Mathematical Concepts of Engineering - EMAT-1

Are you an Engineering student finding it difficult to understanding Mathematical concepts, problems, etc.

Then this course is for you.

This course is designed to give a brief introduction to the mathematical concepts needed for engineering stream students.

It is designed for the course EMAT-1 (first semester).

Topics including

• Eigen values and Eigen vectors of a real matrix

• Properties of Eigen values

• Cayley – Hamilton theorem

• Reduction of a symmetric matrix to diagonal form

• Orthogonal matrices

• Reduction of quadratic form to canonical form by orthogonal transformations

• Euler's Theorem

• Total differentiation

• Taylor’s expansion - Introduction

• Maxima and Minima of functions of two variables

• Jacobians

• Linear equations of second order with constant and variable coefficients

• Homogeneous equation of Euler's type

These topics provide the fundamental basis of applying the concepts of engineering into motion.

The concepts are presented in a progressive detail-oriented scheme, explaining the basics and ending with the applications of the concepts. With mastering these basics concepts under the guidance of a teacher, the student can easily manipulate and grasp the engineering concepts in no time.