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

• 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