Learning Path

Learning path for derivatives, integrals, and vectors

Start with clearly structured mini lessons and jump into sandbox graph mode afterwards. Your progress stays stored locally in the browser.

Start module 1 Sandbox mode

Overall progress 0%

Module 1

Derivatives

Fundamentals, rules, and first curve analysis.

Derivatives made easy

An introduction to differential calculus

> 2

Derivative rules

Constant multiple rule, chain rule, and worked examples

> 3

Curve analysis

Find maxima, minima, and saddle points

> 4

Differential calculus in depth

Tangents/normals, extrema, inflection points, curve analysis, optimization

Module 2

Integrals

Understand areas and apply antiderivatives confidently.

Understanding integrals

Area calculation and antiderivatives

> 2

The antiderivative

Symbolic integration and the constant +C

> 3

Integral calculus in depth

Area, accumulation, antiderivative, average value, applications

Module 3

Vectors

Direction, magnitude, and vector operations in the coordinate plane.

Discovering vectors

Direction, magnitude, and vector addition

> 2

Analytic geometry & vectors

Lines/planes, dot product, angles, distances, positional relationships

Module 4

Transformations

Understand parameters and steer function shapes with intent.

Exploring parameters

How parameter a changes everything

Sandbox mode

Draw graphs and use every tool without guidance.

FAQ: Learning Path

Quick answers for common questions about progress, lessons, and tool usage.

How do I start?
Start module 1 and solve each lesson in order. Then switch to the plotter to apply concepts directly.
Where is progress saved?
Progress is stored locally in your browser. You can continue where you left off.
What next after the path?
Deepen topics with the matrix calculator, finance math, and equation system solver.