This book is a collection of my lecture notes, exercise, homework and real-world projects. Foundations Mathematics is the first step in Mathematics for science and engineering students and it is a pre-requisite for ALL coming Math courses. The topics are: Fundamental operations with numbers,Some products, Factoring, Percentage, Ration and Proportion, Operations with polynomials, Linear equations, Linear inequalities, Quadratic equations, Analytic Geometry, Functions, Linear functions, Quadratic Functions, System of linear equations.