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This book has been specially written according to the National Education Policy 2020 to meet the B.Sc. and B.A. Ist year, Ist Semester students of .... Read More
This book has been specially written according to the National Education Policy 2020 to meet the B.Sc. and B.A. Ist year, Ist Semester students of universities in Uttar Pradesh. The text is rich in examples and exercises and develops the subject at a leisurely place. It is planned to be readable and to achieve some depth in the topics considered.
| Sr | Chapter Name | No Of Page |
|---|---|---|
| 1 | -DEFINITION OF THE LIMIT OF A FUNCTION | 9 |
| 2 | CONTINUOUS FUNCTIONS AND CLASSIFICATION OF DISCONTINUTIES | 8 |
| 3 | DIFFERENTIABILITY | 6 |
| 4 | ROLLE’S THEOREM, FIRST AND SECOND MEAN VALUE THEOREM, TAYLOR’S THEOREM WITH LAGRANGE’S AND CAUCHY’S FORMS OF REMAINDER | 7 |
| 5 | SUCCESSIVE DIFFERENTIATION AND LEIBNITZ’S THEOREM | 10 |
| 6 | EXPANSION OF FUNCTIONS | 6 |
| 7 | INDETERMINATE FORMS | 8 |
| 8 | PARTIAL DIFFERENTIATIONS | 9 |
| 9 | SEQUENCE | 9 |
| 10 | INFINITE SERIES | 11 |
| 11 | TANGENTS AND NORMAL | 13 |
| 12 | CURVATURE | 13 |
| 13 | ENVELOPS, EVOLUTES AND INVOLUTES | 8 |
| 14 | ASYMPTOTES | 8 |
| 15 | SINGULAR POINTS : CURVE TRACING | 8 |
| 16 | REAL NUMBERS SYSTEM | 11 |
| 17 | BETA AND GAMMA FUNCTION | 8 |
| 18 | LENGTH OF CURVES (RECTIFICATION) | 6 |
| 19 | QUADRATURE | 6 |
| 20 | SURFACE AND VOLUME OF SOLIDS OF REVOLUTION | 7 |
| 21 | MULTIPLE INTEGRALS | 43 |
| 22 | RIEMANN INTEGRAL | 13 |
| 23 | IMPROPER INTEGRALS | 14 |
| 24 | DIFFERENTIATION AND INTEGRATION OF VECTORS | 14 |
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