Calculus: Learn & Practice
Limits, Derivatives, Integrals
Free · In‑App Purchases · Designed for iPad. Not verified for macOS.
Watch calculus move. 51 interactive animations, 119 step-by-step worked examples and 428 auto-graded problems. Chapter 1 is free — no account, no subscription.
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
Ratings & Reviews
- This app hasn’t received enough ratings or reviews to display an overview.
• 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
The developer, 光浩 李, indicated that the app’s privacy practices may include handling of data as described below. For more information, see the developer’s privacy policy .
Data Not Linked to You
The following data may be collected but it is not linked to your identity:
- Identifiers
- Usage Data
Accessibility
The developer has not yet indicated which accessibility features this app supports. Learn More
Information
- Seller
- 光浩 李
- Size
- 10.4 MB
- Category
- Education
- Compatibility
Requires iOS 17.6 or later.
- iPhone
Requires iOS 17.6 or later. - iPad
Requires iPadOS 17.6 or later. - Mac
Requires macOS 14.6 or later and a Mac with Apple M1 chip or later. - Apple Vision
Requires visionOS 1.3 or later.
- iPhone
- Languages
English and 7 more
- English, Arabic, French, Hindi, Japanese, Portuguese, Simplified Chinese, Spanish
- Age Rating
4+
- 4+
- In-App Purchases
Yes
- Unlock All Chapters $9.99
- Copyright
- © 2026 李光浩