5th semester Degree Multiple integrals and applications of Vector calculus-6B

This Website provides Degree 5th Semester Mathematics B.sc(comp),B.sc(gen), B.Sc(stat), related all Syllabus, Materials, ANU Previous years Question Papers, Important Questions List. All materials, Question papers are designed according to Acharya Nagarjuna University pattern.


Multiple integrals and applications of Vector calculus

Unit – 1: Multiple integrals-I

1. Introduction, Double integrals, Evaluation of double integrals, Properties of double integrals.

2. Region of integration, double integration in Polar Co-ordinates,

3. Change of variables in double integrals, change of order of integration.

Unit – 2: Multiple integrals-II

1. Triple integral, region of integration, change of variables.

2. Plane areas by double integrals, surface area by double integral.

3. Volume as a double integral, volume as a triple integral.

Unit – 3: Vector differentiation

1. Vector differentiation, ordinary derivatives of vectors.

2. Differentiability, Gradient, Divergence, Curl operators,

3. Formulae involving the separators.

Unit – 4: Vector integration

1. Line Integrals with examples.

2. Surface Integral with examples.

3. Volume integral with examples.

Unit – 5: Vector integration applications

1. Gauss theorem and applications of Gauss theorem.

2. Green’s theorem in plane and applications of Green’s theorem.

3. Stokes’s theorem and applications of Stokes theorem.

Multiple integrals and applications of Vector calculus-6B material Download Materials

Name of the Unit Downloads
Unit – 1: Multiple integrals-I Click Here
Unit – 2: Multiple integrals-II Click Here
Unit – 3: Vector differentiation Click Here
Unit – 4: Vector integration Click Here
Unit – 5: Vector integration applications Click Here