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Makini Learning

Learn Math, AP Calculus & Computer Science

Guides to the ideas behind the formulas. Written for students who want to understand, not just memorize.

How to Catch Up in Precalculus Before Calculus Starts

Calculus does not use all of precalculus equally. A ranked list of what it actually leans on, worked examples for each, a four-week plan, and a diagnostic with answers.

Makini Learning·Aug 15

Common Algebra Gaps That Make Calculus Hard

Most marks lost in calculus are lost on algebra, three lines after the calculus was already right. Eight specific gaps, each with the calculus problem where it bites, and a self-check.

Makini Learning·Aug 15

What to Do When You Are Failing AP Calculus

If your grade is dropping, this guide tells you exactly what to do and when tutoring actually helps.

Makini Learning·Aug 15

AP Calculus AB vs. BC: Which Course Should You Take?

BC is not a harder version of AB — it is AB plus two more units. Here is exactly what BC adds, what the difference feels like in an actual problem, and how to choose.

Makini Learning·Aug 15

Derivatives Without the Dread: What It Actually Measures

A derivative is answering a simple question: how fast is this changing? Everything else flows from there.

Christine·Aug 15

Continuity: The Three Conditions That Actually Matter

Calculus assumes smoothness. Continuity is just asking: does this graph have surprises?

Christine·Aug 15

The Chain Rule Breaks Here (Find Your Break)

You know the formula. But when you see sin(3x² + 1), something goes wrong. Here's what's actually breaking.

Christine·Aug 15

Why Limits Feel Impossible (And Why They're Not)

A limit is just the answer to a simple question: what is the function heading toward? Here's the intuition behind the notation.

Christine·Aug 15