MathScope vs Hanzi Learn

MathScope turns equations into graphs you can see and play with. Type a formula and its graph appears instantly; drag a slider and watch it change. From a textbook parabola to a Klein bottle, it all renders smoothly at your fingertips. Free to download: graph y = f(x) and implicit curves, plot 3D surfaces z = f(x, y), animate parameters with sliders, mark zeros and extrema, and explore part of the gallery at no cost. Upgrade to MathScope Pro when you want the full toolkit. 2D GRAPHING • One smart input box: y = x², x² + y² = 9, r = 2sin(3θ) and (cos 3t, sin 2t) are recognized automatically as explicit, implicit, polar or parametric • Overlay several functions, each with its own color and one-tap show/hide • Parameter sliders: write a, b or k in a formula and a slider appears; tap ▶ to animate it • Analysis tools: mark zeros, extrema and intersections; long-press a curve to trace coordinates and the tangent line; show the symbolic derivative f′(x); shade a definite integral with draggable bounds • A keyboard designed for math, so input is fast and accurate 3D SPACE • Surfaces z = f(x, y), implicit surfaces F(x, y, z) = 0, parametric surfaces and space curves • C++-accelerated Marching Cubes engine generates complex implicit surfaces in seconds • Cinematic rendering: physically based materials, environment reflections, bloom, 7 color maps, wireframe mesh and auto-rotate CURATED GALLERY 50+ classic and surprising shapes: cardioid, rose curves, butterfly curve, spirograph, Fourier square wave, Taylor expansions, Mexican hat, Möbius strip, Klein bottle, trefoil knot and more. Tap one to open, edit and animate it. FAVORITES & EXPORT Save the graphs you like, with history kept automatically, and export images to share with friends. MATHSCOPE PRO Unlocks parametric and polar curves, the full 3D space, intersections / derivative / integral tools, the entire gallery, all color maps and ultra-high-resolution meshes, 4K export without watermark, and unlimited functions and favorites. • Yearly (includes a 3-day free trial) and Monthly: auto-renewing subscriptions. Payment is charged to your Apple ID account. A subscription renews automatically unless auto-renew is turned off at least 24 hours before the end of the current period. Manage or cancel anytime in your App Store account settings. • Lifetime: a one-time purchase, yours to keep. Privacy Policy: https://vaca.vip/mathscope/privacy Terms of Use: https://www.apple.com/legal/internet-services/itunes/dev/stdeula/

Hanzi Learn — an interactive Chinese character learning app for families and beginners. Fully offline — no internet required! A Talking Dictionary & Wordbook All 9,564 characters come with clear explanations, and every word has its own meaning and example sentences. Look up characters, look up words, hear them spoken — a real reference tool you can grow with. Guess-the-Idiom Game Read the meaning, then tap the right characters to spell out the idiom! Stuck? Use a hint or read the idiom's origin story. Idioms & Favorites A curated collection of everyday idioms with simple definitions — save your favorites and review them anytime. 100 Classic Stories Classic fables, myths and history tales, narrated sentence by sentence — learn characters through stories. Stroke Order Animation Watch every stroke of every character drawn step by step. Trace & Write Practice Trace characters on screen with your finger. Smart recognition checks strokes as you write. Structured Curriculum Age-based lessons from first characters through early primary school. Review Games Three rotating quiz types that make review feel like play. Smart Search Search by pinyin (with or without tones), by handwriting, or directly by character. Polyphonic Character Support For characters with multiple pronunciations, each reading is shown with its own meaning and example words. Professional Audio Stroke names, characters and example sentences come with professional recordings. Peace of Mind for Parents No ads, no tracking, no accounts, fully offline. A parental gate protects every purchase, external link, rating prompt, and share action. The starter level is free forever; a single one-time purchase unlocks the full course for ages 5+.