Green’s Theorem | ENGINEERING MATHEMATICS II

Engineering Mathematics II: Green’s Theorem

Topic Information

Topic: Introduction to Green’s Theorem and its Applications

Course Code: SH 151 – ENGINEERING MATHEMATICS II

Description: Comprehensive study material covering statement, proof, applications and solved problems of Green’s Theorem

Prepared by: HPG sir

1. Introduction to Green’s Theorem

1.1 Statement of the theorem

1.2 Physical interpretation

1.3 Relation between line and double integrals

2. Mathematical Formulation

2.1 Circulation and flux forms

2.2 Simply connected regions

2.3 Positive orientation of curves

3. Proof of the Theorem

3.1 For rectangular regions

3.2 Extension to more general regions

3.3 Special cases and corollaries

4. Applications

4.1 In fluid flow calculations

4.2 In work and energy calculations

4.3 In area computations

5. Solved Problems

5.1 Simple closed curves

5.2 Verification of the theorem

5.3 Practical applications

6. Practice Exercises

6.1 Basic to advanced problems

6.2 Engineering applications

6.3 Previous year questions

Digitized study material prepared by HPG sir