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 matrixProperties of Eigen valuesCayley Hamilton theoremReduction of a symmetric matrix to diagonal formOrthogonal matricesReduction of quadratic form to canonical form by orthogonal transformationsEuler’s TheoremTotal differentiationTaylors expansion - IntroductionMaxima and Minima of functions of two variablesJacobiansLinear equations of second order with constant and variable coefficientsHomogeneous equation of Euler’s typeThese 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.