Calculus
A working understanding of calculus — the mathematics of change and accumulation. The trunk gives you the throughline from limits and derivatives through the Fundamental Theorem to the borderlands where calculus hands off to analysis. Clusters dive into rigorous limits, integration techniques, multivariable and vector calculus, differential equations, series, and complex analysis.
1 pillars1 courses14 concepts
What you'll learn
Main Path
The mandatory throughline of this roadmap.
Calculus(14 concepts)
- What Calculus Actually Is
- Limits — Approaching Without Arriving
- Continuity and the IVT
- The Derivative as Instantaneous Change
- Differentiation Rules — A Working Toolkit
- Optimization with Derivatives
- The Definite Integral — Accumulation
- The Fundamental Theorem of Calculus
- Integration Techniques — When Antiderivatives Hide
- Series and Convergence
- Going Multivariable — Partial Derivatives and the Gradient
- Multivariable Integration in the Right Coordinates
- Differential Equations — When the Rate IS the Equation
- Where Calculus Hands Off — Real and Complex Analysis
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Frequently asked questions
What does the Calculus roadmap cover?
1 courses broken into 14 bite-size concepts, each taught as an interactive lesson with quizzes and spaced review.
Do I need prior experience to start?
No. The roadmap starts from fundamentals and builds in prerequisite order — each concept unlocks the next, so you're never thrown into material you haven't been prepared for. If you already know the basics, a placement check skips you ahead.
Is the Calculus roadmap free?
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