Engineering Maths Class notes(LAC)

Comprehensive study materials for the Linear Algebra and Calculus (LAC) course under the JNTUA R20 Regulation (Course Code: 20A54101). These notes cover all five units in detail, following the latest syllabus for B.Tech students (AI&DS, CSE, ECE, etc.). Key Topics Covered: Unit 1 (Matrices): Rank of a matrix, Echelon form, Eigenvalues/Eigenvectors, and Cayley-Hamilton Theorem. Unit 2 (Mean Value Theorems): Rolle’s, Lagrange’s, and Cauchy’s theorems with Taylor’s and Maclaurin’s series. Unit 3 (Multivariable Calculus): Partial derivatives, Jacobians, and Maxima/Minima of functions. Unit 4 (Multiple Integrals): Double and Triple integrals, change of order, and area/volume calculations. Unit 5 (Beta & Gamma Functions): Definitions, properties, and evaluation of definite integrals.