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# Pre-Calculus

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

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.

25

180+
1. 1

### Introduction to Pre-Calculus

Get a start with exponential growth and logarithms.

1. #### Exponential Growth to the Moon

Start thinking about exponential functions with this estimation and stacking challenge.

2. #### Logarithms

What is a logarithm, and how do you solve one?

3. #### Logarithmic Scales in Space

Unify exponential and logarithm ideas as you chart a map through space.

2. 2

### Exponentials

It gets large (or small) faster than you might think!

1. Included with

#### Exponential Growth

Keep on doubling!

2. Included with

#### Changing the Base

What happens when you change the base of an exponential?

3. Included with

#### Exponential Arithmetic

Get some practice algebraically and graphically transforming exponents.

4. Included with

#### Financial Investing

Learn some of the money-related applications of exponents.

3. 3

### Logarithms

Invert exponentials to get these.

1. Included with

#### Defining Logarithms

Get started with the basic ideas behind logarithms.

2. Included with

#### Log Scales

Practice the application of log scales.

3. Included with

#### Graphing Logs

What does a log look like when you graph it?

4. Included with

#### Understanding Log Arithmetic

Add, subtract and multiply with logarithms.

4. 4

### Conic Sections

Slice a cone and open a whole new class of curves.

1. Included with

#### Introduction to Conic Sections

Strengthen your intuition for conic sections and the parabola as a special case of conic slices.

2. Included with

#### Circles

Practice moving circles around the coordinate plane.

3. Included with

#### Ellipses

Stretch circles into ellipses and understand the relationship between an ellipse's foci and its function.

4. Included with

#### Parabolas

Learn another way to define a parabolic curve using a focus point and directrix line.

5. 5

### Parametric Equations

Separate the horizontal and the vertical.

1. Included with

#### Horizontal and Vertical

Describe motion with equations.

2. Included with

#### Lines

Use two equations to track a point on a line.

3. Included with