# Mathematics For B.Sc. Students Semester III: MJC-3, MJC-4 & MIC-3 | Real Analysis & Ordinary Differential Equations - NEP 2020 Bihar

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• ISBN : 9789358704464
• Pages : 440
• Binding : Paperback
• Language : English
• Imprint : S Chand Publishing
• Size : 6.50*9.25

Price : 425.00 340.00

This textbook has been designed to meet the needs of B.Sc. Third Semester students of Mathematics as per Common Minimum Syllabus prescribed for Patna University and other Universities and Colleges under the recommended National Education Policy 2020 in Bihar. The book is divided into two parts. First Part: Real Analysis of the book dive deep into the world of Real Analysis with this comprehensive guide, structured precisely to enhance your understanding of the fundamental concepts. This part comprehensively covers important topics such as Algebraic and Order Properties of R, Suprema and Infima, Limit Points and Types of Sets, Limit Inferior and Limit Superior, Cauchy Sequence and Convergence, Infinite Series and Convergence, Alternating Series etc. Second Part: Ordinary Differential Equations embark on a journey through the details of Ordinary Differential Equations with this detailed textbook. This part covers the topics such as Formulation of Differential Equation, Order and Degree, Variable Separable and Homogeneous Differential Equations, First and second Order Linear and First Order Higher Degree Differential Equations, Cauchy-Euler and Legendre Equations, Laplace and Inverse Laplace Transform etc. The book enhances your mathematical skill with this essential resource for mastering real analysis and ordinary differential equations. Whether you're a student or a professional, these books are designed to provide you with a thorough understanding and practical approaches to these crucial areas of mathematics.

• Very lucid and logical presentation of concepts, for easy and quick understanding.
• More than 1500 solved examples for better understanding of almost every topic are included.
• More than 350 practice exercise questions from various University examination papers are also compiled.

MJC-03: Real Analysis

UNIT I

1. Algebraic and Order Properties of R

2. Suprema and Infima

UNIT II

3. Limit Points and Types of Sets

4. Sequence and Convergence

5. Limit Inferior and Limit Superior

6. Cauchy Sequence and Convergence

UNIT IV

7. Infinite Series and Convergence

8. Tests for Convergence

9. Alternating Series

MJC-04: Ordinary Differential Equations

UNIT I

10. Formulation of Differential Equation, Order and Degree

11. Variable Separable and Homogeneous Differential Equations

12. First Order Linear Differential Equations

13. Exact Differential Equations

UNIT II

14. First Order Higher Degree Differential Equations

15. Orthogonal Trajectories

16. Second Order Linear Differential Equations with Constant

UNIT III

17. Second Order Linear Differential Equations with Variable Coefficients

18. Cauchy-Euler and Legendre Equations

19. Method of Undetermined Coefficients

20. Variation of Parameters

21. Total Differential Equation in Three Variables

22. Simultaneous Differential Equation

UNIT IV

23. Laplace Transform

24. Inverse Laplace Transform

25. Solution of Differential Equations Using Laplace Transform

Multiple choice questions

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

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