# 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

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• ISBN : 9789355018366
• Pages : 432
• Binding : Paperback
• Language : English
• Imprint : S Chand Publishing
• Size : 6.50*9.25

Price : 450.00 360.00

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This textbook has been designed to meet the needs of B.Sc. First Semester students of Mathematics as per Common Minimum Syllabus prescribed for Ranchi University and other Universities and Colleges under the recommended National Education Policy 2020 in Jharkhand. To possess an in-depth knowledge of the subjects, topics such as Differentiability of a Function, Chain Rule of Differentiation, Mean Value Theorems, Darboux Theorem, Successive Differentiation: Leibniz's Theorem, Maclaurin and Taylor's Theorems, Curvature, Asymptotes and Curve Tracing, Integration of Rational and Irrational Functions, Definite and Special Integrals,  Reduction Formulae, Length and Area Bounded by Plane Curves, Volume and Surface Area of Solid of Revolution, Planes, Straight Lines and Spheres etc. are well explained.

• 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

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

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