Elementary Mathematics: Real and Complex Numbers

A solid understanding of number systems is the foundation of mathematics, science, and quantitative analysis. This text-based course guides you step-by-step through core mathematical concepts, helping you build confidence in handling numeric relationships and theoretical foundations. You will learn how to categorize numbers, perform operations across different sets, and apply fundamental algebraic principles to solve equations. What you'll learn: • Understand the structure of number sets, including integers, rational numbers, real numbers, and complex numbers • Master fundamental real number operations, absolute values, and ordering principles • Learn the algebraic form of complex numbers, including addition, subtraction, multiplication, and division • Apply complex conjugates and calculate modulus to simplify expressions • Explore polar representations and geometric interpretations of complex numbers in modern applications • Practice systematic problem-solving strategies using written step-by-step examples. The course begins with clear definitions, foundational terminology, and basic number properties before advancing to complex operations and practical exercises. Perfect for beginners and anyone looking for a complete math refresher, this course requires no prior advanced math knowledge. Start reading today to build a strong quantitative foundation.