Get the app

Calculus

6 lessons

Download on the App Store
Explore with AI:ChatGPTClaudePerplexity

What you'll learn

  1. Unit 1

    Rates of Change

    6 lessons
    1. Average rate over an interval
    2. Units of a rate
    3. Read average rates and unitsChallenge
    4. Secant lines shrinking to a tangent
    5. Estimate a slope from shrinking intervalsExercise
    6. Rates of change reviewUnit review

Explore more roadmaps

Economics
A working understanding of how economies actually behave — how scarcity drives choice, how markets allocate resources (and fail to), how money and policy steer the macroeconomy, and how trade, behavior, and institutions shape long-run prosperity. The trunk gives you the throughline a literate citizen needs; clusters dive into elasticity, market failures, consumer/producer theory, monetary and fiscal policy, trade policy, behavioral finance, and economic history.
Probability & Statistics
A working understanding of probability and statistics — how to reason under uncertainty, turn data into claims, and recognize when those claims are honest. The trunk gives you the core vocabulary and the inference pipeline; clusters dive into Bayesian reasoning, frequentist theory, regression, stochastic processes, and experimental design.
Algebra & Precalculus
The foundation curriculum that prepares you for any university-level math course — calculus, linear algebra, discrete math, statistics. Builds symbolic fluency from variables and equations through functions, polynomials, exponentials, trigonometry, and the proof and set-theory groundwork that modern mathematics rests on.
Cybersecurity
A working understanding of cybersecurity — how attackers operate, how defenders push back, and the moving parts of every modern security program. The trunk gives you the throughline from threat model to defense to response; clusters dive into cryptography, network defense, web application security, secure coding, penetration testing, incident response, cloud security, and governance.
Mathematics
A working understanding of mathematics — the universal language scientists, engineers, and quants use to describe the world. The trunk gives you the throughline from how mathematicians think to how math models reality; clusters dive into proof, trig, calculus mechanics, advanced linear algebra, number theory and cryptography, probability, stochastic processes, and the foundational limits of math itself.
Music Theory
A working understanding of how music is built — the twelve-note system, intervals, scales, keys, chords, harmony, rhythm, and form. The trunk gives you the complete map from a single note to a finished song; clusters dive deep into modes, the circle of fifths, chord construction, progressions, rhythm, melody, and form.

Frequently asked questions

What does the Calculus roadmap cover?

1 unit: Rates of Change.

How do I start the Calculus roadmap?

Get the Mochivia app on the App Store and open this roadmap there.

Start Calculus

Download on the App Store