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Math Formula Handbook

Quick reference for algebra, geometry, calculus and more
142 Formulas 📂 Study 👤 ToolWorld 🏷️ v1.7.0
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How to Use

📖 Introduction

Forgetting formulas, mixing them up or missing one out is the most common problem at every stage of mathematics learning: the difference of squares and the perfect square expansion in lower secondary school, the sum to product identities and the table of derivatives in upper secondary school, the Taylor expansion and Bayes theorem at university, all of which everyone wants to run through once more before an exam. This tool organises the one hundred and forty two most frequently used formulas into a searchable handbook, grouped into eight blocks: algebra, geometry, trigonometry, calculus, probability and statistics, linear algebra, sequences and elementary applied problems. Each entry gives the name of the formula, the expression itself and a one line note, and the note explains when the formula is used rather than merely restating it. Type a keyword to search across every entry, or browse block by block, and click any row to open the complete entry. While revising you can look at a single block only, or treat the whole collection as a quick reference sheet. All data is bundled into the plugin, so it works immediately without a network connection. Grouping by block rather than by alphabetical order reflects how the material is actually taught: a student revising trigonometry can open that block alone and see the sixteen identities in the order they are usually introduced, from the Pythagorean identity through the sum and product formulas. The one line note attached to each entry deliberately answers when the formula is used, which is the question that comes up in the middle of a problem rather than what the formula says. Searching across names, expressions and notes means a half remembered phrase such as sum to product is enough to find the identity. The whole handbook is embedded in the plugin, so it is available in an exam hall or on a train with no signal.


✨ Features

  • One hundred and forty two common formulas across eight knowledge blocks.
  • Every entry gives a name, the expression and a one line note on when to use it.
  • Full text search across names, expressions and notes.
  • Browse by block: algebra, geometry, trigonometry, calculus and more.
  • Click any row to open the complete card for that formula.
  • A slider controls how many rows are listed, for fast scanning.

🚀 How to use

  1. Type a keyword from the formula name or expression into the search field.
  2. Or use the category drop-down to browse by knowledge block.
  3. Drag the row limit slider to control how long the list is.
  4. Click any row to read the full explanation of that formula.
  5. Press copy to put the current list onto your clipboard.

⚠️ Notes

  • Symbol conventions. Superscripts use Unicode characters and a few fonts may display them slightly differently.
  • Scope of use. The note describes a typical situation; for variants under special conditions follow your textbook.
  • Angle units. Trigonometric formulas are derived in radians, so convert before substituting degree values.
  • Meaning of letters. The same letter can mean different things in different blocks, so read it in context.
  • Offline use. All formulas are bundled into the plugin and need no network connection.

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