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(4+)

Chennai - Vellore Institute of Technology | R - 21 | Sem - 1

This Course Includes

7 Units
28 Chapters
353 Solved Problems

Set of Solved Problems for “FREE”

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Validity Period : **180 days **

4 Chapters | 47 Solved Problems

4 Chapters | 33 Solved Problems

3 Chapters | 22 Solved Problems

7 Chapters | 79 Solved Problems

4 Chapters | 80 Solved Problems

6 Chapters | 40 Solved Problems

** 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: **

- 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

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

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