Calculus: The Math of Change
Like Duolingo, but for Calculus: The Math of Change. Tomo turns the whole topic into a game you play five minutes a day, until it actually sticks.
For the part of you with thirty open tabs that never became anything.
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Key ideas in Calculus: The Math of Change
- Average speed requires a starting and ending point, while an instant is a single point
- Standard division fails at an instant because the time elapsed is zero
- Smooth curves in calculus behave like lines when viewed at a microscopic scale
- Calculus is needed to handle the math of 'approaching' zero time
- Zooming in allows us to apply linear math (like slope) to non-linear shapes
- The conceptual shift from average speed to instantaneous speed
- The principle of local linearity
- The steepness of the line represents the speed of change
- A positive slope indicates the value is increasing
- The slope of the tangent line is the physical meaning of the derivative at that point
- At a peak, the curve stops going up and hasn't yet started going down
- A perfectly flat horizontal line has a slope of zero
- Calculus finds maximums by solving for where the change is zero
- A derivative is a separate function that tracks the slope of the first function
- Using slope to measure the rate of change at a point
- The derivative's value at 'x' is the original's steepness at 'x'
You've tried the other tabs
Thirty open tabs. Four facts you actually kept.
You watched. You nodded. By Sunday it was gone.
One answer, then back to scrolling.
Eight weeks. You meant to finish. You didn't.
Tomo gives Calculus: The Math of Change the Duolingo treatment: levels, streaks, and quick quizzes that test what you just learned. That game loop is what the tabs above never had, so it's the one you actually finish.
Here's what playing it feels like
A real question from this course. Take your best guess.
If you want to find your average speed on a bike ride, what do you absolutely need to have?
Get it right to open this lesson and 8 more in the app.
Where Calculus: The Math of Change takes you
Stop seeing math as static numbers and start seeing it as a movie. Learn how to measure the exact moment of change and how tiny slices add up to big results.
- 1
Capturing the Moment
- The Speedometer Problem
- Slicing and Stacking
- 2
The Big Connection
- The Great Undo Button
2 sections · 3 units · 9 levels. Built to play, not to enroll.
You pick the voice
Calculus: The Math of Change is taught in the Explain Like I'm 5 style: no big words. promise.. Want a different feel? In the app you can spin up the same topic in any of Tomo's teaching styles. Same facts, totally different vibe.
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