MATH 170 • Calculus for Scientists and Engineers II • Midterm I

Bilgi biz geldik! 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) Analytic Geometry in 3D : Vectors 2)Analytic Geometry in 3D : Planes and Lines 3)Analytical Geometry Before Exam Problems 4)Vector Functions 5)Multivariable Functions (Limits and Continuity) 6)Partial Differentiation (Tangent Plane & Chain Rule) 7)Linear Approximation and Implicit Differentiation 8)Gradient and Directional Derivative 9)Extreme Values and Lagrange Multiplier 10) Double Integrals in Cartesian Coordinates 11)Coordinate Systems 1: Polar Coordinates 12)Analytical Geometry Before Exam Problems 13)Double Integral: Exam like Questions 14)Triple Integrals

Ders Tanıtımı

Distance Between Points 1

Ücretsiz

Cosine Theorem in 3D & Euclidean N-Space

Ücretsiz

Vectors: Arithmetic, Parallelism and Unit Vector

Angles between Vectors : Dot Product

Vector Projection

Cross Product of Vectors

Applications of Cross Product

Plane Equations

Ücretsiz

Line Equations 1

Line Equations 2

Distance of a Point to Planes

Intersection of Planes

Intersection of Planes and Lines

Length of the Curves 1

Length of the Curves 2

Length of the Curve 3

Length of the Curve 4

Length of the Curves 5

Length of the Curves 6

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

Domain of Functions

Ücretsiz

Limits of Multivariable Functions 1

Ücretsiz

Limits of Multivariable Functions 2

Ücretsiz

Limits of Multivariable Functions 3

Ücretsiz

Continuity of Multivariable Functions

Ücretsiz

Exam like Question 1

Ücretsiz

Exam like Question 2

Ücretsiz

Exam like Question 3

Limits with Polar Coordinates 1

Partial Differentiation Rules 1

Partial Differentiation Rules 2

Partial Differentiation Rules 3

Higher Order Partial Differentiation

Equation of a Tangent Plane 1

Equation of a Tangent Plane 2

Normal Vector to a Multivariable Function

Chain Rule 1

Chain Rule 2

Chain Rule 3

Gradient Vector

Directional Derivative

Gradient and Directional Derivative

Extreme Values

Exam like Question 1

Exam like Question 2

Exam like Question 3

Exam like Question 4

Extreme Values on Restricted Regions 1

Extreme Values on Restricted Regions 2

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

Intuition: Double Integrals

Ücretsiz

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

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

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

Cylindrical Coordinates 1

Cylindrical Coordinates 2

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

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

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

Eğitmen

Dorukhan ÖzcanDorukhan 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 senesinden beri CEO danışmanlığı yapıyorum. "Ben Matematik yapamıyorum" diye yakınan öğrencilere matematik öğretmek amacıyla tasarladığım "Reflekslerle Matematik" sisteminin kurucusuyum. En çok gurur duyduğum projem olan Reflekslerle Matematik sistemi yayınlandığı günden itibaren 500.000 den fazla öğrencinin matematik öğrenmesine yardımcı oldu ve her geçen gün ülke çapında yayılmaya devam ediyor. Halen Koç Üniversitesi Endüstri Mühendisliği ve Ekonomi çift anadal programını 3.96/4.00 not ortalamasıyla sürdürüyorum. Kadıköy Modalıyım.

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