Guided path · Visual Calculus

Calculus makes sense when you can watch it happen.

Twelve live lessons connect the prerequisite ideas to limits, derivatives and integrals. Follow the sequence or jump directly to the idea you need.

Start lesson 01 →Choose a lesson

New to calculus?Follow 01 → 12.Studying now?Jump to the matching module.

12live lessons

4connected modules

1visual + check each

Freeno account needed

Curriculum map

Four connected modules.

Foundations appear before the concepts that use them, so the path feels like a story instead of a chapter dump.

Foundations

Read a graph, separate approach from value, understand slope and running totals.

Limits

Nearby behavior, missing points, long-run ratios, small angles and the Squeeze Theorem.

2 guided lessons + chain rule deep dive

Derivatives

Watch a secant settle into a tangent, read slope at a point, then see composed local rates multiply.

1 guided lesson + theorem deep dive

Integrals

Turn area into a continuous running total, then connect it to the Fundamental Theorem.

Guided 12-lesson path

Follow in order or jump in.

Each lesson takes one visual job. “Continue the path” always points to the next prerequisite-aware step.

FoundationHow to read a function graphInput x → output f(x)

FoundationApproaching a point vs being at the pointThe dot can say 3 while nearby values head to 2

LimitsA limit is where nearby values are headingApproach from both sides

LimitsRemovable discontinuity: a hole can still have a limitNearby behavior vs value at the point

LimitsLimits at infinity and horizontal asymptotesWatch (3x+1)/(x+1) approach y=3

LimitsSmall angle approximation: why sin(x)/x approaches 10/0 as a signal, not an answer

LimitsSqueeze Theorem visualizedTwo collapsing bounds force the middle limit

FoundationSlope is a direction numberRise/run, sign and steepness

DerivativesLimit definition of the derivativeSecant slope → tangent slope

DerivativesTangent line at a pointMove the tangent and read the derivative as local slope

Derivative deep diveChain Rule: two local stretch factors multiplyMove x through an inner function and an outer function, then watch the local rates combine

FoundationAccumulation is a running totalKeep what came before as new pieces arrive

IntegralsAccumulation function: area becomes a functionMove the upper bound and watch the running total F(b) change

Theorem deep diveFundamental Theorem of Calculus: Part 1 & Part 2Connect accumulated area, derivatives and exact antiderivative evaluation

Ready?

Begin with the one skill every visual uses.

Start lesson 01 →

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