Course Objectives:

• To provide the requisite and relevant background necessary to understand the other important engineering mathematics courses offered for Engineers and Scientists.
• To introduce important topics of applied mathematics, namely Single and Multivariable Calculus and Vector Calculus etc.
• To impart the knowledge of Laplace transform, an important transform technique for Engineers which requires knowledge of integration
• To make the students understand various techniques of integration.
• To acquaint the student with mathematical tools needed in evaluating multiple integrals and their applications.

 Expected Course Outcomes:

At the end of this course the students should be able to

• Apply single variable differentiation and integration to solve applied problems in engineering and find the maxima and minima of functions
• Understand basic concepts of Laplace Transforms and solve problems with periodic functions, step functions, impulse functions and convolution
• Evaluate partial derivatives, limits, total differentials, Jacobians, Taylor series and optimization problems involving several variables with or without constraints
• Evaluate multiple integrals in Cartesian, Polar, Cylindrical and Spherical coordinates.
• Understand gradient, directional derivatives, divergence, curl and Greens’, Stokes, Gauss theorems 6. demonstrate MATLAB code for challenging problems in engineering

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