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Mathematics for B.Sc. Students Semester IV (Differential Equations | Mechanics): NEP 2020 Universities of Uttar Pradesh

Mathematics for B.Sc. Students Semester IV (Differential Equations | Mechanics): NEP 2020 Universities of Uttar Pradesh

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  • ISBN : 9789355016966
  • Pages : 424
  • Binding : Paperback
  • Language : English
  • Imprint : S. Chand Publishing
  • © year : 2023
  • Size : 6.50*9.25

Price : 399.00 319.20

"This textbook has been designed to meet the needs of B.Sc. Fourth Semester students of Mathematics as per Common Minimum Syllabus prescribed for all Uttar Pradesh State Universities and Colleges under the recommended National Education Policy 2020. To possess an in-depth knowledge of the subjects, topics such as Second Order Linear Differential Equations with Variable Coefficients, Method of Undetermined Coefficients, Variation of Parameters, Series Solutions of Differential Equations, Bessel, Legendre and

Hypergeometric Functions and their Properties, Partial Differential Equations of First Order and First Degree and Degree Greater than One, and Solution of Second Order Partial Differential Equations with Variable Coefficients are well explained in Differential Equations. Mechanics part describes the topics such as Mechanics of a Rigid Body, Equilibrium of a System of Forces, Curvilinear Motion and S.H.M., and Motion Under a Central Force in lucid manner.

  • Differential Equations is Divided in Four Units which are further sub-divided in 13 chapters for a 100% coverage of the recommended syllabus
  • Close to 250 examples in the text illustrate all major topics thereby providing ample support to the theory explained
  • Close to 500 questions (short- and long-answer) strengthen the well explained theoretical concepts.

PART-A: DIFFERENTIAL EQUATIONS

Unit I

1. Second Order Linear Differential Equations with Variable Coefficients
2. Method of Undetermined Coefficients
3. Variation of Parameters
4. Series Solutions of Differential Equations 

Unit II

5. Bessel Function and Properties
6. Legendre Function and Properties
7. Hypergeometric Function and Properties 

Unit III

8. Partial Differential Equations of First Order and First Degree
9. Partial Differential Equations of First Order & Degree Greater than One
10. Surfaces Orthogonal to the Given System of Surfaces 

Unit IV

11. Origin and Solution of Partial Differential Equations of Second and Higher Order with Constant Coefficients
12. Classification of Linear Partial Differential Equations of Second Order
13. Solution of Second Order Partial Differential Equations with Variable Coefficients

 PART-B: MECHANICS

1. Mechanics of a Rigid Body
2. Equilibrium of a System of Forces
3. Curvilinear Motion and S.H.M.
4. Motion Under a Central Force

This book is designed for B.Sc. Mathematics Fourth Semester students as per Common Minimum Syllabus prescribed for all Uttar Pradesh State Universities and Colleges under the recommended National Education Policy (NEP) 2020.

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