CalMo: Calculator & Equations

CalMo is a scientific calculator, equation solver, graphing calculator, calculus tool and physics calculator with units that gives you exact answers - not just decimals. EXACT ANSWERS Type sin 60 degrees and CalMo shows sqrt(3)/2. Results appear as fractions, square roots and multiples of pi whenever they have a simple exact form (1/3, 2 - sqrt(3), pi/6), next to the decimal value. SCIENTIFIC CALCULATOR - sin, cos, tan, ln, log, square root, powers, factorial, pi and e, in degrees or radians - 2nd functions: inverse trig, e^x, 10^x, x^2 and the y-th root - Ans key: reuse the previous answer at full precision, or any earlier result from History - Live preview of the result as you type EQUATION SOLVER - Quadratic and cubic equations: all real and complex roots, exact when possible (1 +/- sqrt(2)), with a plot - Inequalities, shaded on the plot - Linear systems 2x2 and 3x3, solved exactly with fractions, with a 3D view of the three planes - Trigonometric equations with the general solution (x = 30 + 360n degrees) - Exponential and logarithmic equations with steps - Any equation f(x) = g(x): every solution in a range, with both sides plotted COMPLEX NUMBERS (OPTIONAL) Switch them on in About: sqrt(-1) = i, results as a + bi or in polar form, exact when possible, drawn in the complex plane. The C next to DEG gives i, polar entry, conj, |z|, arg, Re and Im. GRAPH - Up to four curves: functions, polar curves r = f(theta) and parametric curves x(t), y(t) - Sliders for parameters: type a sin(bx + c) and move a, b and c, or press play to animate them - Derivative curves, tangent lines and shaded areas, exact when possible - Drag, pinch to zoom, press and hold to trace - Zeros, minima, maxima and intersections, with exact values such as x = pi/2 - A grid, an editable window and a table of values CALCULUS - Derivatives in textbook form, with the tangent line at a point - Definite integrals, including infinite bounds: the integral of 4/(1 + x^2) from 0 to 1 is exactly pi - Limits from either side, at a point or at infinity - Taylor polynomials and sums of series, such as 1 + 1/4 + 1/9 + ... = pi^2/6 PHYSICS AND CHEMISTRY - Calculate with units: 70 kg x 9.81 m/s^2 = 686.7 N, results simplified to J, N, W or Pa and converted to any unit (the rest energy of the electron in MeV); mismatched units (3 m + 2 s) are refused with the reason - 359 formulas in 28 books, from geometry, trigonometry, vectors and probability to motion, particle detectors, chemistry and lab bioscience, each with a labelled sketch: leave one value empty and it is calculated. Plot the result against time or any other variable, compare curves, and draw the trajectory of a projectile - A periodic table of the 118 elements and 65 common materials (density, resistivity, Young's modulus, refractive index...) to use in any calculation; molar masses of chemical formulas - See the data: colour the periodic table by melting point, density or electronegativity, plot ionisation energy or atomic radius against Z, rank the materials by any property, and compare them in Ashby charts (stiffness vs density, permittivity vs breakdown field) - A unit converter and about 80 physical constants (CODATA 2022) with their uncertainties BUILT FOR TYPING MATH Numbers go in with CalMo's own keypad; formulas get a row of math keys above the keyboard. On iPad the calculator has a large display. HINT ON EVERY SCREEN Press Hint on any tab: CalMo fills in a worked example and solves it. Press again for the next one. HISTORY Every result is kept in the History tab. Tap one to reuse it or reopen it where it came from. History syncs across your iPhone and iPad through your own iCloud. MAKE IT YOURS Eight colour schemes, from classic dark to Sunset, Sage, Lavender and Sky Blue. FREE Every feature is included, with no in-app purchases, no subscription and no ads. PRIVATE BY DESIGN No account, no ads, no tracking. CalMo works offline, and your data stays on your devices and in your own iCloud.