line
Linear Approximation
Directional Derivative
Directional Derivative
Directional Derivative
Directional Derivative
Directional Derivative
Directional Derivative
Maxima-Minima and Saddle Points 1
Maxima-Minima and Saddle Points 2
Maxima-Minima and Saddle Points 3
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 multipliers 5
Lagrange Multiplier 6
Lagrange Multiplier 7
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
Reversing the Order of Integration
Double Integral on Cartesian Coordinates
Double Integral on Cartesian Coordinates
Volume by Double Integrals
Past Exam Problems
Fall 2024 Exam: Extreme Values
Spring 2022 Exam: Extreme Values
Spring 2025 Exam: Extreme Values
Spring 2023 Exam: Tangent Plane Equations
Fall 2023 Exam: Tangent Plane Equations
Spring 2024 Exam: Tangent Plane Equations
Spring 2019 Exam: Tangent Plane Equations
Spring 2025: Equation of a Tangent Plane
Fall 2023 Exam: Tangent Plane and Normal Lines
Spring 2021 Exam: Tangent Plane and Normal Lines
Spring 2024 Exam: Tangent Plane & Approximation
Spring 2020 Exam: Tangent Plane & Approximation
Spring 2025 Exam: Tangent Plane & Approximation
Spring 2023 Exam: Directional Derivative
Fall 2023 Exam Exam: Directional Derivative
Fall 2023 Exam: Directional Derivative
Fall 2024 Exam: Directional Derivative
Fall 2024 Exam: Directional Derivative
Spring 2020 Exam: The Chain Rule
Spring 2023 Exam: The Chain Rule
Spring 2019 Exam: The Chain Rule
Spring 2023 Exam: Extreme Values on Restricted Region
Spring 2022 Exam: Lagrange Multipliers
Spring 2023 Exam: Lagrange Multipliers
Sınav Provası I: Fall 2023 Exam
Extreme Values
Extreme Values on Restricted Region
Lagrange Multipliers
Double Integrals in Cartesian Coordinates
Sınav Provası II: Spring 2024 Exam
Extremum Values
Lagrange Multipliers
Double Integral
Line Integral
Conservative Field
Surface Area and Volume
Değerlendirmeler
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Çok verimli kümülatif bir anlatım
Zor bir ders için çok önemli bir kaynak sağlıyor.
Ders İçeriği
Partial Differentiation
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
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 Differentiation
Implicit Differentiation I
Implicit Differentiation II
Implicit Differentiation III
Implicit Higher Differentiation
Extreme Values
Extreme Values
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Extreme Values on Closed Regions
Extreme Values on Closed Regions 1
Extreme Values on Closed Regions 2
Exam like Question 1
Exam like Question 2
Exam like Question 3
Lagrange Multipliers
Lagrange Multipliers I
Lagrange Multipliers II
Lagrange Multipliers with Two Constraints
Lagrange Multipliers Using Gradient
Optimization with Lagrange Multipliers 1
Optimization with Lagrange Multipliers 2
Optimization with Lagrange Multipliers 3
(NEW) Linear Regression
Linear Regression and Partial Derivative
(NEW) Newton Iterations Method
Newton Iterations: Single Variable Functions
Newtons Iterations: Multivariable Functions with Jacobian Matrix
Exam like Question 1
Exam like Question 2
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 Order
Sample Exam Problems
Tangent Plane Equation
Tangent Plane & Normal Line
Linear Approximation
Directional Derivative
Directional Derivative
Directional Derivative
Directional Derivative
Directional Derivative
Directional Derivative
Maxima-Minima and Saddle Points 1
Maxima-Minima and Saddle Points 2
Maxima-Minima and Saddle Points 3
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 multipliers 5
Lagrange Multiplier 6
Lagrange Multiplier 7
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
Reversing the Order of Integration
Double Integral on Cartesian Coordinates
Double Integral on Cartesian Coordinates
Volume by Double Integrals
Past Exam Problems
Fall 2024 Exam: Extreme Values
Spring 2022 Exam: Extreme Values
Spring 2025 Exam: Extreme Values
Spring 2023 Exam: Tangent Plane Equations
Fall 2023 Exam: Tangent Plane Equations
Spring 2024 Exam: Tangent Plane Equations
Spring 2019 Exam: Tangent Plane Equations
Spring 2025: Equation of a Tangent Plane
Fall 2023 Exam: Tangent Plane and Normal Lines
Spring 2021 Exam: Tangent Plane and Normal Lines
Spring 2024 Exam: Tangent Plane & Approximation
Spring 2020 Exam: Tangent Plane & Approximation
Spring 2025 Exam: Tangent Plane & Approximation
Spring 2023 Exam: Directional Derivative
Fall 2023 Exam Exam: Directional Derivative
Fall 2023 Exam: Directional Derivative
Fall 2024 Exam: Directional Derivative
Fall 2024 Exam: Directional Derivative
Spring 2020 Exam: The Chain Rule
Spring 2023 Exam: The Chain Rule
Spring 2019 Exam: The Chain Rule
Spring 2023 Exam: Extreme Values on Restricted Region
Spring 2022 Exam: Lagrange Multipliers
Spring 2023 Exam: Lagrange Multipliers
Sınav Provası I: Fall 2023 Exam
Extreme Values
Extreme Values on Restricted Region
Lagrange Multipliers
Double Integrals in Cartesian Coordinates
Sınav Provası II: Spring 2024 Exam
Extremum Values
Lagrange Multipliers
Double Integral
Line Integral
Conservative Field
Surface Area and Volume
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.