SDMCET: Syllabus Suggested plan of study I Semester B. E. ...

SDMCET: Syllabus11UMAC200 Engineering Mathematics – II (4–0–0-0) 4Course Objectives: The program educational objectives for the Engineering , are important forsuccessful professional practice and the ability to pursue advanced degrees. The student will be prepared to: Use technical, team work and communicationskills along with leadership principles to pursue Maths in areas such asstructural, transportation, environmental electric circuits, heat conduction andvibrating strings and other fields. Engage in life – long learning through independent study and by participatingin professional conferences, workshops, seminars or continuing education.Contribution to Outcomes:At the time of graduation, Engineering Mathematics graduates are expected: An ability to apply knowledge of Mathematics An ability to understand differential calculus, integrated calculus, differentialequations,vector differentiation and vector integration and apply them toengineering applications. An ability to understand Laplace transform and inverse Laplace transform andapply them to many engineering applications. An ability to identify, formulate and solve engineering problems.Course Contents:1) Differential equation (I): Introduction, Linear and Bernoulli’s equations, Exactequations and reducible to exact form. Application of ODE’S to find orthogonaltrajectories and electrical circuits.8 Hrs.2) Differential Equations (II): Linear differential equations of 2nd and higher orderwith constant coefficients, Method of variation of parameters and solutions ofCauchy’s homogenous linear equations, Legendre’s linear differential equations,solutions of Engineering problems: Electric circuits, simple harmonic motion.10 Hrs.3) Laplace Transforms: Definitions, Laplace transform of elementary functions,properties, periodic function, unit step function. Illustrations, examples. 10 Hrs.4) Inverse Laplace Transforms: Definition of Inverse Laplace transform,convolution theorem, Solutions of ordinary differential equations andsimultaneous differential equations. Applications to Engineering problems-Vibrations of a string, LRC circuits.10 Hrs.5) Vector Differentiation: Scalar and Vector point functions, Velocity, Acceleration.The vector differential operator, Gradient, Geometrical interpretation of gradientI Year B. E: 2013 – 1427