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Ücretsiz Dersi AlMATH 1132 • Final • Calculus II
Çankaya biz geldik! Üniversitedeki zor Matematik derslerinden biri olarak kabul edilen Math 158 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. Multivariable Functions 2. Limits and Continuity in Higher Dimensions 3. Partial Derivatives 4. Higher Order Derivatives 5. The Chain Rule 6. Gradients and Directional Derivatives 7. Implicit Functions 8. Extreme Values 9. Extreme Values of Functions Defined on Restricted Domains 10. Lagrange Multipliers 11. Double Integrals 12. Iteration of Double Integrals in Cartesian Coordinates 13. Double Integrals in Polar Coordinates 14. Triple Integrals in Rectangular Coordinates
Konular
Power Series
What is a Power Series?
Radius and Interval of Convergence
Convergence on Endpoints
Term by Term Differentiation & Integration
Finding a Power Series Expansion
Power Series with Different Centers
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Exam like Question 5
Taylor and Maclaurin Series
Taylor Series : Intuition
Taylor and Maclaurin Series
Taylor and Maclaurin Series 2
Finding a Taylor Series Expansion 1
Finding a Taylor Series Expansion 2
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
Taylor Polynomials
Taylor Polynomial 1
Taylor Polynomial 2
Exam like Question 1
Exam like Question 2
Exam like Question 3
Exam like Question 4
Multivariable Functions
Domain of Multivariable Functions
Level Curves
Level Curves and Level Surfaces
Graphs of Surfaces
Limits and Continuity of Multivariable Functions
Limits of Multivariable Functions 1
Limits of Multivariable Functions 2
Limits of Multivariable Functions 3
Multivariable Squeeze Theorem
Continuity of Multivariable Functions
Limits with Polar Coordinates
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
Extreme Values
Extreme Values
Extreme Values on Restricted Regions 1
Extreme Values on Restricted Regions 2
Lagrange Multipliers
Optimization With Lagrange Multipliers
Lagrange Multipliers Example-1
Lagrange Multipliers Example-2
Lagrange Multipliers Example-3
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
Exam Practice Part I
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Functions
Limit of Multivariable Function
Limit of Multivariable Function
Limit of Multivariable Function
Limit of Multivariable Function
Limit of Multivariable Function
Continuity
Continuity
Exam Practice Part II
Definition of Partial Derivative
Definition of Partial Derivative
Partial Derivative
Partial Derivative
Partial Derivative
Partial Derivative
Partial Derivative
Higher Order Differentiation
Higher Order Differentiation
Higher Order Differentiation
Chain Rule
Chain Rule
Chain Rule
Chain Rule
Exam Practice Part III
Extreme Values
Extreme Values
Extreme Values
Extreme Values
Extreme Values
Extreme Values
Extreme Values on Closed Region
Extreme Values on Closed Region
Extreme Values on Closed Region
Extreme Values on Closed Region
Extreme Values on Closed Region
Extreme Values on Closed Region
Lagrange Multipliers
Lagrange Multipliers
Lagrange Multipliers
Lagrange Multipliers
Lagrange Multipliers
Lagrange Multipliers
Lagrange Multipliers
Exam Practice Part IV
Reversing the Order of Integration
Reversing the Order of Integration
Reversing the Order of Integration
Reversing the Order of Integration
Double Integral in Polar Coordinate
Double Integral in Polar Coordinate
Double Integral in Polar Coordinate
Double Integral in Polar Coordinate
Double Integral in Polar Coordinate
Double Integral in Polar Coordinate
Double Integral in Polar Coordinate
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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