Engineering Mathematics

1. Purpose This document confirms that the Mathematics notes compiled for B.Tech CSE Semester 1 comprehensively cover all the core topics required for the curriculum. 2. Covered Chapters Chapter Topics Included 1. Matrices • Types of matrices (square, diagonal, symmetric, skew‑symmetric) • Matrix operations (addition, multiplication, transpose, inverse) • Determinants and Cramer’s Rule • Rank of a matrix and applications | | 2. Differential Equations | • First‑order (linear, exact, Bernoulli) • Second‑order homogeneous and non‑homogeneous equations • Applications to growth and decay models | | 3. Integral Calculus | • Definite and indefinite integrals • Techniques of integration (by parts, partial fractions, trigonometric substitution) • Improper integrals and convergence | | 4. Multivariable Calculus | • Functions of two or more variables • Partial derivatives and gradient • Multiple integrals (double and triple) and applications (area, volume) |