Book Title: Guide to Precalculus Review

Book Description

This guide  reviews several mathematical objects:

• The set of real numbers where operations of addition, multiplication, and comparison  are introduced. Subsets of real numbers, in particular intervals, are described  and operations of union and intersection are practiced.
• The set of polynomials and rational fractions. Operations are defined and processes of factoring and simplifying are explored.
• The plane and some of its subsets like points, lines, and circles. Each of these sets is described using coordinates or the Euclidean distance.
• The set of functions is characterized by their domains and the properties of their graphs. The parabola is completely studied.

The above objects are introduced in short sections.  Each section begins with a summary, then followed  by a short video where solved examples are illustrated step by step. Some practice questions with feedback are suggested.

This approach aims to foster conceptual understanding and technical skills.