Тілепиев М.Ш., Құлжағарова Б.Т., Математикалык талдаудан есептер жинағы (4-бөлім), 2011

Introduction

1.1. Double integrals in a rectangular coordinate system

1.2. Change of variables in a double integral

1.3. Calculating areas of plane figures

1.4. Calculating volumes of solids

1.5. Calculating surface area

1.6. Applications of the double integral in mechanics

2.1. Triple integrals in a rectangular coordinate system

2.2. Change of variables in a triple integral

2.3. Applications of the triple integral in mechanics

3. Improper integrals depending on a parameter

4.1. Line integrals of the first kind

4.2. Line integrals of the second kind

4.3. Path independence of a line integral of the second kind. Finding a function from its total differential

4.4. Green's formula

4.5. Calculating the area of a plane figure

5.1. Surface integrals of the first kind

5.2. Surface integrals of the second kind

6. Elements of field theory

7. Fourier series

Test questions

References