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Mind maps

Interactive Concept Mind Maps

A topic drawn as a map of its ideas and how they connect. The maps are written by AI.

Syllabus Maps:
12 Nodes• 3 Tiers• 12 Formulas

Interactive Conceptual Knowledge Map

Tap branch cards to expand or collapse nodes

Core Discipline
Calculus

∫abf(x) dx=F(b)−F(a)\int_{a}^{b} f(x)\,dx = F(b) - F(a)

Differential Calculus

f′(x)=lim⁡h→0f(x+h)−f(x)hf'(x) = \lim_{h \to 0} \frac{f(x+h) - f(x)}{h}

Chain Rule

(f∘g)′=(f′∘g)⋅g′(f \circ g)' = (f' \circ g) \cdot g'

Product Rule

(uv)′=u′v+uv′(uv)' = u'v + uv'

Implicit Differentiation

dydx\frac{dy}{dx}

Integral Calculus

∫u dv=uv−∫v du\int u\,dv = uv - \int v\,du

U-Substitution

∫f(g(x))g′(x) dx\int f(g(x))g'(x)\,dx

Integration by Parts

uv−∫v duuv - \int v\,du

Partial Fractions

Ax−a+Bx−b\frac{A}{x-a} + \frac{B}{x-b}

Sequences & Series

∑n=0∞f(n)(a)n!(x−a)n\sum_{n=0}^{\infty} \frac{f^{(n)}(a)}{n!}(x-a)^n

Taylor / Maclaurin Series

∑anxn\sum a_n x^n

Ratio & Root Tests

L<1L < 1

About this tool: Mind Maps

What it does
A topic drawn as a map of its ideas and how they connect, from what you need first to where it is used.
How to use it
Pick or type a topic and follow the branches. Use it to find the idea you are missing before going back to problems.
What to check
The maps are written by AI. Treat the connections as a guide to revise from, and check them against your textbook's chapter order.