Mathematics with PocketCAS Pro vs GraphMath

PocketCAS is a graphing calculator and computer algebra system for iPhone and iPad. It graphs your functions, gives exact answers and shows the steps behind derivatives and integrals. Everything runs on your device, so it works without internet or an account, and you buy it once instead of paying for a subscription. Graphs - 2D plots of functions, implicit equations, polar and parametric curves, run charts and vector fields. PocketCAS marks zeros, extrema and intersections. In full screen, tap a mark to read its coordinates. - 3D surfaces and space curves with soft light and shading. Drag to turn them, pinch to zoom, add a floor grid or pick another color map. - Animated plots: use the variable anim in any plot. Suggestions and steps - Under each function, suggestions show what to look at next: its derivative, zeros, extrema, integral or a plot. The answer is already in the suggestion. Tap it to add it to your document. - Functions get a small plot right beside the result. - Calculation steps show the rules behind a derivative, an integral, a differential equation or an extremum, one row per rule. Exact answers - Algebra: solve equations and systems, simplify, expand and factor expressions, divide polynomials. - Calculus: limits, derivatives, integrals, Taylor series and sums. - Linear algebra: matrices, determinants, inverses, eigenvalues and eigenvectors. - Differential equations: ordinary differential equations, solved exactly. - Units and constants: enter physical formulas with units and convert the results. - Scripts: define your own functions with conditions, loops and recursion. Reads like your textbook - Results look the way they do in a textbook: fractions, roots, sums, integrals and matrices. Long results wrap to the width of your screen. - A math keyboard with every function in reach. Your recent functions sit above it, and a hint shows what goes between the brackets. Made for daily work - Documents keep your calculations and plots together, so you can pick up where you left off. - iCloud syncs your documents between iPhone, iPad and Mac. The Mac app is a separate purchase. - Export: print or share plots, entries or whole documents as PDF. - Import: reuse functions from other documents, or load data from CSV files. - Help built in: the reference explains every function with examples, and tutorials get you started. A free version, PocketCAS Lite, lets you try the interface and many features first. What users say "This program has an incredible amount of power for such a compact program. I teach high school math, and this program can work with all sorts of expressions, graphs, and help check my work. Definitely worth it!" "One of three Apps I use when teaching A Level maths. Have recommended to numerous students. Excellent." "This app is amazing and could help me with about 98% of the math that I had to do during my mechanical engineering degree all the way from my bachelor to my master." Questions or ideas? Write to us at https://pocketcas.com/support.

This graphing calculator is user friendly and powerful.  It is fully compatible with iOS 14 and 15, and mostly compatible with iOS 13 and Mac OS. Cartesian 3D Z = F (X, Y) functions:  ——————————————————— Graphs can be:  1. Drawn as surface, lines, or dots. 2. Drawn with or without perspective, and with different light and reflection settings. 3. Tilted up or down. 4. Rotated to any position. 5. Drawing is animated by either X, Y, or Z. Table of all points can be sorted by either X or Y. Cylindrical 3D Z = F (Θ, R) functions:  ——————————————————— Graphs can be:  1. Drawn as surface, lines, or dots. 2. Drawn with or without perspective, and with different light and reflection settings. 3. Tilted up or down. 4. Rotated to any position. 5. Drawing is animated by Θ, R, or Z. Table of all points can be sorted by either Θ or R. Spherical 3D R = F (Θ, Φ) functions:  ——————————————————— Graphs can be:  1. Drawn as surface, lines, or dots. 2. Drawn with or without perspective, and with different light and reflection settings. 3. Tilted up or down. 4. Rotated to any position. 5. Drawing is animated by either Θ or Φ. Table of all points can be sorted by Θ, Φ, or R. Cartesian 2D Y = F (X) functions:  ———————————————— Graph displays the following curves: 1. One or two Y = F (X) functions. 2. Derivative of the first function. 3. Integral of the first function as a shade and a curve.  Graph features:  1. Drawing is animated by X. 2. Clicking on the curves shows curve values, and finds closest point in the table. Tables: 1.  All function, integral, and derivative values. 2.  Zero intersections of first function. 3.  Intersections between first and second functions. Polar 2D R = F (Θ) functions: ———————————————  Graph displays the following curves: 1. One or two R = F (Θ) functions. 2. Integral of the first function as a shade and a curve. Graph features:  1. Drawing is animated by Θ.  2. Clicking on the curves shows curve values, and finds closest point in the table. Tables: 1.  Table of all function and integral values  2.  Table of zero intersections of first function. 3.  Table of intersections between first and second functions. Parametric 2D X = F1 (T), Y = F2 (T) functions: —————————————————————————  Graph features:  1. Drawing is animated by T.  2. Clicking on the curves shows T, X, and Y values, and finds them in the table. Table of all points. F (X, Y) = 0  equations: ———————————— Graph displays solutions as points. Clicking on the points shows X, and Y values, and finds them in the table. Table of all points. Common features: —————————— 1. List of previous entries. 2. List of preset entries. 3. Undo and redo buttons for formula entries. 4. Automatic correction of errors in function limits or steps are offered. 5. All function points can be saved to clipboard in a table format. 6. All function points can be displayed on corresponding graphs. 7. Control colors can be changed to black and white. 8. Link to Vectors and Planes 3D Geometry Guide App. 9. Link to Matrix Calculator Step by Step App. Common features of all images:  1. Animation frames can be frozen and moved back or forward. 2. Animation speed can be adjusted. 3. Zoom. 4. Scroll. 5. Save to Clipboard. 6. Save to Photos 7. Color picker. New functions and further UI improvements for our apps are coming! Developers hope to get feedback at graphmath@aol.com.