MATH 203 • Midterm I • Multivariable Calculus
“Konuları kavramada çok yardımcı oldu, Math203 zor bir ders bildiğiniz üzere ve okulda dersleri kaçırdıysanız daha da zor olabiliyor. Bu zorluğa rağmen konuları Unicourse sayesinde kavradığımı düşünüyorum”
Berk Bayram Sarıaslan
Makine 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.
Konular
Analytic Geometry in 3D: Vectors
7 konu anlatımı
Distance Between Points 1
Cosine Theorem in 3D & Euclidean N-Space
Vectors: Arithmetic, Parallelism and Unit Vector
Angles between Vectors: Dot Product
Vector Projection
Cross Product of Vectors
Applications of Cross Product
Planes and Lines Equations
6 konu anlatımı
Plane Equations
Line Equations 1
Line Equations 2
Intersection of Planes
Intersection of Planes and Lines
Distance of a Point to Lines & Planes
Vector Functions
11 konu anlatımı · 10 soru
Vector Functions and Curves
Domain of a Vector Function
Limit of a Vector Function
Derivative of a Vector Function
Integral of a Vector Function
Position, Velocity, Acceleration
Position, Velocity, Acceleration 2
Arc Length
Arc Length Parametrization
Tangent, Normal, Binormal Vectors and Curvature, Torsion
Calculation of Tangent, Normal, Binormal Vectors and Curvature, Torsion
Unit Tangent, Unit Normal, Binormal Vectors 1
Unit Tangent, Unit Normal, Binormal Vectors 2
Unit Tangent, Unit Normal, Binormal Vectors 3
Unit Tangent, Unit Normal, Binormal Vectors 4
Curvature 1
Curvature 2
Curvature 3
Curvature 4
Torsion 1
Torsion 2
Limits of Multivariable Functions
6 konu anlatımı · 2 soru
Domain of Functions
Level Curves
Limits of Multivariable Functions 1
Limits of Multivariable Functions 2
Limits of Multivariable Functions 3
Continuity of Multivariable Functions
Exam like Question 1
Exam like Question 2
Parametrization (Parametric Curves)
2 konu anlatımı · 5 soru
Parametric Equations 1
Parametric Equations 2
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Partial Differentiation & Chain Rule
7 konu anlatımı
Limit Definition of Partial Derivative
Partial Differentiation Rules 1
Partial Differentiation Rules 2
Higher Order Partial Differentiation
Chain Rule 1
Chain Rule 2
Chain Rule 3
Tangent Plane
4 konu anlatımı
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
1 konu anlatımı
Tangent Plane Approximation
Gradient and Directional Derivatives
3 konu anlatımı
Gradient Vector
Directional Derivative
Gradient and Directional Derivative
Implicit Differentiation
4 konu anlatımı
Implicit Differentiation I
Implicit Differentiation II
Implicit Differentiation III
Implicit Higher Differentiation
Sample Midterm 1 Questions 1
36 soru
Cross Product Applications
Cross Product Applications
Cross Product & Dot Product
Cross Product & Dot Product
Vectors & Plane Equations
Plane Equations
Plane Equations
Intersection of Planes
Intersection of Planes
Intersection of Planes
Planes and Lines Equations
Planes and Lines Equations
Intersection of Planes and Lines
Intersection of Planes and Lines
Planes and Lines Equations
Planes and Lines Equations
Vector Functions & Length of a Curve
Vector Functions & Length of a Curve
Vector Functions & Tangent Line
Unit Tangent, Curvature, Binormal
Unit Tangent, Curvature, Binormal
Curvature & Unit Tangent
Vector Functions: Curvature
Vector Functions: Torsion
Limits of Multivariable Functions
Limits of Multivariable Functions
Limits of Multivariable Functions
The Chain Rule
The Chain Rule
The Chain Rule
Gradient and Tangent Plane
Gradient and Tangent Plane
Gradient, Tangent Plane and Normal Lines
Tangent Plane & Approximation
Tangent Plane & Approximation
Gradient and Directional Derivative
Sample Midterm 1 Questions 2
9 soru
Vectors: Cross Product & Dot Product
Vectors & Plane Equations
Planes and Lines Equations
Planes and Lines Equations
Limits of Multivariable Functions
Vector Functions: Length of a Curve
Vector Functions: Equation of a Tangent Line
The Chain Rule
Gradient and Tangent Plane
Sample Midterm 1 Questions 3
9 soru
Cross Product: Area of Triangles
Cross Product: Volume of Paralellopiped
Plane Equations
Intersection of Planes
Plane and Lines Equations
Planes and Lines Equations
Curvature & Unit Tangent
The Chain Rule
Directional Derivative and Tangent Plane
Sample Midterm 1 Questions 4
5 soru
Cross Product & Dot Product
Planes and Lines Equations
Vector Functions: Curvature
Vector Functions: Torsion
Gradient, Tangent Plane and Normal Lines
Sample Midterm 1 Questions 5
7 soru
Spring 2022 Final Exam: Planes and Lines
Spring 2022 Midterm: Planes and Lines
Spring 2022 Midterm: Unit Tangent, Curvature, Binormal
Spring 2022 Final: Limits of Multivariable Functions
Spring 2022: Tangent Plane & Approximation
Spring 2022: Extreme Values
Spring 2022: Lagrange Multipliers
Sample Midterm 1 Questions 6
8 soru
Plane Equation
Vector Functions: Length of a Curve
Limits of Multivariable Functions
Gradient and Tangent Plane
Gradient and Directional Derivative
The Chain Rule
Extreme Values on Restricted Region
Lagrange Multipliers
Sample Midterm 1 Questions 7
7 soru
Cross Product & Dot Product
Plane Equations & Intersection
Limits of Multivariable Functions
Continuity of Multivariable Functions
Vector Functions
Gradient & Tangent Plane
Higher Order & Directional Derivative
Sample Midterm 1 Questions 8
5 soru
Applications of Cross Product
Intersection of Lines & Distance
Tangent Plane & Approximation
Gradient & Tangent Plane
Gradient & Partial Derivative
Sample Midterm 1 Questions 9
12 soru
Applications of Cross Product
Distance between Planes and Lines
Planes and Lines
Vector Functions: Unit Tangent, Curvature
Vector Functions: Tangent Line
Extreme Values
Tangent Plane & Gradient
Directional Derivative & Gradient
Directional Derivative & Gradient
Directional Derivative & Gradient
Partial Derivative
Lagrange Multipliers
Sample Midterm 1 Questions 10
5 soru
Lines & Planes & Vectors in Space
Vector Functions & Unit Tangent, Binormal
Linear Approximation & Gradient
Equation of a Tangent Plane
Extreme Values on Closed Region
Unicourse Special: Extra Practice
55 soru
Vector Functions: Unit Tangent, Curvature, Length
Arc Length
Arc Length
Arc Length
Arc Length
Vector Functions: Curvature
Vector Functions: Unit Tangent & Curvature
Space Curves & Vector Functions 1
Vector Functions: Unit Tangent & Curvature
Domain of Multivariable Functions
Domain of Multivariable Functions
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
Continuity
Vectors & Dot and Cross Product
Equation of Planes
Equation of Planes
Plane and Lines
Plane and Lines
Plane and Lines
Distance between Planes and a Point
Distance between Planes and Lines
Distance between Lines and a Point
Tangent Plane 1
Tangent Plane 2
Tangent Plane and Normal Line 1
Tangent Plane and Normal Line 2
Approximation 1
Approximation 2
Gradient & Tangent Plane
Directional Derivatives
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
Gradient & Directional Derivative
The Chain Rule 1
The Chain Rule 2
The Chain Rule 3
The Chain Rule 4
The Chain Rule 5
The Chain Rule 6
The Chain Rule 7
The Chain Rule 8
The Chain Rule 9
Chain rule and Tangent Plane
Chain Rule & Approximation
Değerlendirmeler
33 öğrenci değerlendirmesi
Değerlendirme yapmak için bu derse sahip olman gerekiyor.
Rüzgar Altuncı
Makine Mühendisliği
İkinci kez alıyorum midtermüm yüksek geldi herkese öneririm
Tunç Bergsan
Makine Mühendisliği
Özellikle örnek sorular çok yardımcı oldu. Sınavda ya aynısı ya da inanılmaz benzeri soru tipleri ile karşılaştım. Tavsiye ederim.
Berk Bayram Sarıaslan
Makine Mühendisliği
Konuları kavramada çok yardımcı oldu, Math203 zor bir ders bildiğiniz üzere ve okulda dersleri kaçırdıysanız daha da zor olabiliyor. Bu zorluğa rağmen konuları Unicourse sayesinde kavradığımı düşünüyorum
Mehmet Eski
Makine Mühendisliği
Naz Yılmaz
Endüstri Mühendisliği
Batuğ Coşkuner
Matematik
Azra Hacıoğlu
Bilgisayar Mühendisliği
Alp Orhun
Kimya-Biyoloji Mühendisliği
Muhammed Kılıç
Bilgisayar Mühendisliği
Doruk Düzgün
Endüstri Mühendisliği
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