Mathematics For B.Sc. Students Semester II: MJC-2 | Calculus & Geometry - NEP Bihar

• Very lucid and logical presentation of concepts, for easy and quick understanding.
• More than 350 solved examples for better understanding of almost every topic are included. 
• More than 1200 practice exercise questions from various University examination papers are also compiled

UNIT I

1. Successive Differentiation and Leibnitz Theorem

2. Maclaurin and Taylor Series

3. Tangent and Normal

4. Partial Differentiation

5. Euler's Theorem

6. Total Differential

7. L'Hôpital's Rule

8. Curvature

9. Asymptotes

10. Curve Tracing

UNIT II

11. Integration of Rational and Irrational Functions

12. Evaluation of Definite Integrals

13. Reduction Formulae

14. Area

15. Length and Area Bounded by Plane Curves

16. Volume and Surface Area of Solid of Revolution

17. Beta and Gamma Functions

18. Multiple Integrals

UNIT III

19. General Equation of Conics and Reduction to Normal Form

20. Tangent and Normal of Conics

UNIT IV

21. Sphere

22. Cone

23. Cylinder

24. Conicoid

25. Paraboloid

26. Plane Section of Conicoid

27. Generating Lines

UNIT V

28. Scalar and Vector Triple Products

29. Differentiation of Vector Functions

30. Integration of Vector Functions

31. Gradient of Scalar, Divergence and Curl