Science & Engineering
Scientific formulas become intuitive once you have put numbers through them yourself. These courses turn textbook equations into spreadsheets you build step by step: motion and energy, reactions and concentrations, circuits and power, stress and strain. Each cell is checked, and charts help you see how the results behave when the inputs change.
The 28 courses cover physics, chemistry, electrical engineering, lab statistics and measurement uncertainty, engineering economics, materials and heat transfer, climate, air quality, hydrology and tides, wind energy, seismology, radioactivity, optics and acoustics, biology and ecology, astronomy and exoplanets, rocketry, brewing and food science, and photography maths.
Science & EngineeringCompare machines, pumps and public projects the way engineers do: interest factors, present and annual worth, incremental ROR, B/C ratios, MACRS depreciation, replacement and break-even, every cell checked live.
Science & EngineeringDo the maths of general chemistry hands-on: molar mass with XLOOKUP, moles and particles, empirical formulas, limiting reagents, yields, dilutions, the ideal gas law and pH, every cell checked live. Calculations only, no lab procedures.
Science & EngineeringUnits and significant figures, kinematics, projectiles, Newton's laws with friction, energy, momentum, orbits and a pendulum simulation: 8 hands-on mechanics labs in SI units with g = 9.81 m/s².
Science & EngineeringOhm's law, series and parallel resistors, Kirchhoff with Cramer's rule, AC sine waves, impedance, power factor, energy bills and cable voltage drop: 8 hands-on calculation labs (no wiring instructions).
Science & EngineeringAnalyse real-world style lab data hands-on: replicates and %RSD, outlier tests, calibration curves with LINEST, unknowns with their uncertainty, LOD/LOQ, uncertainty budgets, Westgard control charts and method comparison, every cell checked live. Statistics only, no lab procedures.
Science & EngineeringDaily to monthly statistics, anomalies against the 1991–2020 normal, trends per decade, degree days, heat and dry-spell extremes, running means, return periods and unit conversions with a heat index: 8 graded labs on one station's synthetic records.
Science & EngineeringPunnett squares, chi-square tests, Hardy-Weinberg, exponential and logistic growth, bacterial doubling times, serial dilutions, Michaelis-Menten kinetics and biodiversity indices: the maths of AP, IB and first-year biology in a live spreadsheet that checks every cell.
Science & EngineeringCosmic units, Kepler's third law on a log-log plot, escape velocity, parallax, the distance modulus, luminosity and the inverse-square law, Wien's law and Hubble's law: 8 graded labs with real IAU, NASA and CODATA constants.
Science & EngineeringThiessen rainfall, the rational method, SCS curve numbers, unit hydrograph convolution, a reservoir water balance, flow duration curves, demand forecasts and Hazen-Williams pipe sizing: 8 graded labs on one synthetic catchment.
Science & EngineeringAxial stress and strain, Young's modulus from a tensile test, thermal expansion, factors of safety, shear and bearing in pins, beam reactions and bending moments, bending stress and deflection checks: solve the core strength-of-materials problems in SI units in a live spreadsheet that checks every cell. Educational, not a substitute for design codes or an engineer's review.
Science & EngineeringSpecific heat and kWh, conduction through walls with R- and U-values, building heat loss with degree-days, convection and radiation, heat exchanger LMTD, Newton's law of cooling, efficiency, COP and the Carnot limit, and an insulation payback: solve the core heat-transfer problems in SI units in a live spreadsheet that checks every cell. Educational, not a substitute for design codes or an engineer's review.
Science & EngineeringConvert ppb to µg/m³, build valid 24-hour means from hourly data, calculate US AQI sub-indices by interpolation, count exceedance days against the WHO 2021 guidelines, chart the daily NO2 cycle, compare weekdays with weekends and build an emissions inventory: 8 graded labs on synthetic station data.
Science & EngineeringCalculate the power in the wind and the Betz limit, extrapolate wind shear to hub height, interpolate a power curve, model the wind climate with a Weibull distribution, sum the annual energy production with a chart, apply losses for the capacity factor and work out a simple LCOE: 8 graded labs for one illustrative wind farm.
Science & EngineeringSoil texture classes, bulk density and porosity, available water in the root zone, crop water need with ET0 × Kc, a daily irrigation schedule, fertiliser rates from the N-P-K grade, lime from pH and drip vs sprinkler costs: 8 graded labs on one fictional farm.
Science & EngineeringThe decay law and λ from the half-life, activity in becquerel and curie, the remaining fraction after n half-lives, radiocarbon ages, parent–daughter ingrowth, the inverse-square law and half-value layers, simple dose estimates and Tc-99m ordering, with half-lives from the IAEA nuclide chart in a live spreadsheet that checks every cell. Educational only, not radiation-safety or medical guidance.
Science & EngineeringCalculate light the way optics labs do: speed of light and refractive index, Snell's law with ASIN and the critical angle for total internal reflection, the thin lens equation with real and virtual images, dioptres and lens combinations (with the idea behind glasses), concave and convex mirrors, lumens, candela, lux and the inverse-square law, LED lighting design with the lumen method, and photon energy E = hc/λ with a chart – 8 labs at one fictional optics workshop, every cell checked instantly. Educational only, not eye-care or engineering advice.
Science & EngineeringWork with sound the way acousticians do: sound pressure level with 20·LOG10(p/p₀), adding sources the energy way and removing background noise, −6 dB per doubling of distance with a chart, daily noise dose with Leq and LEX,8h, permissible exposure times under the 3 dB and 5 dB exchange rates, Sabine reverberation time, absorption upgrades and the wavelength of sound – 8 labs for one fictional acoustics consultancy, every cell checked instantly. Educational only: exposure limits are cited in general terms, check the rules that apply to you.
Science & EngineeringCalculate earthquakes the way seismologists do: seismic moment and moment magnitude Mw, energy ratios of 10^(1.5ΔM), P and S travel times with a travel-time chart and distance from the S−P interval, locating an epicentre by a grid search with INDEX and MATCH, the Gutenberg–Richter b-value with SLOPE and a trendline chart, recurrence intervals and the Poisson chance of at least one event, Omori aftershock decay and an illustrative intensity attenuation – 8 labs on one fictional seismic network, every cell checked instantly. Educational only, not a hazard assessment.
Science & EngineeringCalculate electric-vehicle energy from first principles in 8 hands-on labs: usable battery and consumption units, range scenarios, rolling resistance and air drag at speed, cold-weather effects, tapering charging curves, home vs fast-charging cost, a road-trip plan with charging stops, and wall-to-wheel losses with CO2 per km.
Science & EngineeringDensity and frequency from quadrats, percent cover scales, population estimates with a t confidence interval, Lincoln-Petersen and Chapman, Schnabel multiple recaptures, line-transect density, a species accumulation curve and Jaccard and Sørensen similarity: 8 graded labs on synthetic field data from one fictional reserve.
Science & EngineeringFirst-order quality loss from ln C vs time, shelf life to a quality limit, Q10 and accelerated shelf-life testing, the Arrhenius plot and activation energy, water activity from a sorption table, microbial growth with lag and doubling time, D, z and F0 thermal lethality, and a shelf-life report with a chart: 8 graded labs on one fictional food maker. Illustrative data, not food-safety guidance.
Science & EngineeringDo the maths behind every photo yourself: exposure value EV = log₂(N²/t) and EV at ISO 100, the stop system (f-numbers as powers of √2, equivalent exposures), sunny 16 and light-meter readings, crop factor and angle of view, depth of field from the circle of confusion, a hyperfocal table with INDEX/MATCH, flash guide numbers with the inverse-square law, and the 500 rule vs pixel-level blur with a chart – 8 labs at one fictional photo workshop, every cell checked instantly. Educational only; not affiliated with any camera maker.
Science & EngineeringThrust curves and total impulse, motor classes, thrust-to-weight, the Tsiolkovsky rocket equation, staging, a step-by-step flight simulation with drag, ejection delay and parachute sizing: 8 hands-on labs for model rocketry and basic spaceflight. Fictional club and motors, educational only; always follow your local hobby rocketry safety code.
Science & EngineeringModel a tide as cosine constituents, beat M2 against S2 into springs and neaps, read high and low water, test the rule of twelfths, interpolate tidal streams, size a tidal prism, compute wave speed by depth, wave energy and power, and fit a sea-level trend: 8 graded labs with illustrative data, not for navigation.
Science & EngineeringPredict the original gravity from malt extract potential and efficiency, estimate ABV with two formulas, compare apparent and real attenuation in °Plato, calculate IBU with Tinseth, colour with the Morey equation, brewing-water salt additions, yeast pitch rates and priming sugar for a target carbonation: 8 graded labs on one fictional homebrewer's recipes. Illustrative homebrewing science, no brand affiliation, drink responsibly.
Science & EngineeringConvert units and gases to kg CO2e, turn energy bills into emissions, compare petrol, hybrid and electric cars, price flights by distance and cabin class, count food and goods, see the total per person against a target and rank reduction actions by cost per tonne: 8 graded labs on a fictional household.
Science & EngineeringFind and characterise planets around other stars in a spreadsheet: transit depth to planet radius, period and ephemeris from repeated dips, Kepler's third law, equilibrium temperature, habitable-zone edges, minimum mass from radial velocity, density and composition hints, and a catalogue chart, every cell checked as you go. Educational, simplified and fictional data, not affiliated with any space agency.
Science & EngineeringPlan night-sky images: framing, image scale, exposure limits, stacking time and dark windows, with every cell checked as you go.
A limiting reagent example worked step by step: grams to moles, moles ÷ coefficient, theoretical and percent yield and the excess left over, in Excel.
Calculate LOD and LOQ from a calibration curve in Excel: SLOPE, INTERCEPT, RSQ and STEYX, LOD = 3.3σ/S, LOQ = 10σ/S, the blank method, ND and DNQ.
The Hardy-Weinberg equation p² + 2pq + q² = 1 in Excel: allele frequencies, expected genotypes, chi-square test and carrier frequency. Worked example.
A present worth analysis example from engineering economics: two machines with equal lives, P/F factors, NPV in Excel and how the MARR changes the choice.
How to calculate the US AQI from PM2.5: truncate, find the 2024 EPA breakpoints with MATCH and interpolate. Excel example with every formula.
Radiocarbon dating calculation step by step: age from the fraction of C-14 left, the 5,700 vs Libby 5,568 half-life, the detection limit. Excel example.
Most start at upper secondary or first-year university level and explain the formulas they use. Advanced courses say so in their level label.
The labs use realistic, illustrative values so that the results can be checked exactly. You can apply the same sheets to your own measurements afterwards.
Each course is a single purchase of $9.99. That covers every lesson and lab, the final exam and the certificate, with no subscription and nothing that renews.
Start with the recommended course and build your first result in the lab today.
