Fundamentals of Mathematics II: Functions, Algebra, and Coordinate Systems

Developing a strong mathematical intuition is the key to unlocking success in advanced science, engineering, and data-driven fields. This text-based course guides you through the core algebraic and geometric principles that bridge basic arithmetic with advanced calculus. You will transition from memorizing formulas to deeply understanding mathematical relationships through clear written explanations and structured practice. By the end of this course, you will gain the confidence to analyze complex functions, manipulate trigonometric identities, and solve multi-step coordinate geometry problems. What you'll learn: - Understand the properties of quadratic equations, inequalities, and absolute values - Analyze and sketch various types of functions, including polynomial, rational, and exponential models - Apply trigonometric identities and equations to solve geometric and wave-based problems - Master coordinate geometry principles to analyze lines, circles, and foundational conic sections - Practice solving complex algebraic equations with structured, written step-by-step exercises - Discover how these mathematical foundations directly apply to modern algorithms and data science The course begins with a thorough introduction to equations and inequalities, establishing key terminology and definitions before moving into practical applications. You will then progress through functions, trigonometry, and coordinate geometry, ending with practical written exercises designed to test your analytical skills. This course is designed for students, self-taught programmers, and aspiring engineers looking to strengthen their mathematical foundations, with no advanced prerequisites required. Start reading today to build a powerful mathematical foundation for your future studies.