MATH 253 • Midterm • Vector Calculus and Linear Algebra
Atılım biz geldik! Üniversitedeki zor Matematik derslerinden biri olarak kabul edilen Math 152 dersi artık düşündüğün kadar zor değil! Dersimizde önce özet konu anlatımları ve kitaptaki ödev sorularının çözümleriyle öğrenecek, sonrasında son yılların çıkmış sınav sorularıyla antreman yapabileceksin.
Bu dersimizde sunduğumuz içerikler: 1. Triple Integrals 2. Change of Variables in Triple Integrals, (Cylindrical and spherical coordinates) 3. Vector and Scalar Fields 4. Conservative Fields 5. Line Integrals 6. Line Integrals of Vector Fields 7. Green’s Theorem in the Plane
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.
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Konular
Triple Integrals in Cylindrical Coordinates
9 konu anlatımı
Cylindrical Coordinates 1
Cylindrical Coordinates 2
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
11 konu anlatımı
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 Integrals: Cylindrical, Spherical, or Cartesian
4 konu anlatımı
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
Exam Practice Part I
8 soru
Cylindrical Coordinates
Cylindrical Coordinates
Spherical Coordinates
Spherical Coordinates
Spherical Coordinates
Cylindrical and Spherical Coordinates
Cylindrical and Spherical Coordinates
Cartesian, Cylindrical and Spherical
Review of Vector Functions
7 konu anlatımı
Vector Functions and Curves
Domain of a Vector Function
Limit of a Vector Function
Derivative of a Vector Function
Integral of a Vector Function
Arc Length
Arc Length Parametrization
Line Integrals
5 konu anlatımı
Line Integral 1
Line Integral 2
Line Integral 3
Line Integral 4
Line Integral 5
Vector Fields
4 konu anlatımı
Vector Fields and Field Lines
Conservative Fields
Potential Function
Line Integrals of Vector Fields
Green's Theorem
1 konu anlatımı · 14 soru
Green's Theorem
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 Practice Part II
12 soru
Conservative Field & Potential
Conservative Field & Potential
Conservative Field & Potential
Conservative Field & Potential
Line Integrals
Line Integrals
Line Integrals
Line Integrals of Vector Fields
Line Integrals of Vector Fields
Green's Theorem
Green's Theorem
Green's Theorem
Surface Integrals
3 konu anlatımı
Surface Integrals I
Surface Integrals II
Surface Integrals III
Divergence Theorem
1 konu anlatımı · 6 soru
Divergence Theorem
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Exam like Question 6
Stoke's Theorem
1 konu anlatımı · 10 soru
Stoke's Theorem
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
Divergence and Curl
Systems of Linear Equations
4 konu anlatımı · 9 soru
Augmented Matrix - Row Reduction 1
Augmented Matrix - Row Reduction 2
Existence and Uniqueness of Solution
Free Variables (Free Parameter)
Practice Problem 1
Practice Problem 2
Practice Problem 3
Practice Problem 4
Practice Problem 5
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
The Inverse of a Matrix
2 konu anlatımı · 4 soru
Inverse of a Matrix 1
Inverse of a Matrix 2
Practice Problem 1
Practice Problem 2
Practice Problem 3
Practice Problem 4
Determinants
4 konu anlatımı · 11 soru
Determinant & Cofactor Expansion
Determinants of Bigger Matrices
Properties of Determinant I
Properties of Determinant II
Exam like Question 1
Exam-like Question 2
Exam like Question 3
Exam-like Question 4
Exam-like Question 5
Exam-like Question 5
Exam-like Question 5
Exam-like Question 6
Exam-like Question 7
Exam-like Question 8
Exam-like Question 9
Vector Spaces and Subspaces
3 konu anlatımı · 6 soru
Vector Spaces and Subspaces
Polynomial Subspaces
Matrix Spaces & Matrix Subspaces
Exam-like Question 1
Exam-like Question 2
Exam-like Question 3
Exam-like Question 4
Exam-like Question 5
Exam-like Question 6
Linear Independence
3 konu anlatımı · 4 soru
Linear Independent Sets
Linear Independence of Matrices
Special Theorem for Matrix Equation
Exam-like Questions 1
Exam-like Questions 2
Exam-like Question 3
Exam-like Question 4
Basis for General Subspaces
4 konu anlatımı
Basis for Vector Subspaces
Basis for Matrix Subspaces
Basis for Polynomial Subspaces
Basis for Polynomial Subspaces 2
Exam Practice Part III
2 konu anlatımı · 21 soru
Gaussian Elimination Method
Existence and Uniqueness 1
Existence and Uniqueness 2
Inverse of a Matrix 1
Inverse of a Matrix 2
Solving systems with Inverse 1
Solving Systems with Inverse 2
Solving systems with Inverse 3
Determinant and Invertibility
Existence, Determinant and Invertibility 1
Existence, Determinant and Invertibility 2
Properties of Determinants 1
Properties of Determinants 2
Properties of Determinants 3
Properties of Determinants 4
Subspace or Not 1
Subspace or Not 2
Subspace or Not 3
Subspace or Not 4
Subspace or Not 5
Polynomial Subspace or Not 1
Polynomial Subspace or Not 2
Polynomial Subspace or Not 3
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