Foundational Algebra: Logarithms, Quadratics, and Inequalities

A solid grasp of algebra is the single most important foundation for success in higher mathematics and technical fields. This course provides the rigorous conceptual clarity you need to move forward. By the end of this program, you will possess a deep understanding of essential algebraic structures, enabling you to confidently analyze, manipulate, and solve complex equations and inequalities. What you'll learn: * Understand the definition and properties of logarithms, including change-of-base rules, to solve exponential equations. * Master techniques for solving quadratic equations using factoring, completing the square, and the quadratic formula. * Analyze the nature of roots using the discriminant and construct quadratic equations from given conditions. * Apply systematic methods for solving linear and non-linear inequalities, including polynomial and rational inequalities. * Practice translating real-world scenarios into mathematical models involving these fundamental functions. We begin with the foundational terminology and definitions for each topic, progressing through detailed step-by-step techniques and practical problem sets designed to build proficiency. This course is designed for absolute beginners or those needing a thorough review of fundamental algebra concepts. No prior mathematical knowledge beyond basic arithmetic is required. Start building your powerful mathematical foundation today.