# Calculus: Learn & Practice — Limits, Derivatives, Integrals

> Limits, Derivatives, Integrals (iPhone/iPad app by 光浩 李.)

- Source: https://appshunter.io/ios/app/calculus-learn-and-practice/id6758305500 (this page in markdown: same URL + `.md`)
- Developer: [光浩 李](https://appshunter.io/developer/1576352133)
- Category: Education
- Price: Free with in-app purchases
- Age rating: 4+
- Requires: iOS 17.6 · 29 MB
- Languages: Chinese (Simplified, China), Hindi, Japanese, French (France), American English, Brazilian Portuguese, European Spanish, Arabic
- Released: 2026-04-27
- Data updated: 2026-10-07
- User reviews in markdown: https://appshunter.io/ios/app/calculus-learn-and-practice/id6758305500/reviews.md

## What is Calculus?

Calculus you can see is calculus you can learn.

Calculus: Learn & Practice turns a full first-year calculus course into one clear path: build intuition with an interactive animation, follow a worked example step by step, then prove to yourself you've got it with instantly graded practice.

WHAT'S INSIDE
• 51 interactive concept animations — play, scrub and watch the key change happen instead of imagining it
• 119 worked examples with complete solutions, visual hints and the mistakes students usually make
• 428 practice problems graded the moment you submit, each with a full solution
• Math-history stories with the original problems: Zeno's paradoxes, Archimedes' π, Fermat and Descartes' fight over tangents
• Mistake tracking and mastery per concept, so you know exactly what to review
• Spaced review that brings a topic back right before you'd forget it
• A searchable library of 9 chapters, filterable by topic, tag and difficulty

TOPICS COVERED
• Limits and continuity
• Derivatives and differentials
• Applications of derivatives — optimization, related rates, MVT, curve sketching, L'Hôpital's rule, Taylor polynomials
• Integrals — FTC, substitution, integration by parts, partial fractions, improper integrals
• Applications of integration — area, volume, arc length, work
• Differential equations
• Infinite series — convergence tests, power series, Taylor series
• Multivariable differential calculus — partial derivatives, gradient, tangent planes, Lagrange multipliers
• Multiple integrals — double and triple integrals

Great for Calculus I and II, AP Calculus AB/BC review, and exam prep.

Not covered, so you can decide before you buy: vector calculus (line and surface integrals).

TRY IT FIRST
Chapter 1 is completely free — animations, examples and practice all work, no time limit and no account. If you like it, one purchase unlocks every chapter forever. No subscription, no ads. Buy once, use on iPhone, iPad and Mac.

Your progress stays on your device. Purchases are handled securely by Apple and can be restored anytime.

Every lesson, example and problem is available in English, Spanish, French, Portuguese, Japanese, Arabic, Hindi and Chinese.

Privacy: https://vaca.vip/advancedmathematics/en/privacy
Support: https://vaca.vip/advancedmathematics/en/support

## Pricing and in-app purchases

Base price: Free.

**One-time purchases**

| Purchase | Price | Type |
| --- | --- | --- |
| 解锁全部章节 | $9.99 | one-time |



## Version history (last 5 releases)

### 1.3.0 — 2026-10-05

• New Lab: hands-on concept experiments (play → definition → proof), a Daily Challenge and a Function Lab
• New Calculator: textbook-style 2D input with six apps — Compute, Graph, Table, Matrix, Statistics & Regression, Units — and exact results
• More reliable price loading on the unlock screen

### 1.2.8 — 2026-09-28

• Lessons now in 8 languages: English, Spanish, French, Portuguese, Japanese, Arabic, Hindi and Chinese
• Polished English lessons: clearer wording and 20+ corrected solution details
• One purchase works on iPhone, iPad and Mac

### 1.2.6 — 2026-09-26

• 全新解锁页：动画演示泰勒级数一项项逼近 sin x，9 章内容一目了然
• 例题改为「先想再看」：解题步骤逐条揭晓，看完直接练一道同知识点的题
• 修订 4 道极限例题的步骤细节（定义域条件、夹逼前提、最终数值与单位）
• iPad 原生大屏布局；界面新增英语、日语、法语、西班牙语、葡萄牙语、阿拉伯语、印地语
• 现已支持 Mac：一次购买，iPhone、iPad、Mac 通用

### 1.2.5 — 2026-09-26

• 新增「高数背后的故事」：芝诺的乌龟、阿基米德夹住 π、贝克莱嘲讽无穷小、处处不可导的「怪物」、dy/dx 的记号之争……每个故事一分钟，讲清这一节到底在解决什么问题
• 新增 6 道数学史原题：算一算阿基里斯在哪追上乌龟、用刘徽割圆术求 π、接下笛卡尔给费马的挑战题
• 故事全部免费阅读，史实均核对过出处

### 1.2.4 — 2026-09-24

• 做题不再「一错就结束」：答错会指出可能错在哪（符号、链式法则、上下限等）并自动给出提示，每题有 3 次机会，也可随时直接看解析
• 近似值也能判对：像 ln2/3 这类答案写 0.231 即可，同时告诉你精确形式
• 答对有反馈：连对计数、概念掌握度实时上涨；做完可以直接点「下一题」
• 动画全面升级：曲线一笔笔画出、面积逐步扫出、场景播完自动接下一段，并修正了多处数学细节
• 未解锁章节可以先试看动画，并直接看到解锁后这一节有多少讲解、例题和练习
• 答题时系统键盘可以用「完成」收起；提示改为按钮，一点即看

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All apps by 光浩 李: https://appshunter.io/developer/1576352133

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*Data collected daily from the US App Store and indexed by [AppsHunter](https://appshunter.io/). User reviews are verbatim App Store reviews. Ratings, prices and chart positions refresh continuously; this snapshot is from 2026-10-07.*