Basic Calculus and Vector Calculus | B.A./B.Sc. First Year MINOR-1 Paper | NEP 2020 Syllabus of All Madhya Pradesh Universities | Vedic Calculus, Solved Papers, MCQs & HOTS | Dr. H.K. Pathak

First, so you buy the right book: this is the MINOR-1 paper (60 lectures), for students reading B.Sc. Physics, Chemistry or Computer Science, or Mathematics as a B.A. minor. Mathematics majors needing Major-2 (90 lectures) want 'Calculus and Vector Analysis' by the same author.

If mathematics is not your main subject, the books on the shelf are not written for you. Thomas, Malik and Raisinghania are references for mathematics majors - three times the material your 60 lectures require, in language assuming a background you never got, at two to three times the price. This book covers your paper and stops.

Unit-I is Vedic Calculus: 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 your 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, 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.

Solved examples from first principles, MCQs, Objective Questions, HOTS problems and solved question papers.

By Dr. H.K. Pathak, Ex-Professor and Head, School of Studies in Mathematics, Pt. Ravishankar Shukla University, Raipur; former Dean of Science; cited over 3,300 times. For students at Vikram Ujjain, DAVV Indore, Jiwaji Gwalior, RDVV Jabalpur, Barkatullah Bhopal, Harisingh Gour Sagar and APS Rewa. Also available in Hindi as Aadharbhoot Kalan aur Sadish Kalan.