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I know this is a bit off topic, but does anyone know of a source (book, video, website, etc) which you could use to review the math from 0 to Calculus in one da

I know this is a bit off topic, but does anyone know of a source (book, video, website, etc) which you could use to review the math from 0 to Calculus in one day? A sort of big picture overview of how math evolves from simple to complex. I've always wanted to do it, just to keep the math in my head fresh.

Permit 14y ago
Khan Academy might be exactly what you're looking for. It has videos ranging from addition all the way through to second year undergrad calculus. I've found the most important (and difficult) part of learning math is to force myself to practice. Much like programming, mathematics is something best learned actively. Simply reading/watching videos rarely gets me anywhere.
nborwankar 14y ago
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.
- plainOldText 14y ago
  Wow, thanks. You took the time to write all that. That is awesome.

Permit 14y ago

Khan Academy might be exactly what you're looking for. It has videos ranging from addition all the way through to second year undergrad calculus. I've found the most important (and difficult) part of learning math is to force myself to practice. Much like programming, mathematics is something best learned actively. Simply reading/watching videos rarely gets me anywhere.

nborwankar 14y ago

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.

plainOldText 14y ago
Wow, thanks. You took the time to write all that. That is awesome.