Tutorvo

Math & Teaching

Mathematics you can see working

A spreadsheet is a remarkably good place to learn mathematics: change one input and you watch every dependent value move. These courses use that to make ideas concrete, from linear functions and sequences to probability paradoxes and differential equations. You build each model yourself and the checker confirms every cell.

The 26 courses cover business maths, algebra and functions, geometry and trigonometry, probability and combinatorics, calculus and numerical methods, linear algebra and vectors, logic and sets, game theory, voting and apportionment, Markov chains, cryptography basics and chaos. For learners preparing for admissions tests there is GMAT- and GRE-style quantitative practice, and teachers will find a course on gradebooks and class analytics.

Courses in Math & Teaching

Math & Teaching

Business Math Essentials

Percentages, ratios, interest, discount chains, weighted averages, unit rates, break-even and growth: 8 hands-on labs that make everyday business maths automatic.

8 lessons · 8 labs · 1.9 h

BeginnerCertificate$9.99
Math & Teaching

Probability & Combinatorics for Decisions

Complements, counting, conditional probability, Bayes, expected value, binomial, Poisson and normal: 8 labs that turn chance into better business decisions.

8 lessons · 8 labs · 2 h

IntermediateCertificate$9.99
Math & Teaching

Excel for Teachers: Gradebooks & Class Analytics

Build a weighted gradebook, drop the lowest score, assign letter grades, curve a test, track attendance and analyse your test questions, every cell checked instantly.

8 lessons · 8 labs · 1.7 h

BeginnerCertificate$9.99
Math & Teaching

Algebra & Functions with Spreadsheets

Learn algebra by computing it: expressions, linear functions and graphs, systems of equations, quadratics, exponential growth, logarithms, inequalities and a numerical root finder in 8 hands-on labs.

8 lessons · 8 labs · 2 h

BeginnerCertificate$9.99
Math & Teaching

GMAT & GRE-Style Quant Practice

Percent traps, ratios and mixtures, work and speed, interest, statistics, counting, number properties and data interpretation: 8 labs of word problems solved in a spreadsheet. Independent practice, not affiliated with GMAC or ETS; GMAT and GRE are trademarks of their owners.

8 lessons · 8 labs · 2 h

IntermediateCertificate$9.99
Math & Teaching

Actuarial Math Basics: Life Tables, Annuities & Premiums

Effective rates and discount factors, annuities certain, life tables, life expectancy, term insurance and pure endowments, life annuities, net level premiums and reserves: 8 graded labs that take one 10-year policy from interest theory to its reserve chart.

8 lessons · 8 labs · 2.2 h

IntermediateCertificate$9.99
Math & Teaching

Calculus with Spreadsheets: Rates of Change, Optimisation & Area

Learn calculus by computing it: difference quotients, derivatives and tangents, marginal analysis, profit optimisation, elasticity, trapezoid and Simpson integration, consumer surplus and growth with e in 8 hands-on labs.

8 lessons · 8 labs · 2.4 h

IntermediateCertificate$9.99
Math & Teaching

Trigonometry & Geometry with Spreadsheets

Learn practical trigonometry and geometry by computing it: radians, SOH CAH TOA, Pythagoras and coordinates, the laws of sines and cosines, Heron's formula, volumes for material estimates, sine waves and vector bearings in 8 hands-on labs from surveying, roofs, ramps and navigation.

8 lessons · 8 labs · 2.5 h

BeginnerCertificate$9.99
Math & Teaching

Modular Arithmetic & Cryptography Basics: From Caesar to Toy RSA

MOD and clock arithmetic, Caesar and affine ciphers, frequency analysis, Euclid and the extended Euclid inverse, square-and-multiply, a complete toy RSA key and ISBN/Luhn check digits: 8 graded labs (toy keys only, never for real security).

8 lessons · 8 labs · 2 h

IntermediateCertificate$9.99
Math & Teaching

Linear Programming by Hand: Graphical Method, Corner Points & Transportation

Formulate an LP, check plans for feasibility, draw constraint lines, solve corners with Cramer's rule, read shadow prices, build a northwest-corner shipping plan and enumerate an assignment: 8 graded labs plus Solver how-tos for a fictional brewery.

8 lessons · 8 labs · 1.9 h

IntermediateCertificate$9.99
Math & Teaching

Linear Algebra with Spreadsheets: Vectors, Matrices & Systems of Equations

Dot products and angles, matrix arithmetic, MMULT, transpose and identity, determinants, solving A x = b with MINVERSE, Markov chains and least squares via the normal equations: 8 graded labs on business and engineering data.

8 lessons · 8 labs · 1.8 h

IntermediateCertificate$9.99
Math & Teaching

Sequences & Series: Arithmetic, Geometric & Their Money Uses

nth terms, sums, growth and depreciation, the annuity formula behind FV, perpetuities, recursions, Σ with SUMPRODUCT and convergence tests: 8 graded labs with salaries, savings and a bouncing ball.

8 lessons · 8 labs · 2 h

IntermediateCertificate$9.99
Math & Teaching

Logic, Sets & Truth Tables with Spreadsheets

Propositions and truth tables with AND, OR, NOT and XOR, implication tricks, De Morgan proofs, sets as 0/1 columns, three-set Venn counts, a knights-and-knaves puzzle, ∀/∃ quantifiers with COUNTIF and a business-rule decision table, in 8 graded labs.

8 lessons · 8 labs · 1.8 h

BeginnerCertificate$9.99
Math & Teaching

Game Theory with Spreadsheets: Payoff Matrices, Nash Equilibria & Mixed Strategies

Best responses with MAX, iterated elimination of dominated strategies, pure and mixed Nash equilibria, the repeated prisoner's dilemma with discounting, zero-sum minimax, backward induction for entry deterrence and first- vs second-price auctions, all with two fictional coffee chains in a live spreadsheet that checks every cell. Educational only, not business or investment advice.

8 lessons · 8 labs · 2.1 h

IntermediateCertificate$9.99
Math & Teaching

Unit Conversions & Dimensional Analysis: Factor Chains, Rates & Mixed Units

Convert anything with confidence: factor-label chains, Excel's CONVERT function, squared and cubed area and volume factors, inverse rates like L/100 km ↔ mpg, temperature offsets, unit prices across currencies, significant figures and feet-inches or hours-minutes with INT and MOD, in 8 graded labs.

8 lessons · 8 labs · 1.9 h

BeginnerCertificate$9.99
Math & Teaching

Coordinate Geometry with Spreadsheets: Distance, Slopes, Lines, Circles & Polygons

Learn coordinate geometry by computing it on site plans, floor plans, maps and designs: distance and midpoint, slopes and ATAN2 directions, line equations and intersections, parallel and perpendicular checks, point-to-line distance, circles, shoelace areas with SUMPRODUCT and scale-rotate-translate transformations in 8 hands-on labs.

8 lessons · 8 labs · 2.4 h

BeginnerCertificate$9.99
Math & Teaching

Voting Methods & Social Choice: Plurality, Borda, Instant Runoff & Condorcet

Build preference profiles, count plurality and majority, simulate a two-round runoff, score a Borda count with SUMPRODUCT, run instant-runoff elimination rounds in a step table, find the Condorcet winner in a pairwise matrix, count approval ballots and watch the same ballots produce four different winners: 8 graded labs on one fictional town vote. Educational only, no endorsement of any electoral system.

8 lessons · 8 labs · 1.9 h

IntermediateCertificate$9.99
Math & Teaching

Chaos & Iteration in Spreadsheets: The Logistic Map, Fixed Points & Fractals

Explore chaos the hands-on way: iterate functions down a column, test fixed points with |f′(x*)| < 1, watch the logistic map converge, cycle and turn chaotic (with a chart), build a bifurcation table and diagram, measure sensitive dependence and the Lyapunov exponent, model a fish stock with the Ricker map and harvesting, and draw a Mandelbrot set from escape-time counts with a recursive LAMBDA and a colour scale – 8 labs, every cell checked instantly.

8 lessons · 8 labs · 2.1 h

IntermediateCertificate$9.99
Math & Teaching

Differential Equations in Spreadsheets: Euler, Heun & Runge–Kutta Methods

Slope fields, Euler's method against exact solutions, step size and the order of a method, Heun, RK4 by hand, predator–prey systems, the damped spring as a second-order ODE and stiffness with backward Euler: 8 hands-on labs that solve ODEs cell by cell.

8 lessons · 8 labs · 2.2 h

IntermediateCertificate$9.99
Math & Teaching

Auction Math: First-Price, Second-Price, Reserve Prices & the Winner's Curse

Who wins and who pays in English, Dutch, first-price and Vickrey auctions, expected revenue from order statistics, optimal bid shading, revenue equivalence, reserve prices, the winner's curse, search-ad GSP auctions and procurement bidding, all with a fictional auction house in a live spreadsheet that checks every cell. Educational only, not business, legal or investment advice.

8 lessons · 8 labs · 2.1 h

IntermediateCertificate$9.99
Math & Teaching

Apportionment Math: Hamilton, Jefferson, Webster & Huntington–Hill

Compute standard divisors and quotas, apportion seats with Hamilton's largest remainders (RANK.EQ), Jefferson's and Webster's modified divisors and Huntington–Hill's geometric-mean rounding, compare who gains and loses in a chart, reproduce the Alabama and population paradoxes and fill D'Hondt and Sainte-Laguë quotient tables: 8 graded labs on one fictional country. Educational only, no political recommendation.

8 lessons · 8 labs · 2.1 h

IntermediateCertificate$9.99
Math & Teaching

Vectors & 3D Geometry in Spreadsheets: Dot & Cross Products, Planes & Projections

Build 3D vectors from points, measure lengths and unit vectors, add and scale displacements and chart a route, find angles with the dot product, project forces and compute work, take cross products for areas, build a plane from three points and measure distances to it, find the closest approach of two drones and finish with torque and cosine shading: 8 graded labs with SUMPRODUCT, SUMSQ, ACOS and plain component formulas.

8 lessons · 8 labs · 2 h

IntermediateCertificate$9.99
Math & Teaching

Markov Chains in Spreadsheets: Transition Matrices, Steady States & Board Games

Turn weather records into a transition matrix, raise it to powers with MMULT, solve the steady state with MINVERSE, use the fundamental matrix for absorbing chains, compute gambler's-ruin odds, build a snakes-and-ladders matrix from dice rolls, project brand market shares with a chart and compare a simulation with the exact answer: 8 graded labs.

8 lessons · 8 labs · 2 h

IntermediateCertificate$9.99

Guides with worked examples

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Frequently asked questions

Is this suitable for school students?

Many courses work well from upper secondary level onwards. They are written for adult learners, so younger students may want a teacher or parent nearby.

Can teachers use the courses in class?

Teachers can take any course themselves. Team and classroom licences are not available yet.

How much does a course cost?

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.

Ready to learn by doing?

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