Mathematics For B.Sc. Students: Semester I, MJ-1 (Calculus & Geometry): For Ranchi University and other Universities in Jharkhand, FYUGP, Common Course under NEP 2020

• Very lucid and logical presentation of concepts, for easy and quick understanding.
• Close to 450 solved examples for better understanding of almost every Article or topic is included. 
• Close to 800 practice exercise questions from various University examination papers are also compiled.
• A comprehensive Index is also provided to search and locate a required topic.

Unit I: Differentiability

1. Differentiability of a Function 
2. Chain Rule of Differentiation 
3. Mean Value Theorems 
4. Successive Differentiation: Leibniz's Theorem

Unit II: Expansion of Functions

5. Maclaurin and Taylor's Theorems 
6. Maxima and Minima

Unit III: Curvature, Asymptotes and Curve Tracing

7. Curvature 
8. Asymptotes 
9. Concavity, Convexity and Point of Inflexion 
10. Tracing of Curves

Unit IV: Integral Calculus

11. Integration of Rational and Irrational Functions 
12. Evaluation of Definite and Special Integrals 
13. Differentiation and Integration Under Sign of Integration 
14. Reduction Formulae

Unit V: Geometry of Integral Calculus

15. Length and Area Bounded by Plane Curves 
16. Volume and Surface Area of Solid of Revolution

Unit VI: Planes, Straight Lines and Spheres

17. Plane 
18. Straight Line 
19. Sphere 

Questions from Latest Examinations 
Index

Questions from Latest Examination Papers
Index