Calculus: The Mathematics of Change
Like Duolingo, but for Calculus: The Mathematics 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.
24 levels across 4 sections, about 48 minutes end to end, roughly 10 days at five minutes a day. It moves through The Language of Change, The Power of the Derivative, Accumulation and Area, and Advanced Techniques and Series. It assumes you already know the basics.
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Key ideas in Calculus: The Mathematics of Change
- Continuous domains allow for any value within an interval
- The inner function must be evaluated first
- Discrete ranges restrict outputs to specific values
- Function composition is non-commutative
- Calculus models transition from discrete to continuous
- Output of first process becomes domain for second
- Distinguishing between continuous input domains and discrete output sets
- The sequential logic of function composition
- Inverse functions undo operations
- Vertical asymptotes and undefined fractions
- Continuous vs discrete domains
- Inverse graph reflection
- Asymptote magnitude
- Function composition logic
- Behavior at discontinuities
- Exponential growth rates are proportional to the current value, not a fixed amount.
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 Mathematics 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.
When you put one function inside another, which part of the system needs to do its work first?
Get it right to open this lesson and 23 more in the app.
Where Calculus: The Mathematics of Change takes you
Bridge the gap between algebra and higher mathematics by mastering the logic of limits, derivatives, and integrals. This course prepares you for the rigors of College Calculus II by focusing on the 'why' behind the formulas.
- 1
The Language of Change
- Functions as Dynamic Systems
- The Limit: Approaching the Impossible
- 2
The Power of the Derivative
- Instantaneous Motion
- Optimization and Curvature
- 3
Accumulation and Area
- Summing the Infinitesimal
- The Fundamental Connection
- 4
Advanced Techniques and Series
- Integration Strategies for Calculus II
- Infinite Series and Convergence
4 sections · 8 units · 24 levels. Built to play, not to enroll.
You pick the voice
Calculus: The Mathematics 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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