Engineering Mathematics-I for RGPV Bhopal | B.Tech Semester 1 | Calculus, Series, Matrices, Vector Spaces | AICTE Curriculum | Dr. D.C. Agarwal

Engineering Mathematics-I by Dr. D.C. Agarwal is a comprehensive 550-page textbook for B.Tech Semester 1 students at Rajiv Gandhi Proudyogiki Vishwavidyalaya (RGPV), Bhopal. 100% aligned with the AICTE Flexible Curriculum (BT-102), it has been the primary classroom and examination resource in Madhya Pradesh engineering colleges for over 20 years.

All five prescribed modules are covered in full: Calculus-I (Rolle's theorem, Mean Value theorems, Taylor's and Maclaurin's series for one and two variables, Partial Differentiation, Maxima and Minima, Lagrange Multipliers), Calculus-II (Definite Integrals, Beta and Gamma functions, Multiple Integrals, Surface and Volume calculations), Sequences & Series (convergence tests, Power series, Fourier series, half-range series, Parseval's theorem), Vector Spaces (Basis, Linear Transformations, Linear Dependence and Independence), and Matrices (Rank of Matrix, Eigenvalues, Eigenvectors, Diagonalisation, Cayley-Hamilton theorem).

University exam questions at RGPV are regularly drawn from the worked examples in this book. Hundreds of stepwise solved examples are matched to RGPV examination patterns. This is a complete textbook — not a notes booklet — designed for students who want both conceptual depth and examination confidence.

Widely used at RGPV Bhopal and private MP engineering colleges including LNCT, Sage University, AISECT, ITM, and TIT Bhopal. Its thorough coverage of Calculus, Fourier Series, Eigen values, and Vector Spaces also makes it a strong reference for engineering students nationally.