A precalculus course serves as a bridge between algebra, geometry, and calculus, preparing students for more advanced mathematical studies. The course typically covers a wide range of functions—including polynomial, rational, exponential, logarithmic, and trigonometric functions—with an emphasis on their properties, graphs, and transformations. Students learn how to analyze and model real-world problems using these functions and gain a deeper understanding of complex numbers, sequences and series, and systems of equations and inequalities.
In addition to function analysis, precalculus often includes topics such as conic sections, vectors, parametric equations, and an introduction to limits. Students also explore more advanced trigonometry, including identities, equations, and applications involving the Law of Sines and Law of Cosines. The course encourages both analytical and graphical problem-solving approaches, reinforcing skills from algebra and geometry while setting the foundation for the logical and conceptual thinking required in calculus.