calculus of functions of several variablesfile.ma118.math.metu.edu.tr/dosyalar/online/math...

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Kadri İlker Berktav [email protected] Course webpage: http://ma120.math.metu.edu.tr/ Department of Mathematics: http://math.metu.edu.tr/ For more Online course materials: http://math.metu.edu.tr/en/service-courses Topics to be covered: Last time: Extreme values and the method of Lagrange multipliers Calculus of Functions of Several Variables Recitation-04: Double Integrals Online Recitation 04 Sayfa 1

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Page 1: Calculus of Functions of Several Variablesfile.ma118.math.metu.edu.tr/Dosyalar/Online/MATH 120-Recitation N… · Calculus of Functions of Several Variables Recitation-04: Double

Kadri İlker [email protected]

Course webpage: http://ma120.math.metu.edu.tr/

Department of Mathematics: http://math.metu.edu.tr/

For more Online course materials:http://math.metu.edu.tr/en/service-courses

Topics to be covered:

Last time: Extreme values and the method of Lagrange multipliers

Calculus of Functions of Several Variables Recitation-04: Double Integrals

Online Recitation 04 Sayfa 1

http://ma120.math.metu.edu.tr/

http://math.metu.edu.tr/

http://math.metu.edu.tr/en/service-courses

Page 2: Calculus of Functions of Several Variablesfile.ma118.math.metu.edu.tr/Dosyalar/Online/MATH 120-Recitation N… · Calculus of Functions of Several Variables Recitation-04: Double

Question 01

Online Recitation 04 Sayfa 2

Page 3: Calculus of Functions of Several Variablesfile.ma118.math.metu.edu.tr/Dosyalar/Online/MATH 120-Recitation N… · Calculus of Functions of Several Variables Recitation-04: Double

Question 02

Online Recitation 04 Sayfa 3

Page 4: Calculus of Functions of Several Variablesfile.ma118.math.metu.edu.tr/Dosyalar/Online/MATH 120-Recitation N… · Calculus of Functions of Several Variables Recitation-04: Double

Online Recitation 04 Sayfa 4

Page 5: Calculus of Functions of Several Variablesfile.ma118.math.metu.edu.tr/Dosyalar/Online/MATH 120-Recitation N… · Calculus of Functions of Several Variables Recitation-04: Double

Question 03

Online Recitation 04 Sayfa 5

Page 6: Calculus of Functions of Several Variablesfile.ma118.math.metu.edu.tr/Dosyalar/Online/MATH 120-Recitation N… · Calculus of Functions of Several Variables Recitation-04: Double

Question 04

Online Recitation 04 Sayfa 6

Page 7: Calculus of Functions of Several Variablesfile.ma118.math.metu.edu.tr/Dosyalar/Online/MATH 120-Recitation N… · Calculus of Functions of Several Variables Recitation-04: Double

Question 05

Online Recitation 04 Sayfa 7

Page 8: Calculus of Functions of Several Variablesfile.ma118.math.metu.edu.tr/Dosyalar/Online/MATH 120-Recitation N… · Calculus of Functions of Several Variables Recitation-04: Double

Question 06

Online Recitation 04 Sayfa 8

Page 9: Calculus of Functions of Several Variablesfile.ma118.math.metu.edu.tr/Dosyalar/Online/MATH 120-Recitation N… · Calculus of Functions of Several Variables Recitation-04: Double

Exercises

Online Recitation 04 Sayfa 9

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