I'll do an outline here - then follow each outline item to Khan Academy for steps and details * numbers - natural numbers, integers +ve/-ve numbers addition su

I'll do an outline here - then follow each outline item to Khan Academy for steps and details * numbers - natural numbers, integers +ve/-ve numbers addition subtraction * numbers - rationals, reals, multiplication/division * numbers - fraction and decimal representations - addition/subtraction/mult/division of fractions and decimals * sets and functions - mappings, single valued and multivalued, domain and range * powers and exponents * algebra - functions and equations linear equations, quadratic equations, simultaneous equations * geometry and trig ^^ althat was pre-calculus and I may have condensed the steps a lot * limits <-- this is basic stuff for calculus - all of calculus is about starting with finite expressions and then taking limits as something becomes infinite or infinitesimal. * continuity of functions * derivatives mean value theorem * integrals integration and differentiation is often taught in that order but integration is much easier to understand intuitively since areas and volumes are more concrete and tangible velocity as a vector tangent to the direction of motion is less tangible to most. After this point you take a sidestep and start the process again at a higher level with * sequences and series (limits on steroids) * linear algebra (simultaneous equations on steroids) * multivar calc (calculus on steroids) Then there's complex analysis, differential equations, partial differential equations and so on. Note here I am taking the usual more 'applied' approach to math which is tangible. The more 'pure' approach' - abstract and much harder for most is to go logic and number systems real analysis algebra complex analysis measure theory / probability functional analysis ... which is what you'd do if you were on a pure math rather than an engineering math track. Hope that helps.