## Pre-Calculus

Master the fundamentals of exponential, logarithmic, hyperbolic, and parametric equations.

Circles

Ellipses

Parabolas

Hyperbolas

Laws for Exponents

Exponential Growth

Graphs and Finance

Doomsday Scenarios

Defining Logarithms

Graphing Logarithms

Log Scales

Log Arithmetic

Log Equations

Parametric Paths on a Grid

Lines

Projectiles

Pendulums

### Course description

Where will a cannonball land after firing? How does a harmonograph create art? How can logarithm scales help us represent the universe? Through motivating questions and interactive graphing, you’ll learn pre-calculus without relying on memorization. By the end of this course, you’ll have mastered the foundational skills for working with exponential equations, logarithms, conic sections, and parametric equations.

### Topics covered

- Conic Sections
- Ellipses
- Exponential Growth
- Hyperbolas
- Log Scales
- Logarithmic Identities
- Parabolas
- Parabolic Mirrors
- Parametric Equations
- Transforming Functions

### Prerequisites and next steps

You should know the content up through our Algebra II course.