Type mathematics as you write it
• 2x, 3(x + 1), sin x, sin^2 x, |x|, x = 2 and e are read as meant, and an open bracket is closed for you.
• Text that cannot be read is explained in plain words, and stays in its field so you can fix it.
New in the menus
• Differentiate, Integrate, Solve for and Substitute in the Transform menu, each asking for its variable.
• The palette: fractions, roots, integrals, sums, limits and matrices as buttons, at the caret or around the selection.
• After you pick an action, the screen scrolls back to the formula so you see the result.
A tidier menu (≡)
• New session… at the top.
• Sessions, Add-ons and File each open in a window of their own.
• Search your sessions by name or by the formula they hold, and search the add-ons.
• Everything you export — the formula, the history as Python, the history as a web page — can be saved to Files or shared with another app.
On the iPhone the formula comes first
• The session row stays at the top, the LaTeX and pen tools sit right above the formula, and the editing tools come under it.
• The edit tools are now icons; touch and hold any button to see what it does.
• The Python form of the formula is coloured, shows matching brackets, folds away when you don't need it, and has its own undo.
• The status line names the selected part in bold, with its Python form beside it.
Handwriting
• Erasing strokes and Clear ink are now steps that Undo and Redo walk through.
Twelve new add-ons (experimental)
Switch them on in ≡ → Add-ons: step-by-step solutions for integrals, derivatives and equations, Check my work, Export (LaTeX, MathML, Python, C, Fortran, JavaScript, Octave, Julia, Rust), Solve, Assumptions, Values at any precision, Series, Units, Linear algebra, Transforms (Laplace, Fourier, Mellin, Hankel, z), Forms (every simplification side by side) and Feynman diagrams, drawn as on paper. They are marked Experimental and start off.
Also
• Better support for the keyboard and VoiceOver: menus and windows behave as dialogs, and every button has a name.
• Nothing you type is lost while a computation is still running.
• Many smaller fixes.
As always, everything runs on your device: no account, no network, nothing leaves your iPhone or iPad.