Mastering Real Numbers and Foundational Algebra

Algebra and number theory are the essential building blocks for higher mathematics, data science, and logical problem-solving. This course provides a comprehensive, text-based introduction to foundational algebra. You will move beyond simple arithmetic to confidently manipulate expressions, solve various types of equations, and understand the core properties of the real number system, preparing you for complex mathematical challenges. What you'll learn: * Understand the structure and properties of the real number system, including rational and irrational numbers. * Master techniques for factoring polynomials and applying the Remainder and Factor Theorems. * Practice solving linear equations and inequalities in one and two variables. * Apply fundamental algebraic methods to solve word problems and model real-world scenarios. * Build a solid foundation in essential number theory concepts like the Euclidean Algorithm and prime factorization. The course begins with essential terminology and the definition of number sets, progressing systematically through algebraic expressions, polynomial manipulation, and rigorous methods for solving systems of equations. Practical exercises reinforce conceptual understanding throughout the material. This course is designed for absolute beginners or those needing a thorough review of foundational mathematics. No prior knowledge beyond basic arithmetic is required. Start building your mathematical proficiency today.