# Mathematics For B.Sc. Students Semester II: MJ-2 | Multivariable Calculus - NEP 2020 Jharkhand

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• ISBN : 9789355018359
• Pages : 400
• Binding : Paperback
• Language : English
• Imprint : S Chand Publishing
• Size : 6.50*9.25

Price : 450.00 360.00

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This textbook has been designed to meet the needs of B.Sc. Second Semester students of Mathematics as per Common Minimum Syllabus prescribed for Ranchi University and other Universities and Colleges under the recommended National Education Policy 2020 in Jharkhand. The book comprehensively covers important topics such as Functions of Several Variables, Partial Differentiation and Chain Rule, Higher Order Partial Derivatives, Total Differential and Differentiability, Jacobians, Change of Variables, Euler's Theorem for Homogeneous Functions Lagrange Multipliers, Double Integrals in Polar Coordinates, Triple Integration in Cylindrical and Spherical Coordinates, Change of Variables in Double and Triple Integrals, Vector, Scalar Point Functions and Gradient, Divergence, Vector Identities and Curl, Green's, Stoke's and Gauss Divergence Theorems, etc. are explained thoroughly and followed by numerous examples and practice exercises. Questions from Universities Latest Examination papers are included at the end for smart revision and practice.

• Very lucid and logical presentation of concepts, for easy and quick understanding.
• Close to 400 solved examples for better understanding of almost every topic is included.
• Close to 550 practice exercise questions from various University examination papers are also compiled.

UNIT I: PARTIAL DERIVATIVES

1. Functions of Several Variables

2. Partial Differentiation and Chain Rule

3. Higher Order Partial Derivatives

4. Total Differential and Differentiability

5. Jacobians

6. Change of Variables

7. Euler's Theorem for Homogeneous Functions

8. Envelope and Evolutes

9. Maxima and Minima of a Function of Two Variables

10. Lagrange Multipliers

UNIT II: DOUBLE AND TRIPLE INTEGRATION

11. Double Integration Over Rectangular and Non-Rectangular Regions

12. Double Integrals in Polar Coordinates

13. Applications of Integrals (Surface Area)

14. Triple Integrals

15. Triple Integration in Cylindrical and Spherical Coordinates

16. Volume by Triple Integrals

17. Change of Variables in Double and Triple Integrals

UNIT III: VECTOR FIELD

18. Vector, Scalar Point Functions and Gradient

19. Differentiation of Vector Function

20. Divergence, Vector Identities and Curl

UNIT IV: GREEN'S, STOKES' AND GAUSS DIVERGENCE THEOREM

21. Line Integrals and Applications

22. Green's, Stoke's and Gauss Divergence Theorems

Chapter Wise Practice Questions from Latest Examination

This textbook has been designed to meet the needs of B.Sc. Second Semester students of Mathematics as per Common Minimum Syllabus prescribed for Ranchi University and other Universities and Colleges under the recommended National Education Policy 2020 in Jharkhand.

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