DELA Course Plan :
DELA Book :
Unit 1
First order ordinary Differential Equations with applications
Revision of ordinary differential equation: Introduction of Mathematical Modeling, Basic Definitions, First Order First Degree Differential Equations, Variable Separable equation, Homogeneous Equation, Exact Differential Equations, Reduction of Non-Exact Differential Equations to exact form using Integrating Factors, First Order Linear Differential Equation, Bernoulli Equation Applications: Orthogonal Trajectories, Simple Electric Circuits.
Unit 2
Higher order ordinary differential equations with applications
Solution of Linear differential equations of higher order with constant coefficients, complimentary function and particular integral, Method of variation of parameters, Method of undetermined coefficient Application of Linear differential equation – Application of Deflection of Beams, Electric circuits
Unit 3
Partial differential equations with applications
Formation of Partial differential equations, Lagrange’s method, Directly Integrals equations, Method of separation of variables, solution of one dimensional wave equation, heat equation and Laplace equation.
Unit 4
Linear Algebra
Concepts of Determinants and Matrices, Types of Matrices Row Echelon and Reduced Row Echelon form
Inverse of a Matrix, Rank of a Matrix, Normal Form System of Linear Homogeneous Equations System of Non-Homogeneous Equations, Gaussian Elimination Method Eigen Values and Eigen Vectors – Properties of Eigen Values and Eigen Vectors, Caley Hamilton theorem.
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