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:

Functions
Relations and Functions
Composite Functions
Logarithmic Functions

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.

Circle
Parabola
Hyperbola
Ellipse

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