Elementary Calculus
by Dr. H.K. Pathak
₹480
Useful for
About this book
If you are a B.A./B.Sc. First Year student at any Chhattisgarh State University — PRSU Raipur, Hemchand Yadav University Durg, Guru Ghasidas University Bilaspur, or any affiliated college — this is the only Calculus textbook you need for Semester I.
Written by Dr. H.K. Pathak, Ex-Professor and Former Head, School of Studies in Mathematics, Pt. Ravishankar Shukla University (PRSU) Raipur, this 632-page book follows the exact NEP 2020 syllabus of all Chhattisgarh State Universities. Dr. Pathak brings decades of teaching experience and 3,400+ Google Scholar citations to every page.
Every chapter includes previous year solved and unsolved questions from CG university examinations. MCQs, Objective Type Questions, and HOTS questions prepare students for all exam formats under NEP 2020. The calculus topics covered — limits, continuity, mean value theorems, integration — also directly overlap with GATE CS and IIT JAM Mathematics syllabuses. Published by Shree Shiksha Sahitya Prakashan, Meerut.
Syllabus coverage
Unit 1 · Indian Mathematicians, Sequences & Continuity
Contributions of Bodhayan, Brahmagupta, Bhaskaracharya, Leelavati; Sequences, Continuity and Differentiability
Unit 2 · Mean Value Theorems & Series
Rolle's Theorem, Lagrange's and Cauchy's Mean Value Theorems, Leibnitz Theorem, Taylor's and Maclaurin's Series
Unit 3 · Curvature & Curve Tracing
Curvature, Asymptotes, Curve Tracing (Cartesian, polar and parametric curves), Points of Inflection
Unit 4 · Integration
Elementary Integration, Transcendental Functions, Reduction Formulae, Definite Integrals
