CALCULATION GUIDES
Learn the method, then use the right tool.
Browse practical explanations, formulas, worked examples, and step-by-step workflows for algebra, graphing, engineering, statistics, finance, and numerical analysis.GUIDE TOPIC
Algebra & linear systems
Linear, quadratic, cubic, and system equations
Choose the right equation-solving method for one-variable equations and simultaneous linear systems.
Read guide →GUIDEPolynomial roots and complex roots
Find polynomial roots from coefficients and understand real roots, complex roots, and residual checks.
Read guide →GUIDEGaussian elimination for linear systems
Use row operations, pivots, REF, and back-substitution to solve systems with several unknown values.
Read guide →GUIDEMatrix inverse and determinant
Understand determinants, singular matrices, inverse conditions, and inverse-based system solutions.
Read guide →GUIDEMatrix methods for linear systems
Compare Gaussian elimination, RREF, inverse, rank, and Cramer’s rule for linear systems.
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Graphing & calculator workflows
Plot one, two, or multiple equations
Plot equations online, compare multiple functions, inspect tables, understand overlapping graphs, and estimate roots or intersections.
Read guide →GUIDETI-84 style online calculator workflows
Use independent online workflows for graphing equations, tables, trace values, roots, intersections, scientific calculations, matrices, statistics, and unit conversion.
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Engineering methods & units
Engineering notation vs scientific notation
Compare SCI and ENG notation, SI prefix powers, micro and nano values, and technical powers-of-ten conversions.
Read guide →GUIDEUnit conversion formulas
Convert units with base-unit formulas, metric prefixes, temperature formulas, speed, pressure, energy, torque, density, and data examples.
Read guide →GUIDEEngineering unit conversion
Understand engineering conversions for pressure, force, torque, energy, power, density, frequency, and scientific notation values.
Read guide →GUIDETwo-node nodal analysis
Set up KCL equations, conductance terms, coefficient matrices, node voltages, and branch currents for a two-node resistor circuit.
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Statistics & data analysis
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Numerical & research methods
Euler method for differential equations
Use a fixed step and local slope to estimate a first-order initial value problem.
Read guide →GUIDERunge-Kutta RK4 method
Understand four-slope RK4 updates for numerical ordinary differential equations.
Read guide →GUIDESymbolic algebra simplification and differentiation
Understand what a symbolic algebra engine can simplify, differentiate, and compare.
Read guide →GUIDEGraphical method for two-variable linear programming
Build constraints, identify feasible corner points, and test an objective function.
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Finance & percentage formulas
Percentage increase and decrease
Find percentage change from an original value to a new value.
Read guide →GUIDEProfit margin vs markup
Compare markup, profit margin, cost price, selling price, and the formulas behind business pricing.
Read guide →GUIDESimple interest formula
Calculate interest from principal, annual rate, and time.
Read guide →GUIDELoan payment formula
Understand periodic payments, total repaid, and total interest.
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