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The book entitled 'Differential Calculus and Integral Calculus' is intended to be used as a text book of the students of B.Sc-I ( .... Read More
The book entitled 'Differential Calculus and Integral Calculus' is intended to be used as a text book of the students of B.Sc-I (Semester-1) Mathematics. It is written according to the unified common minimum syllabus for all UP state universities and colleges under National Education Policy–2020. We have fully understand the need of the students. Therefore, we have take great cave to present the subject matter in the most clear interesting and complete form. A humble and sincere effect has been made so that book may prove useful for both teachers and taught. We gratefully acknowledge our indebtedness to various authors and publishers whose book have been freely consulted during the preparation of this book. No claim in made of originality at any stage, but presentation is our own. We express our deep sense of gratitude M/s Pragati P r a k a s h a n Me e r u t t h e i r e n c o u r a g e me n t a n d cooperation of bringing out the book in time and in such an elegent form. Suggestions for further improvement will be gratefully acknowledged and accepted.
Sr | Chapter Name | No Of Page |
---|---|---|
1 | REALNUMBERS SYSTEM | 38 |
2 | LIMITS AND CONTINUITY | 49 |
3 | DIFFERENTIABILITY | 26 |
4 | MEAN VALUE THEOREMS | 17 |
5 | SUCCESSIVE DIFFERENT A TION | 30 |
6 | EXP ANSIONS OF AFUNCTIONS | 19 |
7 | INDETERMINA TE FORM OF LIMITS | 19 |
8 | P ARTIALDIFFERENTIA TIONS | 33 |
9 | T ANGENT AND NORMALS | 18 |
10 | CURV A TURE | 35 |
11 | ENVELOPES AND EVOLUTES | 17 |
12 | ASYMPTOTES | 27 |
13 | SINGULAR POINTS AND CURVE TRACING | 37 |
14 | SEQUENCE | 39 |
15 | INFINITE SERIES | 56 |
16 | RIEMANN INTEGRAL | 46 |
17 | IMPROPER INTEGRALS | 29 |
18 | BET A AND GAMMAFUNCTIONS | 36 |
19 | RECTIFICA TION OF CURVES | 26 |
20 | QUADRATURE (AREAOF BOUNDED CURVES | 23 |
21 | SURFACE AND VOLUME OF SOLIDS OF REVOLUTION | 30 |
22 | MULTIPLE INTEGRALS | 54 |
23 | DIFFERENTIA TION AND INTEGRA TION OF VECTORS | 27 |
24 | GRADIENT , DIVERGENCE AND CURL | 32 |
25 | GREEN’S GAUSS’S AND STOKE’S THEOREMS | 32 |