Features

See what MathSheet does.

Each section below shows a real worksheet. Click any picture to see it full size.

A · Natural math worksheets

Write it once. Read it like a hand calculation.

Definitions use :=, results use =. Fractions, roots, subscripts, Greek letters and matrices look the way they do on paper - and the units come along.

Units in every line

SI, US and CGS units with prefixes from pico to tera
Show any result in the unit you want: N, kN or lbf
Mixed units add up correctly: 2 m + 30 cm = 2.3 m
°C, °F and decibels (dB, dBm, dBV)
Your own units and your own functions
A unit mistake turns the line red and says why

Better than a calculator or spreadsheet because…

the equation, its inputs and its answer are all visible, in order, with units. Anyone can check the sheet - including you, six months later.

MathSheet worksheet: force from mass and acceleration 735.75 N, the same force in kN and lbf, lengths in m, cm and inches added together — Units are converted and checked automatically.

MathSheet program inside a definition: a current limiter with if and otherwise, and a power loss calculation in steps giving 7.884 W — Small programs inside a definition: if / otherwise, loops, local names.

MathSheet matrices: a 2 by 2 system solved with the inverse, determinant 5, transpose and matrix product — Vectors and matrices: inverse, determinant, transpose, products.

B · Engineering graphs

Plots that live next to the math.

Every graph is drawn from the equations above it and redraws when they change. Zoom, trace with a cursor, and add markers.

Bode plots with crossover and phase margin

Type the transfer function in s. MathSheet draws gain and phase against a log frequency axis, finds where the gain crosses 0 dB, and labels the crossover frequency and phase margin.

Example: buck converter, voltage mode, Type III compensator - crossover 33.65 kHz, phase margin 55.9°.

MathSheet Bode plot of a converter loop gain with gain and phase traces and a label reading fc = 33.65 kHz, PM = 55.9 degrees — Loop gain of a buck converter: gain and phase, crossover and phase margin.

MathSheet X-Y plot: measured filter gains as points against the theoretical curve, with markers at the corner frequency and -3 dB — X-Y plot with two traces: measured points against the theory, with markers.

MathSheet RC low-pass filter worked out at its corner frequency with a Bode plot — An RC filter checked by hand at its corner: 0.707, -3.01 dB, -45°.

MathSheet 3D surface plots of sin(x) + cos(y) and of a saddle — 3D surface plots - drag to turn them.

MathSheet contour map of temperature in a plate with heat-flow arrows on top — Contour map with a vector field: heat flow in a plate.

Also: polar plots, parametric curves, 3D bars, points and curves in space, animation saved as a video.

C · Solving and analysis

Worked examples, solved on the page.

Roots, systems of equations, best designs, matrix unknowns and complex numbers - each with units where they belong.

Solve block

Where does a diode settle from 5 V?

The problem: A diode (I_s = 1 pA, V_T = 25 mV) and a 1 kΩ resistor across 5 V. The diode equation is exponential, so there is no simple formula.
In MathSheet: Give a guess, write both equations under Given with a bold equals, then Find(V_D, I_D).
The result: V_D = 0.555 V, I_D = 4.445 mA - units included.

MathSheet solve block for a diode and resistor from 5 V giving 0.555 V and 4.445 mA

Optimization

The 1-liter can that uses the least metal

The problem: Find the radius and height of a closed can holding 1 liter with the smallest surface area.
In MathSheet: Write the area A(r, h), put the volume condition under Given, then Minimize(A, r, h).
The result: r = 5.419 cm, h = 10.839 cm, A = 553.581 cm² - the best can is as tall as it is wide.

MathSheet Minimize with a volume condition giving radius 5.419 cm, height 10.839 cm and area 553.581 square cm

Matrix unknowns

The Riccati equation for state feedback

The problem: For x′ = A·x + B·u, find the matrix P that solves A^TP + PA − PBB^TP + Q = 0, and the feedback gain K.
In MathSheet: A whole matrix can be the unknown: guess P as an identity matrix, write the equation under Given, Find(P).
The result: P = [1.732 1; 1 0.732] (that is √3 and √3 − 1), K = (1, 0.732).

MathSheet solve block with a matrix unknown P solving the Riccati equation, giving P and the feedback gain K

Root with units

When does the capacitor reach 5 V?

The problem: A 1 kΩ / 1 µF circuit charges toward 10 V. When does it reach 5 V?
In MathSheet: root(V_C(t) − 5 V, t, 0 s, 5 ms) searches between 0 and 5 ms.
The result: t₁ = 0.693 ms, matching the hand formula R·C·ln 2.

MathSheet root function finding the time 0.693 ms when an RC charging voltage reaches 5 V, checked against R C ln 2

More solving tools

polyroots: every root of a polynomial
Minerr: the closest fit when there is no exact answer (least squares)
Conditions such as x > 0 or 1 ≤ x ≤ 3 inside a solve block
A solve block used as a function, for example over a range of inputs
Complex answers from a complex guess

Symbolic math

Answers as formulas, not just numbers.

Expand, factor, simplify, solve for a name, series, partial fractions, limits, and Laplace, Fourier and z-transforms. The answer goes on the next line as an ordinary equation you can use.

MathSheet symbolic results: expand, factor and simplify, and solving equations for a name — Expand, factor, simplify and solve for a name.

MathSheet solving two mesh-current equations as formulas in R1, R2, R3 and V — Two mesh currents solved as formulas.

D · Excel

MathSheet → Excel workbook → live chart.

Share your design with people who live in Excel. File › Save as Excel workbook writes an .xlsx with live formulas and real charts - no copying by hand.

1. The worksheet

Buck converter loop gain in MathSheet.

The same calculation in a spreadsheet (LibreOffice Calc, formulas shown): one row per value with names such as V_in and R_comp, and live formulas for the crossover, the phase margin and the Bode rows

2. The workbook

Every value is a named cell; results are live formulas (LibreOffice Calc shown).

The chart drawn from the workbook by LibreOffice Calc: loop gain in dB against frequency from 10 Hz to 1 MHz

3. The chart

The spreadsheet draws the Bode plot from the live rows. In Excel its title also shows the crossover and phase margin.

Why it matters: change R_comp in Excel and the formulas, chart, crossover and phase margin all update. A colleague can use Goal Seek on your design without owning MathSheet. Pictures 2 and 3 were made in LibreOffice Calc from a workbook saved by MathSheet; the same file opens in Microsoft Excel.

Also: Copy sheet for Excel (Ctrl+Shift+E) puts the sheet on the clipboard to paste into any spreadsheet. Some results, such as solve blocks and programs, are copied as values.

E · Import

Bring your .xmcd worksheets with you.

File › Import worksheet (.xmcd) opens worksheets saved in the .xmcd format and rebuilds them as live MathSheet worksheets. A report at the top lists what came in and compares the answers saved in the file with MathSheet's own.

The plot pictures stored inside the original .xmcd file: gain and phase of an RC filter — The plots as stored in the .xmcd file (pictures only).

The same plots rebuilt by MathSheet as live plots of Gain(i) and Phase(i) against f(i) — After import: live MathSheet plots, rebuilt from the names they use.

The MathSheet import report: 16 regions came in, 3 of 3 plots live, 2 of 2 saved answers the same — The import report for this test file: 3 of 3 plots live, 2 of 2 answers the same.

What comes across

Equations, definitions and units
Text, programs, matrices, ranges, sums
X-Y plots rebuilt live (the original picture is kept beside each for comparison)
Anything it cannot rebuild stays as a picture with a note

Good to know

Only the .xmcd format is supported - not .xmcdz, .mcdx or the older binary .mcd. The original file is never changed. Check the report on every imported sheet: some programs evaluate a few things differently, and the report points to each line that needs a look.

MathSheet is an independent product of Sheetwise Engineering LLC. It reads .xmcd files but is not affiliated with, endorsed by or sponsored by the maker of any other worksheet software.

F · Technical documentation

From calculation to report

The worksheet you calculate in is already the report: headings, explanatory text, equations, graphs and results, laid out on pages.

Page setup, page breaks, headers and footers
Print Preview, print, and save as PDF
Save for Word (.docx) and save as a web page
Text styles, spelling check, equations inside text

MathSheet Print Preview of a worksheet as a printed page — Print Preview of a worksheet.

G · Learning and help

Help that teaches, not just lists.

For experienced engineers who want answers fast, and for engineers still building their math skills.

The MathSheet Help window open at Bode plots, with the topic list, an explanation and an example sheet with what you learn, the keys and what to look for — Help topics with example sheets: what you learn, which keys to press, what to look for.

MathSheet explaining an error: the units do not match, what it means, likely causes, how to fix it and a working example — **Explain this error**: right-click a red line for causes, fixes and a working example.

Lessons

Short lessons for each feature, in learning paths from basics to advanced.

Example sheets

More than 80 worked example and training sheets, grouped by subject.

User manual

A full manual written as a course, opened from Help as a PDF.

System requirements

Operating system	Windows 10 or Windows 11, 64-bit
Also needed	Microsoft Edge WebView2 Runtime (part of Windows 10 and 11)
Installation	Installs for your Windows user account
Internet	Not needed to work. Needed once to activate a license key; see activation
Current version	1.41

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