Basic Calculus and Vector Calculus

About this book

Basic Calculus and Vector Calculus by Dr. H.K. Pathak is written to the Madhya Pradesh NEP 2020 Minor-1 syllabus, covering all modules in the order your paper sets them.

Unit-I is Vedic Calculus, the same unclaimed sutra material as the Major-2 book: the contributions of Aryabhata, Madhava and Jyeshthadeva, and the sutras your syllabus names — differentiation by Dhvaja Ghata Sutra, successive differentiation and division of polynomials by Urdhva-Triyagbhyam Sutra, integration by Ekadhikena Purvena and Paravartya Yoja Sutra, and the Vedic approach to areas under curves. Ten lectures no national textbook covers.

Then the remaining modules: successive differentiation with Leibnitz, Maclaurin and Taylor; partial derivatives of two and three variables; asymptotes of algebraic and polar curves; curvature, radius and centre of curvature; transcendental functions, reduction formulae and definite, double and triple integrals; and vector calculus through vector differentiation, triple products, gradient, divergence, curl, directional derivatives, vector identities and vector integration. Includes the Case Study module on Industrial Applications, plus solved examples from first principles, MCQs, objective questions, HOTS problems and solved question papers. Published by Shree Shiksha Sahitya Prakashan, Meerut.