Inspectable methods
Every lab states its method and limitations instead of presenting a black-box answer.
RESEARCH & SIMULATION LABS
Advanced calculation workspaces that keep the method visible.
Use focused labs for symbolic algebra, numerical differential equations, linear programming, DC circuit analysis, and statistical inference. Each workspace makes scope, assumptions, and numerical limitations clear.AVAILABLE LABS
Choose a method before choosing more controls.
Each workspace is separate so the main result, assumptions, and next step stay easy to find on desktop and mobile.dy/dxOpen →∂Open →maxOpen →ΩOpen →tOpen →
Differential Equations Lab
Model first-order ODEs and two-state systems with controlled initial conditions, step sizes, solution curves, phase plots, and numerical tables.
First-order ODEs: y′ = f(x, y) · Two-state systems: y′ and z′ · Euler, Improved Euler (Heun), and RK4Symbolic Algebra Lab
Simplify and differentiate expressions, evaluate a model at a chosen value, or compare two forms with a clearly labeled algebra-engine result.
Symbolic simplification · Symbolic derivative · Numeric evaluationOptimization Lab
Build a two-variable linear programming model, enter objective coefficients and constraints, inspect feasible corner points, and compare objective values to find a maximum or minimum result.
Objective function input for x and y coefficients · Up to eight linear constraints with ≤, ≥, or = operators · Maximize or minimize objective valueDC Circuit Analysis Lab
Calculate ideal DC resistor circuits with Ohm's law, resistor networks, voltage dividers, RC charge or discharge, and a two-node nodal-analysis solver that explains conductance matrices and current injections.
Ohm's law with voltage, current, resistance, and power context · Series and parallel resistor-network calculations · Voltage divider formula using top and bottom resistorsAdvanced Statistics Lab
Use an inference-focused statistics workspace for t-tests, correlation, simple regression, and one-way ANOVA with visible assumptions.
Two-sided p values · Confidence interval for a sample mean · Welch unequal-variance t-testFocused workspaces
Research tasks need dedicated inputs, results, tables, and charts rather than a crowded one-size-fits-all calculator.
Connected analysis
Move naturally between graphing, matrices, statistics, units, and numerical models when a problem needs more than one view.
METHOD GUIDES
Read the method before interpreting the output.
GUIDEEngineering unit conversionUnderstand engineering conversions for pressure, force, torque, energy, power, density, frequency, and scientific notation values.Read →GUIDEEuler method for differential equationsUse a fixed step and local slope to estimate a first-order initial value problem.Read →GUIDERunge-Kutta RK4 methodUnderstand four-slope RK4 updates for numerical ordinary differential equations.Read →GUIDESymbolic algebra simplification and differentiationUnderstand what a symbolic algebra engine can simplify, differentiate, and compare.Read →GUIDEGraphical method for two-variable linear programmingBuild constraints, identify feasible corner points, and test an objective function.Read →GUIDETwo-node nodal analysisSet up KCL equations, conductance terms, coefficient matrices, node voltages, and branch currents for a two-node resistor circuit.Read →
COMMON QUESTIONS
Using numerical and research calculators
Are the research-lab results exact?
Some symbolic operations return algebra-engine results, while differential equations, optimization, circuit models, and statistical procedures may be numerical or assumption-dependent. Each lab explains its scope.
Which differential-equation methods are available?
The Differential Equations Lab includes Euler, Improved Euler (Heun), and classical Runge–Kutta 4 for fixed-step first-order problems and small two-state systems.
Can these tools replace specialist research software?
No. They are focused educational and exploratory workspaces. Validate important results with theory, data checks, domain review, and appropriate specialist software.
CONNECTED FOUNDATIONS