Every calculus formula you need, in one offline app

CalcRef is the complete calculus formulas app for students: 100+ formulas across 8 topics, 6 reference tables, and flashcard quizzes — built for AP Calculus, college exams, and everyday review.

Free · iPhone, iPad & Android · Works fully offline

CalcRef's Formulas tab, subtitled Offline calculus companion: a library card reading Find the formula, calculate, then review the steps with a search field and counters for 136+ formulas, 8 topics and 16 unit sets, shortcuts to Favorites, Practice and Convert, and a Topics list starting with Limits & Continuity at 18 formulas, Derivatives at 24, and Applications of Derivatives at 15.
The formula library, eight topics deep, with no connection required.

What CalcRef looks like when you open it

Real screens from the app: a formula with its worked examples, the derivative rule reference, and a flashcard turned over.

  • CalcRef's entry for Left-Hand Limit under Limits and Definitions, showing the notation for the limit of f of x as x approaches a from the left equals L, a plain-English explanation, a condition note, and two worked examples solving the limit of the absolute value of x over x and the limit of floor of x, each ending in a highlighted answer.
    Not just the formulaEach entry carries its conditions and a worked example that ends in the answer.
  • CalcRef's Reference tab, subtitled Core derivative shortcuts and rule forms, with tabs for Derivatives, Integrals and Trig, showing derivative rule cards — the Power Rule mapping the function x to the n onto the derivative n times x to the n minus 1, and a card mapping e to the x onto e to the x.
    Rule tables you can scanFunction on top, derivative underneath — the layout you actually want mid-problem.
  • A CalcRef practice flashcard turned over on card 1 of 10, subtitled Retention over guessing: the answer panel reads Average Value of a Function with the integral formula for f average and the note that it is the integral of f on the interval a to b divided by the interval length, above Didn't know it and Knew it buttons.
    Practice that admits what you forgotFlip the card, then mark it honestly — retention over guessing.

Stop hunting through notes the night before the exam

Calculus lives or dies on recall: the right rule, its conditions, and what each variable means. Scattered study materials make that harder than it needs to be.

The usual mess

  • Formula sheets spread across PDFs, photos of the whiteboard, and three notebooks
  • A formula with no conditions — so you apply it where it doesn't hold
  • Cheat-sheet sites that need Wi-Fi right when the library doesn't have it
  • Rereading a formula list and calling it "studying" — with no way to test recall

The CalcRef way

  • 100+ formulas organized into 8 curriculum topics, searchable as you type
  • Every formula ships with LaTeX notation, a plain-language description, conditions for use, and variable definitions
  • Everything works offline — formulas, tables, quizzes, and tools
  • Flashcard quizzes with scores, per-topic stats, and history to prove you actually know it

Eight topics. The whole calculus sequence.

From the first limit to polar curves, CalcRef's formula library follows the order you learn it — through AP Calculus AB/BC and the college Calc I–III sequence.

  • 1 Limits and Continuity
  • 2 Derivatives
  • 3 Applications of Derivatives
  • 4 Integrals
  • 5 Techniques of Integration
  • 6 Applications of Integrals
  • 7 Sequences and Series
  • 8 Parametric, Polar, and Vectors

A reference, a drill coach, and a toolbox

Everything below comes straight from the app — no fluff, no accounts, no connection required.

100+ formulas, fully explained

Each formula is LaTeX-rendered with a plain-language description, its conditions for use, and definitions for every variable. Computational formulas include a built-in calculator with step-by-step solutions.

Read: derivative rules explained →

Six instant reference tables

Derivative Rules, Integral Formulas, Trigonometric Identities, Convergence Tests, Maclaurin Series with convergence intervals, and the full Unit Circle in degrees and radians.

Read: choosing a convergence test →

Flashcard quizzes with stats

Rounds of 10 cards from one topic or a mix of all eight. Flip, mark correct or missed, review your score — and watch per-topic stats and quiz history improve over time.

Read: how to memorize formulas →

Unit converter, 16 categories

Length, area, volume, mass, force, pressure, temperature, energy, power, velocity, acceleration, density, viscosity, torque, flow rate, and angle — reachable from any screen.

Mathematical constants

A database of precise values for pi, e, the golden ratio, and more — searchable alongside the formulas.

Built for how you study

Bookmark formulas to Favorites, search as you type, keep a calculation history, create custom formulas, pick dark or light theme, and set decimal precision or scientific notation.

Read: AP calculus formula review →

Where it fits in a student's week

CalcRef is a reference and practice tool — here is what that looks like in real study situations.

AP Calculus prep

The AP exam gives you no formula sheet, so recall is the whole game. Drill one topic at a time with 10-card quiz rounds, then check per-topic stats to see which of the eight topics still needs work before test day.

College exam week

Convergence tests, Maclaurin expansions, integration techniques — the six reference tables put the exact statements and their conditions one search away, even in a basement library with no signal.

Homework nights

Look up a formula with its variable definitions instead of guessing, run computational formulas through the built-in calculator with step-by-step solutions, and bookmark the ones your course leans on.

Frequently asked questions

Straight answers, taken directly from what the app actually does.

Yes. CalcRef is listed as a free download on both the App Store and Google Play.

Yes. CalcRef is built as an offline app — every formula, table, and practice tool is available without an internet connection.

Over 100 formulas across 8 topics: Limits and Continuity, Derivatives, Applications of Derivatives, Integrals, Techniques of Integration, Applications of Integrals, Sequences and Series, and Parametric, Polar, and Vectors.

Every formula includes LaTeX-rendered notation, a plain-language description, conditions for use, and variable definitions. Computational formulas also include a built-in calculator with step-by-step solutions.

You can test yourself with flashcard-style quizzes — 10 cards per round from a chosen topic or a mix of all topics. Mark each card correct or missed, review your score, and track progress with per-topic stats and quiz history.

Yes. You can create and save your own custom formulas, and bookmark any formula to Favorites for quick access. Search finds any formula or constant as you type.

CalcRef is a universal iOS app for iPhone and iPad requiring iOS 15.1 or later, and it is also available for Android on Google Play.

Put the whole calculus reference in your pocket

Free, offline, and organized the way your course is. Download CalcRef and stop losing points to a forgotten condition.