Pre-Calculus

Introduction

Precalculus is a mathematical course or a set of courses that act as a foundation for calculus. The two main topics that are included under precalculus are algebra and trigonometry. Precalculus courses can be structured differently depending upon the type of career path chosen by students.




Precalculus Topics

Precalculus helps in preparing for higher-grade and college-level calculus courses. The various topics covered under precalculus are as follows:


Trigonometry 

Trigonometry relates the sides of a right-angled triangle to its angles using trigonometric ratios. 

Trigonometry - What is Trigonometry? Formulas, Table, Examples. (n.d.). Cuemath. https://www.cuemath.com/trigonometry/ 

What are functions in math?- Cuemath. (n.d.). Cuemath. https://www.cuemath.com/calculus/What-are-functions/ 

Functions 

Functions are binary relations between two sets where every element of the domain is mapped to exactly one element of the codomain. 

The precalculus functions topics are given below:

Sequences/Progressions 

Arithmetic, harmonic, and geometric sequences are the three types of sequences that fall under a precalculus course.  

Sequence and Series - difference, definitions, examples. (n.d.-b). Cuemath. https://www.cuemath.com/numbers/sequence-and-series/ 

Conic Section -Definition, Formulas, Equations, Examples. (n.d.). Cuemath. https://www.cuemath.com/geometry/conic-sections/ 

Conic Sections 

Under conic sections, students are introduced to different geometrical figures and their properties that will be used in calculus. 

The subtopics that are covered under this are mentioned below.