They are the two titans of high school and college math. But what is the real difference? This is Algebra vs. Calculus.

Algebra is the mathematics of static situations. It's perfect for solving puzzles where values are fixed.

Calculus is the mathematics of change. It's the language of motion, growth, and things that are constantly shifting.

Algebra can tell you the speed of a car. Calculus can tell you the speed of the car *at the exact instant* it passes you.

The core of Calculus is built on two powerful, opposite ideas: the Derivative and the Integral.

The Derivative is about finding the instantaneous rate of change (the slope at a single point).

The Integral is about finding the accumulation of change (the area under a curve).

The shocking truth: The Fundamental Theorem of Calculus proves that these two ideas are perfect opposites.

You CANNOT do calculus without being a flawless master of algebra. Algebra is the language you use to perform calculus.

Algebra gives you a snapshot. Calculus gives you the entire movie. It is the breathtaking next step in your mathematical journey.