1st year EE - Centurion University

1 st SEMESTERBTMA 1101 MATHEMATICS-I (3-1-0)MODULE-I (15 Hours)First Order Differential Equations: Separable Equations, Homogeneous & Non- homogeneous Equations,Exact Differential Equations, Integrating Factor, Linear Differential Equations, Bernoulli Equation.MODULE-II (15 Hours)Second & Higher Order Linear Differential Equations: Linear Dependence and Independence ofSolutions, Wronskian, Constant Coefficient Homogeneous Equations, Cauchy-Euler Equation, NonhomogeneousEquations, Method of Variation of Parameter, Method of Inverse Operator, LegendreEquation.MODULE-III (20 Hours)Linear Algebra, Basic Concepts, Linear System of Equations, Solution by Gauss Elimination, Conditionsof Existence and Uniqueness of Solutions, Rank of a Matrix, Determinants and Cramer’s Rule, LinearDependence and Independence, Eigen Values and Eigen Vectors, Basis, Symmetric, Skew-Symmetricand Orthogonal Matrices, Complex Matrices, Similarity of Matrices, Diagonalization.Text Books:1) Higher Engineering Mathematics by B.V. RamanPublisher: TMHChapters : 8 (8.1 to 8.10) ; 9 (9.1 to 9.7)2) Advanced Engineering Mathematics by E. KreyszigPublisher: Johnwilley & Sons Inc-8 th EditionChapters : 6 (6.1 to 6.6) ; 7 (7.1, 7.3 to 7.5)Reference Books:1) Advanced Engineering Mathematics by P.V.O’ NeilPublisher: Thomson2) Mathematical Methods by Potter & Goldberg ; Publisher : PHI3