Applied Math Tools

Compute A = P(1+r/n)^(nt) with various compounding frequencies, monthly contributions, growth chart, year-by-year table, and Rule of 72.

Convert across 10 categories: length, mass, volume, temperature, speed, area, energy, pressure, time, and data. See all conversions at once.

Calculate monthly payments, total interest, and generate a full amortization schedule. See the impact of extra payments with principal vs interest charts.

Enter experimental data (x, y pairs) or paste CSV, perform linear regression with R-squared, standard errors, and residual analysis. Propagate uncertainties through addition, multiplication, division, and power operations. Calculate percent error with significant figures. SVG scatter plot with best-fit line and error bars.

Build a personal budget with income and expense categories. Analyze spending with the 50/30/20 rule, visualize cash flow with a waterfall chart, and compare budget scenarios side by side.

Calculate compound growth with contributions, compare real vs nominal returns, see the impact of fees over decades, and use the Rule of 72. Stacked area chart shows principal, contributions, and growth.

Calculate loan payments with the PMT formula, compare avalanche vs snowball debt payoff strategies, and see the true cost of credit card minimum payments with amortization charts.

Maximize or minimize an objective function subject to linear constraints. Visualize the feasible region, evaluate corner points, perform sensitivity analysis, and solve integer programming problems.

Calculate expected value and variance for random outcomes. Build and fold back decision trees to find optimal strategies. Compare insurance plans by expected annual cost and break-even frequency.

Analyze M/M/1 and M/M/c queues with Little's Law. Schedule jobs with FCFS, SPT, EDD algorithms and Gantt charts. Find maximum flow in networks with Ford-Fulkerson and min-cut identification.

Analyze four-bar linkages, crank-slider mechanisms, and cam-follower systems. Compute degrees of freedom, Grashof classification, transmission angles, and trace coupler curves with interactive animation

Test wood, plastic, metal, fabric, paper, and clay against engineering challenges. Discover which materials work best for shelters, bridges, boats, and parachutes. Grades 2-5.

Pick building pieces and stack them into towers, bridges, and pyramids. Discover how triangles add strength and wide bases add stability. Grades K-3.

Choose materials to build a shelter that blocks rain, sun, and wind within a budget. An engineering design challenge introducing K-2 ETS standards. Grades K-2.

Set a monthly income and allocate it across six categories with sliders that always sum to 100 percent. A live pie chart and monthly dollar amounts show how spending choices affect savings.

Allocate a $1000 budget across five bicycle components by choosing quality tiers. A radar chart, overall score, and best-upgrade hint show how trade-offs change performance. Covers speed, safety, durability, comfort, and weight.