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Scientific Calculator: Expressions, Trigonometry, Matrix, Complex Numbers, Solver, Statistics and Calculus

Most browser calculators quietly run your input through JavaScript’s own eval() function, which is fine until it isn’t, since that same function can be tricked into running things it shouldn’t and it also handles operator precedence in ways that don’t always match what a real scientific calculator should do. This scientific calculator online was built the other way round, a proper tokenizer reads your expression and a hand-written parser evaluates it with the actual mathematical rules, powers first and right-to-left, so two to the power three to the power two correctly comes out to five hundred and twelve, not sixty-four, then multiplication and division, then addition and subtraction, exactly the way your written formula reads. Beyond the everyday keypad, five advanced modes sit in a plain dropdown right underneath the calculator itself, a matrix calculator and vector operations, a complex number calculator in both rectangular and polar form, an equation and polynomial solver, statistics with regression, and numerical calculus. Nothing here needs a separate site or a page reload and on a phone the keypad and display stay pinned in place while you work, they never scroll off or vanish mid-calculation.

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How to Use

Step 1: Set your angle mode first

• Before doing any trigonometry, check the DEG / RAD / GRAD badge on the display and tap to switch if needed. This one setting changes what sin, cos, and tan actually mean, a sine of thirty means something completely different in radians then in degrees, and it’s the single most common source of a “wrong” answer on any scientific calculator, not just this one.

Step 2: Type or tap your expression

• Use the on-screen keypad, or just type directly on your keyboard, full keyboard input works throughout. Enter your expression the way it’s actually written, 2^3^2, sin(30), sqrt(2)+log(100), whatever the problem gives you, and press = or Enter to evaluate.
• Use parentheses freely whenever your unsure how something will be grouped, the parser follows standard precedence correctly, but parentheses never hurt and they make your own intent clear too.
• For a custom log base, other then base 10 or natural log, there’s a dedicated log-base input, type your base and your value and it works out log base anything for you.
• Use nth root, factorial and reciprocal the same way, tap the key or type the function name directly.

Step 3: Use memory for multi-step work

• Tap M+ to add the current result to memory, M− to subtract it, MR to recall whatever’s stored and MC to clear it out. Handy for anything where you need to build up a running total across several separate calculations.

Step 4: Check your history

• Your last several results stay visible side by side in the session history, so you can compare a couple of answers without having to redo the earlier one. This resets when you leave the page though, nothing here is saved permanently.

Step 5: Open an advanced mode, if you need one

• Scroll down to the plain dropdown menu underneath the main calculator and pick whichever mode you need: Complex numbers, Matrix & vector, Equation solver, Statistics or Derivative & integral. The extra tool opens right there in place, nothing pops up in a new window or takes you to a different page.

Using Complex numbers mode

• Pick your entry form, rectangular (a + bi) or polar (r∠θ).
• Pick your operation from the dropdown, add, subtract, multiply, divide and more.
• Enter your values and calculate, results include modulus and argument alongside the plain answer.

Using Matrix & vector mode

• Pick your operation: addition, multiplication, determinant, inverse, or transpose for matrices up to four by four or dot product, cross product, and magnitude for vectors.
• Fill in your matrix or vector values in the grid that appears and calculate. Remember matrix multiplication is order-sensitive, A times B isn’t the same as B times A, so enter them in the order your actual problem states.

Using Equation solver mode

• Choose what your solving: a numeric root near a guess value, polynomial roots up to the fourth degree, or simultaneous linear equations in two or three unknowns.
• For polynomial roots, fill in the coefficient in front of each power, highest power first, complex roots show up as a plus or minus bi automatically where they occur.
• Enter your values and calculate.

Using Statistics mode

• Enter your data set, and get mean, standard deviation and other descriptive statistics together, plus linear regression if you’ve got paired x-y data.

Using Derivative & integral mode

• Type any expression in x, pick the point (for a derivative) or the range (for an integral) and calculate. The derivative uses a five-point numerical method and the integral uses Simpson’s rule, both are numerical approximations, not symbolic calculus.

Step 6: Use the constant library

• Search the built-in, categorised constant library for anything you need, π, e, Avogadro’s number and plenty more and insert it straight into your expression.

Step 7: Try random numbers or export

• Use the built-in random number generator if your problem needs one.
• Use Print / PDF for a clean printable copy or Copy to paste your result elsewhere.

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Key Features

• Purpose-written expression parser, no eval(), keeping evaluation predictable, correct and safe, rather then handing your input straight to the browser’s own JavaScript engine
• Correct operator precedence, right-associative powers, proper unary-minus binding and everything else matching how a real scientific calculator and mathematics itself, actually works
• DEG / RAD / GRAD angle modes from one switch, applied consistently across every trig function and it’s inverse
• Arbitrary log base, not just base 10 and natural log
• Five advanced modes in one place: Complex numbers (rectangular and polar), Matrix & vector (up to 4×4, plus dot/cross product), Equation solver (numeric, polynomial to 4th degree, simultaneous linear systems), Statistics with regression, and numerical Derivative & integral
• Mobile-first, pinned layout, the keypad and display stay fixed on screen while you work, nothing scrolls away or has to be hunted for
• Session history, memory keys and a searchable constant library, plus full keyboard input support throughout

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Formula / Logic Used

Operator Precedence

Powers first, right-associative: 2^3^2 = 2^(3^2) = 2^9 = 512, not (2^3)^2 = 64
Then multiplication and division, left to right
Then addition and subtraction, left to right
Unary minus binds looser than power: -2^2 = -(2^2) = -4, not (-2)^2 = 4

Angle Mode Conversion

$$Degrees = Radians \times \frac{180}{\pi}, \qquad Gradians = Radians \times \frac{200}{\pi}$$

Custom Log Base

$$\log_b(x) = \frac{\ln x}{\ln b}$$

Polynomial Roots

Solved numerically using the Durand-Kerner method, which finds all roots of a polynomial, including complex ones, simultaneously through iterative refinement.

Simultaneous Linear Equations

Solved using Gaussian elimination with partial pivoting, for genuinely stable results even when the system is close to ill-conditioned.

Numerical Derivative

$$f'(x) \approx \frac{-f(x+2h) + 8f(x+h) – 8f(x-h) + f(x-2h)}{12h}$$

A five-point central difference formula, noticeably more accurate then a plain two-point estimate.

Numerical Integral

Solved using Simpson’s rule, approximating the area under the curve with parabolic segments rather then straight lines, for better accuracy then a simple trapezoidal method.

Engineering Notation

Results can display in normal, scientific or engineering notation, where the exponent is always kept a multiple of three, matching the usual k, M, µ style unit prefixes engineers actually use.

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Who Should Use This Tool

Students and engineers who need trigonometry, logarithms, matrix and complex number work, equation solving, statistics or basic numerical calculus without switching between five different single-purpose calculator sites. Also useful for anyone who wants a mobile-friendly calculator that doesn’t scroll it’s own keypad off screen mid-calculation.

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Frequently Asked Questions (FAQs)

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